Edit Profile (opens in new tab) Shparlinski, Igor E. Co-Author Distance 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. more...less Further Spellings: Шпарлинский Игорь Евгеньевич Homepage: https://web.maths.unsw.edu.au/~igorshparlinski/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · MathOverflow · Math-Net.Ru · dblp · GND · IdRef Videos: carmin.tv Documents Indexed: 780 Publications since 1978, including 7 Books and 31 Additional arXiv Preprints 9 Contributions as Editor · 1 Further Contribution Co-Authors: 271 Co-Authors with 581 Joint Publications 7,497 Co-Co-Authors all top 5 Co-Authors 207 single-authored 77 Luca, Florian 65 Banks, William David 44 Ostafe, Alina 29 Friedlander, John Benjamin 25 Garaev, Moubariz Z. 25 von zur Gathen, Joachim 25 Winterhof, Arne 24 Konyagin, Sergeĭ Vladimirovich 16 Sha, Min 15 Kerr, Bryce 14 Pomerance, Carl Bernard 14 Voloch, José Felipe 13 Niederreiter, Harald 12 Chen, Changhao 11 Mérai, László 10 Bourgain, Jean 10 Gomez-Perez, Domingo 9 Ahmadi, Omran 9 Gutierrez, Jaime 9 Pappalardi, Francesco 9 Stepanov, Sergei Alexandrovich 8 Karpinski, Marek 8 Lieman, Daniel B. 8 Mans, Bernard 8 Nguyen, Phong Q. 8 Shkredov, Il’ya Dmitrievich 7 Blackburn, Simon R. 7 Cilleruelo, Javier 7 El-Mahassni, Edwin D. 7 Munsch, Marc 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 Fraser 5 Fouvry, Etienne 5 Heyman, Randell 5 Lange, Tanja 5 Liu, Kui 5 Mullen, Gary L. 5 Panario, Daniel 5 Steinfeld, Ron 5 Sutantyo, Daniel 5 Zaharescu, Alexandru 4 Baker, Roger C. 4 Conflitti, Alessandro 4 Damm, Carsten 4 Dietmann, Rainer 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 Kurlberg, Pär 4 Näslund, Mats 4 Yau, Kam-hung 4 Zannier, Umberto M. 3 Bordellès, Olivier 3 Broughan, Kevin A. 3 Cohen, Stephen D. 3 Cojocaru, Alina Carmen 3 Dubickas, Artūras 3 Elsholtz, Christian 3 Ghioca, Dragos 3 Macourt, Simon 3 Menezes, Alfred J. 3 Moree, Pieter 3 Murty, Maruti Ram 3 Romanovtsev, V. V. 3 Silverman, Joseph Hillel 3 Stewart, Cameron L. 3 Stichtenoth, Henning 3 Sutherland, Andrew V. 3 Vyugin, Ilya V. 3 Wang, Huaxiong 3 Zumalacárregui, Ana 2 Allender, Eric W. 2 Bag, Nilanjan 2 Balog, Antal 2 Bérczes, Attila 2 Brandes, Julia 2 Bulinski, Kamil 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 Galiev, V. I. 2 Harcharras, Asma 2 Harman, Glyn 2 Heath-Brown, Roger 2 Howgrave-Graham, Nick A. 2 Larsen, Michael Jeffrey 2 Lenstra, Arjen K. ...and 238 more Co-Authors all top 5 Serials 34 Journal of Number Theory 27 Bulletin of the Australian Mathematical Society 25 Proceedings of the American Mathematical Society 24 Finite Fields and their Applications 22 Mathematics of Computation 21 Acta Arithmetica 15 The Quarterly Journal of Mathematics 14 Designs, Codes and Cryptography 12 Archiv der Mathematik 12 Canadian Mathematical Bulletin 12 Mathematika 12 SIAM Journal on Discrete Mathematics 11 Michigan Mathematical Journal 11 IMRN. International Mathematics Research Notices 11 Indagationes Mathematicae. New Series 11 Applicable Algebra in Engineering, Communication and Computing 11 International Journal of Number Theory 10 Information Processing Letters 9 Periodica Mathematica Hungarica 9 Bulletin of the London Mathematical Society 9 Glasgow Mathematical Journal 9 Monatshefte für Mathematik 8 Mathematical Notes 8 Transactions of the American Mathematical Society 8 Experimental Mathematics 7 IEEE Transactions on Information Theory 7 Canadian Journal of Mathematics 7 Journal of the London Mathematical Society. Second Series 7 Mathematische