Edit Profile (opens in new tab) Shparlinski, Igor E. Compute Distance To: Compute Author ID: shparlinski.igor-e Published as: Shparlinski, Igor E.; Shparlinski, Igor; Shparlinskij, I. E.; Shparlinski, I. E.; Shparlinskiĭ, I. E.; Shparlinksi, Igor E.; Shparlinskii, I. E.; Shparlinski, I.; Shparlinski, Igor. E.; Shparlinskij, Igor E.; Spharlinski, Igor E. Homepage: http://web.maths.unsw.edu.au/~igorshparlinski/ External Links: MGP · ORCID · Wikidata · ResearchGate · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 700 Publications since 1978, including 7 Books 9 Contributions as Editor · 1 Further Contribution Co-Authors: 235 Co-Authors with 510 Joint Publications 6,280 Co-Co-Authors all top 5 Co-Authors 199 single-authored 77 Luca, Florian 63 Banks, William D. 29 Friedlander, John Benjamin 29 Ostafe, Alina 24 von zur Gathen, Joachim 24 Winterhof, Arne 21 Garaev, Moubariz Z. 20 Konyagin, Sergeĭ Vladimirovich 14 Pomerance, Carl Bernard 13 Niederreiter, Harald 13 Sha, Min 10 Gomez-Perez, Domingo 10 Voloch, José Felipe 9 Ahmadi, Omran 9 Bourgain, Jean 9 Gutierrez, Jaime 9 Pappalardi, Francesco 9 Stepanov, Sergei Alexandrovich 8 Karpinski, Marek 8 Lieman, Daniel B. 8 Nguyen, Phong Q. 7 Blackburn, Simon R. 7 Chen, Changhao 7 Cilleruelo, Javier 7 El-Mahassni, Edwin D. 7 Kerr, Bryce 7 Mans, Bernard 7 Mérai, László 6 Chang, Mei-Chu 6 Farashahi, Reza Rezaeian 6 Ford, Kevin B. 6 van der Poorten, Alfred J. 6 Zhang, Tianping 5 Balasuriya, Sanka 5 Bernasconi, Anna 5 Blake, Ian F. 5 Heyman, Randell 5 Lange, Tanja 5 Liu, Kui 5 Mullen, Gary L. 5 Panario, Daniel 5 Steinfeld, Ron 4 Conflitti, Alessandro 4 Damm, Carsten 4 Everest, Graham Robert 4 González Vasco, María Isabel 4 Griffin, Frances 4 Khan, Mizan R. 4 Kohel, David R. 4 Kosachevskaya, L. L. 4 Munsch, Marc 4 Näslund, Mats 4 Shkredov, Il’ya Dmitrievich 4 Sutantyo, Daniel 4 Yau, Kam-hung 4 Zannier, Umberto M. 3 Bordellès, Olivier 3 Broughan, Kevin A. 3 Cohen, Stephen D. 3 Cojocaru, Alina Carmen 3 Dietmann, Rainer 3 Elsholtz, Christian 3 Fouvry, Etienne 3 Kurlberg, Pär 3 Macourt, Simon 3 Menezes, Alfred J. 3 Moree, Pieter 3 Murty, Maruti Ram 3 Romanovtsev, V. V. 3 Silverman, Joseph Hillel 3 Stichtenoth, Henning 3 Sutherland, Andrew V. 3 Wang, Huaxiong 3 Zumalacárregui, Ana 2 Allender, Eric W. 2 Baker, Roger C. 2 Balog, Antal 2 Canetti, Ran 2 Chan, Tsz Ho 2 Contini, Scott 2 Coppersmith, Don 2 D’Andrea, Carlos 2 de la Bretèche, Régis 2 Dewar, Michael C. 2 Dubickas, Artūras 2 Galiev, V. I. 2 Ghioca, Dragos 2 Harcharras, Asma 2 Harman, Glyn 2 Heath-Brown, Roger 2 Howgrave-Graham, Nick A. 2 Larsen, Michael Jeffrey 2 Lenstra, Arjen K. 2 Levieil, Eric 2 Levin, Mordekhaĭ Borisovich 2 Ling, San 2 McGuire, Gary 2 Petridis, Giorgis 2 Polupanov, A. F. 2 Roche-Newton, Oliver ...and 203 more Co-Authors all top 5 Serials 30 Journal of Number Theory 26 Bulletin of the Australian Mathematical Society 25 Proceedings of the American Mathematical Society 21 Acta Arithmetica 20 Mathematics of Computation 20 Finite Fields and their Applications 15 The Quarterly Journal of Mathematics 13 Designs, Codes and Cryptography 11 SIAM Journal on Discrete Mathematics 11 Indagationes Mathematicae. New Series 11 Applicable Algebra in Engineering, Communication and Computing 11 International Journal of Number Theory 10 Information Processing Letters 10 Archiv der Mathematik 10 Mathematika 9 Periodica Mathematica Hungarica 9 Canadian Mathematical Bulletin 9 Glasgow Mathematical Journal 9 Michigan Mathematical Journal 9 Monatshefte für Mathematik 9 IMRN. International Mathematics Research Notices 8 Mathematical Notes 8 Transactions of the American Mathematical Society 8 Experimental Mathematics 7 IEEE Transactions on Information Theory 7 Bulletin of the London Mathematical Society 7 U.S.S.R. Computational Mathematics and Mathematical Physics 7 Bulletin of the Polish Academy of Sciences, Mathematics 7 Journal of Mathematical Cryptology 6 Canadian Journal of Mathematics 6 Mathematische Zeitschrift 6 Uniform Distribution Theory 5 Rocky Mountain Journal of Mathematics 5 Russian Mathematical Surveys 5 Journal of Complexity 5 Computational Complexity 5 Journal de Théorie des Nombres de Bordeaux 5 Mathematical Research Letters 4 Matematicheskie Zametki 4 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 4 Colloquium Mathematicum 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 SIAM Journal on Computing 4 Theoretical Computer Science 4 Journal of Symbolic Computation 4 Linear Algebra and its Applications 4 Integers 4 Contemporary Mathematics 3 Journal d’Analyse Mathématique 3 Journal of Mathematical Analysis and Applications 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Problems of Information Transmission 3 Uspekhi Matematicheskikh Nauk [N. S.] 3 Advances in Mathematics 3 Functiones et Approximatio. Commentarii Mathematici 3 Illinois Journal of Mathematics 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of the London Mathematical Society. Second Series 3 Algorithmica 3 Revista Matemática Iberoamericana 3 Journal of Cryptology 3 Mathematics of the USSR, Sbornik 3 Boletín de la Sociedad Matemática Mexicana. Third Series 3 Annals of Combinatorics 3 Revista Matemática Complutense 3 Journal of the Australian Mathematical Society 3 Progress in Computer Science and Applied Logic 3 Advances in Mathematics of Communications 2 Discrete Mathematics 2 Israel Journal of Mathematics 2 Acta Scientiarum Mathematicarum 2 Czechoslovak Mathematical Journal 2 Kodai Mathematical Journal 2 Manuscripta Mathematica 2 Pacific Journal of Mathematics 2 Publicationes Mathematicae 2 Journal of Algorithms 2 European Journal of Combinatorics 2 Applied Mathematics Letters 2 Forum Mathematicum 2 Discrete Mathematics and Applications 2 Problemy Peredachi Informatsii 2 Matematicheskiĭ Sbornik 2 The New York Journal of Mathematics 2 Discrete and Continuous Dynamical Systems 2 The Ramanujan Journal 2 Journal of Integer Sequences 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Pure and Applied Mathematics Quarterly 2 Proceedings of the Steklov Institute of Mathematics 2 Research in the Mathematical Sciences 1 Discrete Applied Mathematics 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Journal of Mathematical Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales des Sciences Mathématiques du Québec 1 The Australian Mathematical Society Gazette 1 Bulletin de la Société Mathématique de France 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica ...and 50 more Serials all top 5 Fields 654 Number theory (11-XX) 137 Information and communication theory, circuits (94-XX) 75 Computer science (68-XX) 54 Algebraic geometry (14-XX) 42 Numerical analysis (65-XX) 29 Combinatorics (05-XX) 29 Dynamical systems and ergodic theory (37-XX) 13 Field theory and polynomials (12-XX) 10 General and overarching topics; collections (00-XX) 7 Commutative algebra (13-XX) 7 Quantum theory (81-XX) 5 Convex and discrete geometry (52-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Operator theory (47-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 542 Publications have been cited 3,209 times in 1,523 Documents Cited by ▼ Year ▼ Handbook of finite fields. Zbl 1319.11001 150 2013 Recurrence sequences. Zbl 1033.11006Everest, Graham; van der Poorten, Alf; Shparlinski, Igor; Ward, Thomas 97 2003 Character sums with exponential functions and their applications. Zbl 0933.11001Konyagin, S. V.; Shparlinski, I. E. 76 1999 Parameters of integral circulant graphs and periodic quantum dynamics. Zbl 1119.81042Saxena, Nitin; Severini, Simone; Shparlinski, Igor E. 42 2007 Graphs with integral spectrum. Zbl 1178.05060Ahmadi, Omran; Alon, Noga; Blake, Ian F.; Shparlinski, Igor E. 40 2009 On the hidden shifted power problem. Zbl 1311.11111Bourgain, Jean; Garaev, Moubariz Z.; Konyagin, Sergei V.; Shparlinski, Igor E. 32 2012 Finite fields: theory and computation. The meeting point of number theory, computer science, coding theory and cryptography. Zbl 0967.11052Shparlinski, I. E. 29 1999 Cryptographic applications of analytic number theory. Complexity lower bounds and pseudorandomness. Zbl 1036.94001Shparlinski, I. 27 2003 Computational and algorithmic problems in finite fields. Zbl 0780.11064Shparlinski, Igor E. 26 1992 Pseudorandomness and dynamics of Fermat quotients. Zbl 1263.11003Ostafe, Alina; Shparlinski, Igor E. 25 2011 On the distribution of inversive congruential pseudorandom numbers in parts of the period. Zbl 0983.11048Niederreiter, Harald; Shparlinski, Igor E. 24 2001 On the concentration of points of polynomial maps and applications. Zbl 1285.11027Cilleruelo, Javier; Garaev, Moubariz Z.; Ostafe, Alina; Shparlinski, Igor E. 23 2012 On polynomial approximation of the discrete logarithm and the Diffie-Hellman mapping. Zbl 1038.94007Coppersmith, Don; Shparlinski, Igor 23 2000 On the statistical properties of Diffie-Hellman distributions. Zbl 0997.11066Canetti, Ran; Friedlander, John; Konyagin, Sergei; Larsen, Michael; Lieman, Daniel; Shparlinski, Igor 23 2000 Sato-Tate, cyclicity, and divisibility statistics on average for elliptic curves of small height. Zbl 1250.11064Banks, William D.; Shparlinski, Igor E. 23 2009 On a ternary quadratic form over primes. Zbl 1243.11093Fouvry, Étienne; Shparlinski, Igor E. 22 2011 The insecurity of the digital signature algorithm with partially known nonces. Zbl 1009.94011Nguyen, Phong Q.; Shparlinski, Igor E. 22 2002 On the cycle structure of repeated exponentiation modulo a prime. Zbl 1060.11059Chou, Wun-Seng; Shparlinski, Igor E. 22 2004 Curves with many points and multiplication in finite fields. Zbl 0805.14028Shparlinski, Igor E.; Tsfasman, Michael A.; Vladut, Serge G. 21 1992 On the divisibility of Fermat quotients. Zbl 1223.11116Bourgain, Jean; Ford, Kevin; Konyagin, Sergei V.; Shparlinski, Igor E. 21 2010 Product sets of rationals, multiplicative translates of subgroups in residue rings, and fixed points of the discrete logarithm. Zbl 1232.11003Bourgain, Jean; Konyagin, Sergei V.; Shparlinski, Igor E. 20 2008 Character sums with exponential functions. Zbl 1017.11045Friedlander, John B.; Hansen, Jan; Shparlinski, Igor E. 20 2000 Recent advances in the theory of nonlinear pseudorandom number generators. Zbl 1076.65008Niederreiter, Harald; Shparlinski, Igor