Zeitschrift 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 Journal of Complexity 6 Computational Complexity 6 Mathematical Research Letters 6 Uniform Distribution Theory 5 Rocky Mountain Journal of Mathematics 5 Russian Mathematical Surveys 5 Revista Matemática Iberoamericana 5 Journal de Théorie des Nombres de Bordeaux 4 Journal d’Analyse Mathématique 4 Mathematical Proceedings of the Cambridge Philosophical Society 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 Israel Journal of Mathematics 3 Journal of Mathematical Analysis and Applications 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 Mathematische Nachrichten 3 Algorithmica 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 Acta Scientiarum Mathematicarum 2 Czechoslovak Mathematical Journal 2 Kodai Mathematical Journal 2 Manuscripta Mathematica 2 Pacific Journal of Mathematics 2 Publicationes Mathematicae Debrecen 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 2 Research in Number Theory 1 Discrete Applied Mathematics 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Journal of Mathematical Physics 1 Arkiv för Matematik 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales des Sciences Mathématiques du Québec 1 The Australian Mathematical Society Gazette ...and 53 more Serials all top 5 Fields 707 Number theory (11-XX) 138 Information and communication theory, circuits (94-XX) 77 Computer science (68-XX) 55 Algebraic geometry (14-XX) 42 Numerical analysis (65-XX) 32 Dynamical systems and ergodic theory (37-XX) 30 Combinatorics (05-XX) 13 Field theory and polynomials (12-XX) 10 General and overarching topics; collections (00-XX) 8 Commutative algebra (13-XX) 8 Quantum theory (81-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 5 Convex and discrete geometry (52-XX) 4 Operator theory (47-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Partial differential equations (35-XX) 2 Group theory and generalizations (20-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-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 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 620 Publications have been cited 4,225 times in 2,145 Documents Cited by ▼ Year ▼ Handbook of finite fields. Zbl 1319.11001 239 2013 Recurrence sequences. Zbl 1033.11006 Everest, Graham; van der Poorten, Alf; Shparlinski, Igor; Ward, Thomas 198 2003 Character sums with exponential functions and their applications. Zbl 0933.11001 Konyagin, S. V.; Shparlinski, I. E. 87 1999 Parameters of integral circulant graphs and periodic quantum dynamics. Zbl 1119.81042 Saxena, Nitin; Severini, Simone; Shparlinski, Igor E. 53 2007 Graphs with integral spectrum. Zbl 1178.05060 Ahmadi, Omran; Alon, Noga; Blake, Ian F.; Shparlinski, Igor E. 49 2009 On the hidden shifted power problem. Zbl 1311.11111 Bourgain, Jean; Garaev, Moubariz Z.; Konyagin, Sergei V.; Shparlinski, Igor E. 38 2012 The insecurity of the digital signature algorithm with partially known nonces. Zbl 1009.94011 Nguyen, Phong Q.; Shparlinski, Igor E. 35 2002 Cryptographic applications of analytic number theory. Complexity lower bounds and pseudorandomness. Zbl 1036.94001 Shparlinski, I. 34 2003 Finite fields: theory and computation. The meeting point of number theory, computer science, coding theory and cryptography. Zbl 0967.11052 Shparlinski, I. E. 33 1999 The insecurity of the elliptic curve digital signature algorithm with partially known nonces. Zbl 1039.94008 Nguyen, Phong Q.; Shparlinski, Igor E. 33 2003 Curves with