E. 20 2002 Period of the power generator and small values of Carmichael’s function. Zbl 1029.11043Friedlander, John B.; Pomerance, Carl; Shparlinski, Igor E. 19 2002 On exponential sums and group generators for elliptic curves over finite fields. Zbl 1032.11034Kohel, David R.; Shparlinski, Igor E. 19 2000 On the distribution and lattice structure of nonlinear congruential pseudorandom numbers. Zbl 0942.11037Niederreiter, Harald; Shparlinski, Igor E. 19 1999 The insecurity of the elliptic curve digital signature algorithm with partially known nonces. Zbl 1039.94008Nguyen, Phong Q.; Shparlinski, Igor E. 19 2003 Modular hyperbolas. Zbl 1272.11050Shparlinski, Igor E. 19 2012 Character sums over integers with restricted \(g\)-ary digits. Zbl 1026.11068Banks, William D.; Conflitti, Alessandro; Shparlinski, Igor E. 18 2002 Prime numbers with Beatty sequences. Zbl 1167.11010Banks, William D.; Shparlinski, Igor E. 18 2009 On the distribution of the power generator. Zbl 1029.11042Friedlander, John B.; Shparlinski, Igor E. 17 2001 Orders of Gauss periods in finite fields. Zbl 0931.11057von zur Gathen, Joachim; Shparlinski, Igor 17 1998 On the Naor-Reingold pseudo-random function from elliptic curves. Zbl 1011.11055Shparlinski, Igor E. 16 2000 On the energy of some circulant graphs. Zbl 1083.05029Shparlinski, Igor 16 2006 Piatetski-Shapiro sequences. Zbl 1327.11062Baker, Roger C.; Banks, William D.; Brüdern, Jörg; Shparlinski, Igor E.; Weingartner, Andreas J. 15 2013 Dynamical systems generated by rational functions. Zbl 1030.11072Niederreiter, Harald; Shparlinski, Igor E. 15 2003 On the distribution of rational functions along a curve over \(\mathbb F_p\) and residue races. Zbl 1068.11043Granville, Andrew; Shparlinski, Igor E.; Zaharescu, Alexandru 15 2005 Arithmetic properties of numbers with restricted digits. Zbl 1049.11003Banks, William D.; Shparlinski, Igor E. 15 2004 On the linear complexity and multidimensional distribution of congruential generators over elliptic curves. Zbl 1116.14307Hess, Florian; Shparlinski, Igor E. 15 2005 Exponential sums and rational points on complete intersections. Zbl 0719.11086Shparlinskij, Igor E.; Skorobogatov, Alexej N. 15 1990 Character sums with Fermat quotients. Zbl 1273.11126Shparlinski, Igor E. 15 2011 On congruences with products of variables from short intervals and applications. Zbl 1301.11041Bourgain, Jean; Garaev, Moubariz Z.; Konyagin, Sergei V.; Shparlinski, Igor E. 14 2013 Bounds of multiplicative character sums with Fermat quotients of primes. Zbl 1221.11004Shparlinski, Igor E. 14 2011 Predicting nonlinear pseudorandom number generators. Zbl 1136.11316Blackburn, Simon R.; Gomez-Perez, Domingo; Gutierrez, Jaime; Shparlinski, Igor E. 14 2005 On the linear and nonlinear complexity profile of nonlinear pseudorandom number generators. Zbl 1063.65005Gutierrez, Jaime; Shparlinski, Igor E.; Winterhof, Arne 14 2003 Certain exponential sums and random walks on elliptic curves. Zbl 1068.11078Lange, Tanja; Shparlinski, Igor E. 14 2005 Prescribing the binary digits of squarefree numbers and quadratic residues. Zbl 1431.11015Dietmann, Rainer; Elsholtz, Christian; Shparlinski, Igor E. 14 2017 Density of non-residues in Burgess-type intervals and applications. Zbl 1229.11006Banks, W. D.; Garaev, M. Z.; Heath-Brown, D. R.; Shparlinski, I. E. 14 2008 On the distribution of points on multidimensional modular hyperbolas. Zbl 1123.11026Shparlinski, Igor E. 14 2007 Predicting the inversive generator. Zbl 1123.94330Blackburn, Simon R.; Gomez-Perez, Domingo; Gutierrez, Jaime; Shparlinski, Igor E. 13 2003 On approximately symmetric informationally complete positive operator-valued measures and related systems of quantum states. Zbl 1110.81028Klappenecker, Andreas; Rötteler, Martin; Shparlinski, Igor E.; Winterhof, Arne 13 2005 On numbers \(n\) dividing the \(n\)th term of a linear recurrence. Zbl 1262.11015Alba González, Juan José; Luca, Florian; Pomerance, Carl; Shparlinski, Igor E. 13 2012 Character sums and congruences with \(n!\). Zbl 1060.11046Garaev, Moubariz Z.; Luca, Florian; Shparlinski, Igor E. 13 2004 Cancellations amongst Kloosterman sums. Zbl 1368.11092Shparlinski, Igor E.; Zhang, Tianping 13 2016 On the value set of Fermat quotients. Zbl 1305.11003Shparlinski, Igor E. 13 2012 Fermat quotients: exponential sums, value set and primitive roots. Zbl 1250.11005Shparlinski, Igor E. 13 2011 On Gaussian sums for finite fields and elliptic curves. Zbl 0846.11064Shparlinski, I. E. 13 1992 On the degree growth in some polynomial dynamical systems and nonlinear pseudorandom number generators. Zbl 1227.11093Ostafe, Alina; Shparlinski, Igor E. 12 2010 On the security of Diffie-Hellman bits. Zbl 0997.94548González Vasco, Maria Isabel; Shparlinski, Igor E. 12 2001 On the distribution of pseudorandom numbers and vectors generated by inversive methods. Zbl 0999.11040Niederreiter, Harald; Shparlinski, Igor E. 12 2000 Multiplicative order of Gauss periods. Zbl 1201.11110Ahmadi, Omran; Shparlinski, Igor E.; Voloch, José Felipe 12 2010 On the linear complexity of the Naor-Reingold pseudo-random function from elliptic curves. Zbl 1077.11504Shparlinski, Igor E.; Silverman, Joseph H. 12 2001 On the maximal difference between an element and its inverse in residue rings. Zbl 1131.11005Ford, Kevin; Khan, Mizan R.; Shparlinski, Igor E.; Yankov, Christian L. 12 2005 Exponential sums over Mersenne numbers. Zbl 1060.11045Banks, William D.; Conflitti, Alessandro; Friedlander, John B.; Shparlinski, Igor E. 12 2004 On finding primitive roots in finite fields. Zbl 0871.11091Shparlinski, Igor 12 1996 Distribution of modular inverses and multiples of small integers and the Sato-Tate conjecture on average. Zbl 1225.11101Shparlinski, Igor E. 12 2008 Number theoretic methods in cryptography. Complexity lower bounds. Zbl 0912.11057Shparlinski, Igor 11 1999 Multiplicative congruences with variables from short intervals. Zbl 1385.11002Bourgain, Jean; Garaev, Moubariz Z.; Konyagin, Sergei V.; Shparlinski, Igor E. 11 2014 On the concentration of points on modular hyperbolas and exponential curves. Zbl 1198.11002Chan, Tsz Ho; Shparlinski, Igor E. 11 2010 Some doubly exponential sums over \({\mathbb Z}_m\). Zbl 1018.11041Friedlander, John B.; Konyagin, Sergei; Shparlinski, Igor E. 11 2002 On the spectral Ádám property for circulant graphs. Zbl 1035.05059Mans, Bernard; Pappalardi, Francesco; Shparlinski, Igor 11 2002 On the maximal difference between an element and its inverse modulo \(n\). Zbl 1047.11003Khan, M. R.; Shparlinski, I. E. 11 2003 On a generalisation of a Lehmer problem. Zbl 1269.11068Shparlinski, Igor E. 11 2009 On group structures realized by elliptic curves over arbitrary finite fields. Zbl 1257.11060Banks, William D.; Pappalardi, Francesco; Shparlinski, Igor E. 11 2012 Indifferentiable deterministic hashing to elliptic and hyperelliptic curves. Zbl 1312.94048Farashahi, Reza R.; Fouque, Pierre-Alain; Shparlinski, Igor E.; Tibouchi, Mehdi; Voloch, J. Felipe 11 2013 On the consecutive powers of a primitive root: gaps and exponential sums. Zbl 1276.11005Konyagin, Sergei V.; Shparlinski, Igor E. 11 2012 On the average energy of circulant graphs. Zbl 1135.05036Blackburn, Simon R.; Shparlinski, Igor E. 11 2008 Products in residue classes. Zbl 1182.11046Friedlander, John B.; Kurlberg, Pär; Shparlinski, Igor E. 11 2008 On values taken by the largest prime factor of shifted primes. Zbl 1139.11038Banks, William D.; Shparlinski, Igor E. 10 2007 On the solvability of bilinear equations in finite fields. Zbl 1246.11183Shparlinski, Igor E. 10 2008 Distribution of matrices with restricted entries over finite fields. Zbl 1181.11030Ahmadi, Omran; Shparlinski, Igor E. 10 2007 Points on curves in small boxes and applications. Zbl 1316.11024Chang, Mei-Chu; Cilleruelo, Javier; Garaev, Moubariz Z.; Hernández, José; Shparlinski, Igor E.; Zumalacárregui, Ana 10 2014 Functional graphs of polynomials over finite fields. Zbl 1327.05323Konyagin, Sergei V.; Luca, Florian; Mans, Bernard; Mathieson, Luke; Sha, Min; Shparlinski, Igor E. 10 2016 On the distribution of nonlinear recursive congruential pseudorandom numbers of higher orders. Zbl 0958.11052Griffin, Frances; Niederreiter, Harald; Shparlinski, Igor E. 10 1999 Smooth orders and cryptographic applications. Zbl 1058.11059Pomerance, Carl; Shparlinski, Igor E. 10 2002 Prime divisors of sparse integers. Zbl 1049.11010Shparlinski, I. E. 10 2003 Divisor problem in arithmetic progressions modulo a prime power. Zbl 1436.11103Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping 10 2018 Counting curves and their projections. Zbl 0990.68642von zur Gathen, Joachim; Karpinski, Marek; Shparlinski, Igor 10 1997 Distribution of some sequences of points on elliptic curves. Zbl 1129.14040Lange, Tanja; Shparlinski, Igor E. 10 2007 On the lower bound of the linear complexity over \(\mathbb F_p\) of Sidelnikov sequences. Zbl 1296.94073Garaev, Moubariz Z.; Luca, Florian; Shparlinski, Igor; Winterhof, Arne 10 2006 Arithmetic functions on Beatty sequences. Zbl 1227.11045Abercrombie, Alex G.; Banks, William D.; Shparlinski, Igor E. 10 2009 On sums of Kloosterman and Gauss sums. Zbl 1453.11105Shparlinski, Igor E. 9 2019 On the multidimensional distribution of inversive congruential pseudorandom numbers in parts of the period. Zbl 1011.11053Gutierrez, Jaime; Niederreiter, Harald; Shparlinski, Igor E. 9 2000 On the number of solutions of exponential congruences. Zbl 1268.11048Balog, Antal; Broughan, Kevin A.; Shparlinski, Igor E. 9 2011 On the length of critical orbits of stable quadratic polynomials. Zbl 1268.11155Ostafe, Alina; Shparlinski, Igor E. 9 2010 On the uniformity of distribution of congruential generators over elliptic curves. Zbl 1043.94536El Mahassni, Edwin; Shparlinski, Igor 9 2002 On the average value of divisor sums in arithmetic progressions. Zbl 1071.11055Banks, William D.; Heath-Brown, Roger; Shparlinski, Igor E. 9 2005 Isomorphism classes of elliptic curves over a finite field in some thin families. Zbl 1285.11092Cilleruelo, Javier; Shparlinski, Igor E.; Zumalacárregui, Ana 9 2012 On the number of various prime divisors of recurrence sequence. Zbl 0635.10006Shparlinskiĭ, I. E. 9 1987 On some dynamical systems in finite fields and residue rings. Zbl 1127.11052Shparlinski, Igor E. 9 2007 New bounds of Weyl sums. Zbl 1469.11276Chen, Changhao; Shparlinski, Igor E. 2 2021 On elements of large order on elliptic curves and multiplicative dependent images of rational functions over finite fields. Zbl 1479.11106Kerr, Bryce; Mello, Jorge; Shparlinski, Igor E. 1 2021 Restricted mean value theorems and the metric theory of restricted Weyl sums. Zbl 1480.11100Chen, Changhao; Shparlinski, Igor E. 1 2021 A sparsity result for the dynamical Mordell-Lang conjecture in positive characteristic. Zbl 07438204Ghioca, Dragos; Ostafe, Alina; Saleh, Sina; Shparlinski, Igor E. 1 2021 Sums of algebraic trace functions twisted by arithmetic functions. Zbl 1469.11267Korolev, Maxim; Shparlinski, Igor 3 2020 Congruences with intervals and arbitrary sets. Zbl 1483.11260Banks, William; Shparlinski, Igor 2 2020 Orders of points in families of elliptic curves. Zbl 1436.11061Shparlinski, Igor E. 2 2020 Smooth squarefree and squarefull integers in arithmetic progressions. Zbl 1446.11174Munsch, Marc; Shparlinski, Igor E.; Yau, Kam Hung 2 2020 On large values of Weyl sums. Zbl 1447.11086Chen, Changhao; Shparlinski, Igor E. 2 2020 Unlikely intersections over finite fields: polynomial orbits in small subgroups. Zbl 07147532Mérai, László; Shparlinski, Igor E. 2 2020 A refinement of the Burgess bound for character sums. Zbl 1471.11229Kerr, Bryce; Shparlinski, Igor E.; Yau, Kam Hung 2 2020 Average distribution of \(k\)-free numbers in arithmetic progressions. Zbl 1483.11205Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping 2 2020 Kloosterman paths of prime powers moduli. II. Zbl 1456.11233Ricotta, Guillaume; Royer, Emmanuel; Shparlinski, Igor 1 2020 Hausdorff dimension of the large values of Weyl sums. Zbl 1468.11167Chen, Changhao; Shparlinski, Igor E. 1 2020 On the structure of graphs of Markoff triples. Zbl 1477.11054Konyagin, Sergei V.; Makarychev, Sergey V.; Shparlinski, Igor E.; Vyugin, Ilya V. 1 2020 Lower bounds for periods of Ducci sequences. Zbl 1450.11018Breuer, Florian; Shparlinski, Igor E. 1 2020 On the complexity of exact counting of dynamically irreducible polynomials. Zbl 1479.11206Gómez-Pérez, Domingo; Mérai, László; Shparlinski, Igor E. 1 2020 Distribution of short subsequences of inversive congruential pseudorandom numbers modulo \(2^t\). Zbl 1439.11186Mérai, László; Shparlinski, Igor E. 1 2020 Value sets of sparse polynomials. Zbl 1453.11163Shparlinski, Igor E.; Voloch, José Felipe 1 2020 Level curves of rational functions and unimodular points on rational curves. Zbl 1455.11055Pakovich, Fedor; Shparlinski, Igor E. 1 2020 On smooth square-free numbers in arithmetic progressions. Zbl 1469.11375Munsch, Marc; Shparlinski, Igor E. 1 2020 Bounds of trilinear and trinomial exponential sums. Zbl 1452.11017Macourt, Simon; Petridis, Giorgis; Shkredov, Ilya D.; Shparlinski, Igor E. 1 2020 On sums of Kloosterman and Gauss sums. Zbl 1453.11105Shparlinski, Igor E. 9 2019 Reductions modulo primes of systems of polynomial equations and algebraic dynamical systems. Zbl 1403.37101D’Andrea, Carlos; Ostafe, Alina; Shparlinski, Igor E.; Sombra, Martín 8 2019 On a sum involving the Euler function. Zbl 1454.11009Bordellès, Olivier; Dai, Lixia; Heyman, Randell; Pan, Hao; Shparlinski, Igor E. 8 2019 Bounds of trilinear and quadrilinear exponential sums. Zbl 1454.11151Petridis, Giorgis; Shparlinski, Igor E. 4 2019 On multiplicative dependence of values of rational functions and a generalization of the Northcott theorem. Zbl 1442.11142Ostafe, Alina; Sha, Min; Shparlinski, Igor E.; Zannier, Umberto 4 2019 Cancellations between Kloosterman sums modulo a prime power with prime arguments. Zbl 1441.11192Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping 4 2019 On short products of primes in arithmetic progressions. Zbl 1456.11179Shparlinski, Igor E. 3 2019 On functional graphs of quadratic polynomials. Zbl 1417.05088Mans, Bernard; Sha, Min; Shparlinski, Igor E.; Sutantyo, Daniel 2 2019 Analogues of the Balog-Wooley decomposition for subsets of finite fields and character sums with convolutions. Zbl 1473.11033Roche-Newton, Oliver; Shparlinski, Igor E.; Winterhof, Arne 2 2019 Bounds on short character sums and \(L\)-functions with characters to a powerful modulus. Zbl 1460.11110Banks, William D.; Shparlinski, Igor E. 2 2019 Disjointness of the Möbius transformation and Möbius function. Zbl 1454.11147El Abdalaoui, El Houcein; Shparlinski, Igor E. 1 2019 Double sums of Kloosterman sums in finite fields. Zbl 1447.11117Macourt, Simon; Shparlinski, Igor E. 1 2019 On the typical size and cancellations among the coefficients of some modular forms. Zbl 1450.11100Luca, Florian; Radziwiłł, Maksym; Shparlinski, Igor E. 1 2019 Counting integers with a smooth totient. Zbl 1475.11177Banks, W. D.; Friedlander, J. B.; Pomerance, C.; Shparlinski, I. E. 1 2019 Divisor problem in arithmetic progressions modulo a prime power. Zbl 1436.11103Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping 10 2018 Multiplicative energy of shifted subgroups and bounds on exponential sums with trinomials in finite fields. Zbl 1448.11213Macourt, Simon; Shkredov, Ilya D.; Shparlinski, Igor E. 7 2018 Multiplicative orders in orbits of polynomials over finite fields. Zbl 1431.11130Shparlinski, Igor E. 5 2018 On multiplicatively dependent vectors of algebraic numbers. Zbl 1442.11134Pappalardi, Francesco; Sha, Min; Shparlinski, Igor E.; Stewart, Cameron L. 4 2018 Orbits of polynomial dynamical systems modulo primes. Zbl 1416.37081Chang, Mei-Chu; D’Andrea, Carlos; Ostafe, Alina; Shparlinski, Igor E.; Sombra, Martín 3 2018 Trilinear forms with double Kloosterman sums. Zbl 1447.11089Shparlinski, Igor E. 2 2018 On abelian multiplicatively dependent points on a curve in a torus. Zbl 1440.11101Ostafe, Alina; Sha, Min; Shparlinski, Igor E.; Zannier, Umberto 2 2018 Linear equations with rational fractions of bounded height and stochastic matrices. Zbl 1422.11069Shparlinski, Igor E. 2 2018 The Sato-Tate distribution in thin parametric families of elliptic curves. Zbl 1426.11057de la Bretèche, Régis; Sha, Min; Shparlinski, Igor E.; Voloch, José Felipe 2 2018 Polynomial interpolation and identity testing from high powers over finite fields. Zbl 1390.11128Ivanyos, Gábor; Karpinski, Marek; Santha, Miklos; Saxena, Nitin; Shparlinski, Igor E. 2 2018 Bilinear forms with exponential sums with binomials. Zbl 1429.11069Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping 2 2018 Elliptic curves in isogeny classes. Zbl 1444.11122Shparlinski, Igor E.; Zhao, Liangyi 2 2018 Connected components of the graph generated by power maps in prime finite fields. Zbl 1441.05108Pomerance, Carl; Shparlinksi, Igor E. 1 2018 Double character sums with intervals and arbitrary sets. Zbl 1459.11166Shkredov, Ilya D.; Shparlinski, Igor E. 1 2018 On the error term of a lattice counting problem. Zbl 1380.11085Bordellès, Olivier; Luca, Florian; Shparlinski, Igor E. 1 2018 Denominators of Bernoulli polynomials. Zbl 1415.11121Bordellès, Olivier; Luca, Florian; Moree, Pieter; Shparlinski, Igor E. 1 2018 Prescribing the binary digits of squarefree numbers and quadratic residues. Zbl 1431.11015Dietmann, Rainer; Elsholtz, Christian; Shparlinski, Igor E. 14 2017 Orbits of algebraic dynamical systems in subgroups and subfields. Zbl 1393.37113Ostafe, Alina; Shparlinski, Igor E. 7 2017 Squares in Piatetski-Shapiro sequences. Zbl 1428.11051Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping 5 2017 On some multiple character sums. Zbl 1427.11078Shkredov, Ilya D.; Shparlinski, Igor E. 3 2017 Double exponential sums with exponential functions. Zbl 1428.11143Shparlinski, Igor E.; Yau, Kam Hung 3 2017 On distances in lattices from algebraic number fields. Zbl 1433.11083Dubickas, Artūras; Sha, Min; Shparlinski, Igor E. 2 2017 Power series approximations to Fekete polynomials. Zbl 1427.11030Bell, Jason; Shparlinski, Igor E. 2 2017 The Sato-Tate distribution in families of elliptic curves with a rational parameter of bounded height. Zbl 1410.11054Sha, Min; Shparlinski, Igor E. 2 2017 On two functions arising in the study of the Euler and Carmichael quotients. Zbl 1425.11009Luca, Florian; Sha, Min; Shparlinski, Igor E. 1 2017 Cancellations amongst Kloosterman sums. Zbl 1368.11092Shparlinski, Igor E.; Zhang, Tianping 13 2016 Functional graphs of polynomials over finite fields. Zbl 1327.05323Konyagin, Sergei V.; Luca, Florian; Mans, Bernard; Mathieson, Luke; Sha, Min; Shparlinski, Igor E. 10 2016 Products of small integers in residue classes and additive properties of Fermat quotients. Zbl 1414.11109Harman, Glyn; Shparlinski, Igor E. 6 2016 Almost primes of the form \(\lfloor p^c \rfloor\). Zbl 1355.11099Banks, William D.; Guo, Victor Z.; Shparlinski, Igor E. 4 2016 Cyclotomic coefficients: gaps and jumps. Zbl 1405.11032Camburu, Oana-Maria; Ciolan, Emil-Alexandru; Luca, Florian; Moree, Pieter; Shparlinski, Igor E. 4 2016 On the additive energy of the distance set in finite fields. Zbl 1403.11078Shparlinski, Igor E. 4 2016 Bounds of double multiplicative character sums and gaps between residues of exponential functions. Zbl 1419.11004Shparlinski, Igor E.; Yau, Kam-hung 4 2016 Counting co-cyclic lattices. Zbl 1348.11056Nguyen, Phong Q.; Shparlinski, Igor E. 4 2016 Linear congruences with ratios. Zbl 1383.11041Shparlinski, Igor E. 3 2016 Groups generated by iterations of polynomials over finite fields. Zbl 1347.11084Shparlinski, Igor E. 3 2016 Upper and lower bounds for higher moments of theta functions. Zbl 1409.11034Munsch, Marc; Shparlinski, Igor E. 3 2016 Polynomial values in small subgroups of finite fields. Zbl 1407.11051Shparlinski, Igor E. 3 2016 Fractional parts of Dedekind sums. Zbl 1419.11072Banks, William D.; Shparlinski, Igor E. 2 2016 On small gaps between the elements of multiplicative subgroups of finite fields. Zbl 1367.11040Shparlinski, Igor E. 2 2016 Counting irreducible binomials over finite fields. Zbl 1371.11150Heyman, Randell; Shparlinski, Igor E. 1 2016 Dynamical systems of non-algebraic origin: fixed points and orbit lengths. Zbl 1420.37119Shparlinski, Igor E. 1 2016 On bilinear exponential and character sums with reciprocals of polynomials. Zbl 1400.11123Shparlinski, Igor E. 1 2016 Averaging operators over homogeneous varieties over finite fields. Zbl 1346.43002Koh, Doowon; Shen, Chun-Yen; Shparlinski, Igor 1 2016 Ratios of small integers in multiplicative subgroups of residue rings. Zbl 1403.11062Shparlinski, Igor E. 1 2016 Subgroups generated by rational functions in finite fields. Zbl 1395.11071Gómez-Pérez, Domingo; Shparlinski, Igor E. 5 2015 On the fixed points of the map \(x \mapsto x^x\) modulo a prime. Zbl 1393.11029Kurlberg, Pär; Luca, Florian; Shparlinski, Igor E. 5 2015 Character sums and deterministic polynomial root finding in finite fields. Zbl 1400.11153Bourgain, Jean; Konyagin, Sergei V.; Shparlinski, Igor E. 5 2015 Polynomial values in subfields and affine subspaces of finite fields. Zbl 1396.11016Roche-Newton, Oliver; Shparlinski, Igor E. 4 2015 Quadratic non-residues in short intervals. Zbl 1378.11012Konyagin, Sergei V.; Shparlinski, Igor E. 4 2015 Lang-Trotter and Sato-Tate distributions in single and double parametric families of elliptic curves. Zbl 1384.11033Sha, Min; Shparlinski, Igor E. 4 2015 Congruences with intervals and subgroups modulo a prime. Zbl 1379.11004Munsch, Marc; Shparlinski, Igor E. 3 2015 Explicit form of Cassels’ \(p\)-adic embedding theorem for number fields. Zbl 1326.11062Dubickas, Arturas; Sha, Min; Shparlinski, Igor 2 2015 Cayley graphs generated by small degree polynomials over finite fields. Zbl 1311.05083Shparlinski, Igor E. 2 2015 On the distribution of Atkin and Elkies primes for reductions of elliptic curves on average. Zbl 1400.11164Shparlinski, Igor E.; Sutherland, Andrew V. 2 2015 Counting additive decompositions of quadratic residues in finite fields. Zbl 1393.11006Blackburn, Simon R.; Konyagin, Sergei V.; Shparlinski, Igor E. 1 2015 On the product of small Elkies primes. Zbl 1317.11061Shparlinski, Igor E. 1 2015 Distribution of polynomial discriminants modulo a prime. Zbl 1364.11153Shparlinski, Igor E. 1 2015 Close values of shifted modular inversions and the decisional modular inversion hidden number problem. Zbl 1369.11100Shparlinski, Igor E. 1 2015 Multiplicative congruences with variables from short intervals. Zbl 1385.11002Bourgain, Jean; Garaev, Moubariz Z.; Konyagin, Sergei V.; Shparlinski, Igor E. 11 2014 Points on curves in small boxes and applications. Zbl 1316.11024Chang, Mei-Chu; Cilleruelo, Javier; Garaev, Moubariz Z.; Hernández, José; Shparlinski, Igor E.; Zumalacárregui, Ana 10 2014 On irreducible divisors of iterated polynomials. Zbl 1339.11099Gómez-Pérez, Domingo; Ostafe, Alina; Shparlinski, Igor E. 6 2014 On the distribution of Atkin and Elkies primes. Zbl 1312.11048Shparlinski, Igor E.; Sutherland, Andrew V. 5 2014 Elements of large order on varieties over prime finite fields. Zbl 1366.11084Chang, Mei-Chu; Kerr, Bryce; Shparlinski, Igor E.; Zannier, Umberto 5 2014 Double character sums over subgroups and intervals. Zbl 1316.11076Chang, Mei-Chu; Shparlinski, Igor E. 5 2014 ...and 442 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,466 Authors 290 Shparlinski, Igor E. 68 Luca, Florian 55 Winterhof, Arne 28 Ostafe, Alina 26 Garaev, Moubariz Z. 23 Banks, William D. 21 Shkredov, Il’ya Dmitrievich 19 Sha, Min 18 Chen, Zhixiong 16 Chang, Mei-Chu 16 Mérai, László 16 von zur Gathen, Joachim 15 Bourgain, Jean 15 Gomez-Perez, Domingo 15 Konyagin, Sergeĭ Vladimirovich 14 Cilleruelo, Javier 14 Niederreiter, Harald 13 Ballet, Stéphane 13 Koh, Doowon 13 Korolëv, Maksim Aleksandrovich 13 Meidl, Wilfried 13 Vinh, Le Anh 12 Ahmadi, Omran 12 Panario, Daniel 11 Bell, Jason P. 11 Dubickas, Artūras 11 Sanna, Carlo 10 Bašić, Milan 10 Gutierrez, Jaime 10 Kerr, Bryce 9 Farashahi, Reza Rezaeian 9 Ford, Kevin B. 9 Friedlander, John Benjamin 9 Munsch, Marc 9 Zaharescu, Alexandru 9 Zhang, Wenpeng 8 Cochrane, Todd 8 Gómez, Domingo 8 Pham Van Thang 8 Pollack, Paul 8 Zhang, Tianping 7 Ilić, Aleksandar 7 Macourt, Simon 7 Moree, Pieter 7 Voloch, José Felipe 7 Yau, Kam-hung 6 Baier, Stephan 6 Blake, Ian F. 6 Cojocaru, Alina Carmen 6 Dartyge, Cécile 6 Du, Xiaoni 6 Galbraith, Steven D. 6 Gao, Shuhong 6 García, Victor Cuauhtemoc 6 Karpinski, Marek 6 Lv, Xingxing 6 Micheli, Giacomo 6 Murty, Maruti Ram 6 Pappalardi, Francesco 6 Reis, Lucas 6 Sander, Jürgen W. 6 Shen, Chun-Yen 6 Shteĭnikov, Yuriĭ Nikolaevich 6 Tibouchi, Mehdi 6 Topuzoǧlu, Alev 6 Wan, Daqing 5 Aly, Hassan Y. 5 Cao, Xiwang 5 Cheng, Qi 5 Cohen, Stephen D. 5 El-Mahassni, Edwin D. 5 Harvey, David I. 5 Ibeas, Álvar 5 Jones, Rafe 5 Lange, Tanja 5 Mauduit, Christian 5 Mefenza, Thierry 5 Mkaouar, Mohamed 5 Petridis, Giorgis 5 Pieltant, Julia 5 Pomerance, Carl Bernard 5 Sárközy, András 5 Shani, Barak 5 Silverman, Joseph Hillel 5 Vergnaud, Damien 5 Ward, Thomas B. 5 Wu, Chenhuang 5 Yi, Yuan 5 Zumalacárregui, Ana 4 Blackburn, Simon R. 4 Chen, Changhao 4 Chen, Yonggao 4 Cusick, Thomas W. 4 Dietmann, Rainer 4 Elsholtz, Christian 4 Erdélyi, Tamás 4 Garton, Derek 4 Goryashin, Dmitriĭ Viktorovich 4 Grau, José María 4 Grigor’ev, Dmitriĭ Yur’evich ...and 1,366 more Authors all top 5 Cited in 231 Serials 124 Journal of Number Theory 93 Finite Fields and their Applications 52 Designs, Codes and Cryptography 50 International Journal of Number Theory 47 Mathematics of Computation 46 Proceedings of the American Mathematical Society 42 Bulletin of the Australian Mathematical Society 30 Linear Algebra and its Applications 29 Monatshefte für Mathematik 29 Journal of Symbolic Computation 28 Acta Arithmetica 27 Information Processing Letters 25 Mathematical Notes 23 Applicable Algebra in Engineering, Communication and Computing 20 Discrete Applied Mathematics 19 Theoretical Computer Science 18 Transactions of the American Mathematical Society 18 Journal of Complexity 18 Indagationes Mathematicae. New Series 17 Periodica Mathematica Hungarica 17 Proceedings of the Steklov Institute of Mathematics 16 The Ramanujan Journal 15 Israel Journal of Mathematics 15 Mathematika 15 Journal de Théorie des Nombres de Bordeaux 14 Journal of Mathematical Cryptology 13 Journal of Algebra 13 Experimental Mathematics 13 Integers 13 Cryptography and Communications 12 Archiv der Mathematik 12 Functiones et Approximatio. Commentarii Mathematici 12 Mathematische Zeitschrift 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Advances in Mathematics of Communications 9 Discrete Mathematics 9 Linear and Multilinear Algebra 9 Chebyshevskiĭ Sbornik 9 Journal of Mathematics 8 Rocky Mountain Journal of Mathematics 8 Canadian Mathematical Bulletin 8 Acta Mathematica Hungarica 8 Revista Matemática Iberoamericana 8 Acta Mathematica Sinica. English Series 8 Matematicheskie Voprosy Kriptografii 7 Journal d’Analyse Mathématique 7 Advances in Mathematics 7 Glasgow Mathematical Journal 7 Michigan Mathematical Journal 7 SIAM Journal on Discrete Mathematics 7 Forum Mathematicum 7 Journal of the Australian Mathematical Society 7 Research in Number Theory 6 Applied Mathematics and Computation 6 Mathematische Annalen 6 Applied Mathematics Letters 6 Journal of Mathematical Sciences (New York) 6 Science China. Mathematics 5 Indian Journal of Pure & Applied Mathematics 5 Journal of Mathematical Analysis and Applications 5 Journal of Mathematical Physics 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Inventiones Mathematicae 5 European Journal of Combinatorics 5 Algorithmica 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Computational Complexity 5 The Electronic Journal of Combinatorics 5 Wuhan University Journal of Natural Sciences (WUJNS) 5 LMS Journal of Computation and Mathematics 5 Quantum Information Processing 4 Lithuanian Mathematical Journal 4 Duke Mathematical Journal 4 Journal of Combinatorial Theory. Series A 4 Journal of Pure and Applied Algebra 4 Quaestiones Mathematicae 4 Journal of Cryptology 4 Journal of Inequalities and Applications 4 Annals of Combinatorics 4 Journal of Discrete Mathematical Sciences & Cryptography 4 Forum of Mathematics, Sigma 4 Research in the Mathematical Sciences 3 Computers & Mathematics with Applications 3 Czechoslovak Mathematical Journal 3 Information Sciences 3 Journal of Computer and System Sciences 3 Journal of Functional Analysis 3 Manuscripta Mathematica 3 Pacific Journal of Mathematics 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 The New York Journal of Mathematics 3 The Journal of Fourier Analysis and Applications 3 Taiwanese Journal of Mathematics 3 Journal of the European Mathematical Society (JEMS) 3 Journal of Systems Science and Complexity 3 International Journal of Quantum Information 3 Science China. Information Sciences 3 AIMS Mathematics 2 Moscow University Mathematics Bulletin 2 Problems of Information Transmission ...and 131 more Serials all top 5 Cited in 45 Fields 1,202 Number theory (11-XX) 256 Information and communication theory, circuits (94-XX) 166 Combinatorics (05-XX) 137 Computer science (68-XX) 117 Algebraic geometry (14-XX) 68 Dynamical systems and ergodic theory (37-XX) 56 Numerical analysis (65-XX) 51 Field theory and polynomials (12-XX) 46 Group theory and generalizations (20-XX) 38 Linear and multilinear algebra; matrix theory (15-XX) 31 Quantum theory (81-XX) 30 Commutative algebra (13-XX) 17 Probability theory and stochastic processes (60-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 12 Convex and discrete geometry (52-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 9 Functions of a complex variable (30-XX) 9 Functional analysis (46-XX) 8 Mathematical logic and foundations (03-XX) 6 Associative rings and algebras (16-XX) 6 Real functions (26-XX) 6 Special functions (33-XX) 5 Topological groups, Lie groups (22-XX) 5 Approximations and expansions (41-XX) 5 Abstract harmonic analysis (43-XX) 5 Geometry (51-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Biology and other natural sciences (92-XX) 3 History and biography (01-XX) 3 Nonassociative rings and algebras (17-XX) 3 Measure and integration (28-XX) 3 Operator theory (47-XX) 3 Operations research, mathematical programming (90-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Difference and functional equations (39-XX) 2 Algebraic topology (55-XX) 2 Statistics (62-XX) 1 Category theory; homological algebra (18-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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