many points and multiplication in finite fields. Zbl 0805.14028 Shparlinski, Igor E.; Tsfasman, Michael A.; Vladut, Serge G. 32 1992 Pseudorandomness and dynamics of Fermat quotients. Zbl 1263.11003 Ostafe, Alina; Shparlinski, Igor E. 31 2011 Modular hyperbolas. Zbl 1272.11050 Shparlinski, Igor E. 31 2012 Computational and algorithmic problems in finite fields. Zbl 0780.11064 Shparlinski, Igor E. 29 1992 On a sum involving the Euler function. Zbl 1454.11009 Bordellès, Olivier; Dai, Lixia; Heyman, Randell; Pan, Hao; Shparlinski, Igor E. 28 2019 On the concentration of points of polynomial maps and applications. Zbl 1285.11027 Cilleruelo, Javier; Garaev, Moubariz Z.; Ostafe, Alina; Shparlinski, Igor E. 28 2012 On the cycle structure of repeated exponentiation modulo a prime. Zbl 1060.11059 Chou, Wun-Seng; Shparlinski, Igor E. 28 2004 On the statistical properties of Diffie-Hellman distributions. Zbl 0997.11066 Canetti, Ran; Friedlander, John; Konyagin, Sergei; Larsen, Michael; Lieman, Daniel; Shparlinski, Igor 27 2000 Prime numbers with Beatty sequences. Zbl 1167.11010 Banks, William D.; Shparlinski, Igor E. 27 2009 On polynomial approximation of the discrete logarithm and the Diffie-Hellman mapping. Zbl 1038.94007 Coppersmith, Don; Shparlinski, Igor 26 2000 Character sums over integers with restricted \(g\)-ary digits. Zbl 1026.11068 Banks, William D.; Conflitti, Alessandro; Shparlinski, Igor E. 25 2002 On exponential sums and group generators for elliptic curves over finite fields. Zbl 1032.11034 Kohel, David R.; Shparlinski, Igor E. 25 2000 On the divisibility of Fermat quotients. Zbl 1223.11116 Bourgain, Jean; Ford, Kevin; Konyagin, Sergei V.; Shparlinski, Igor E. 25 2010 Product sets of rationals, multiplicative translates of subgroups in residue rings, and fixed points of the discrete logarithm. Zbl 1232.11003 Bourgain, Jean; Konyagin, Sergei V.; Shparlinski, Igor E. 25 2008 Cancellations amongst Kloosterman sums. Zbl 1368.11092 Shparlinski, Igor E.; Zhang, Tianping 24 2016 On a ternary quadratic form over primes. Zbl 1243.11093 Fouvry, Étienne; Shparlinski, Igor E. 24 2011 On the distribution of inversive congruential pseudorandom numbers in parts of the period. Zbl 0983.11048 Niederreiter, Harald; Shparlinski, Igor E. 24 2001 Period of the power generator and small values of Carmichael’s function. Zbl 1029.11043 Friedlander, John B.; Pomerance, Carl; Shparlinski, Igor E. 24 2002 Piatetski-Shapiro sequences. Zbl 1327.11062 Baker, Roger C.; Banks, William D.; Brüdern, Jörg; Shparlinski, Igor E.; Weingartner, Andreas J. 23 2013 Sato-Tate, cyclicity, and divisibility statistics on average for elliptic curves of small height. Zbl 1250.11064 Banks, William D.; Shparlinski, Igor E. 23 2009 Recent advances in the theory of nonlinear pseudorandom number generators. Zbl 1076.65008 Niederreiter, Harald; Shparlinski, Igor E. 22 2002 On congruences with products of variables from short intervals and applications. Zbl 1301.11041 Bourgain, Jean; Garaev, Moubariz Z.; Konyagin, Sergei V.; Shparlinski, Igor E. 22 2013 Character sums with exponential functions. Zbl 1017.11045 Friedlander, John B.; Hansen, Jan; Shparlinski, Igor E. 21 2000 On the linear complexity and multidimensional distribution of congruential generators over elliptic curves. Zbl 1116.14307 Hess, Florian; Shparlinski, Igor E. 21 2005 Certain exponential sums and random walks on elliptic curves. Zbl 1068.11078 Lange, Tanja; Shparlinski, Igor E. 21 2005 Prescribing the binary digits of squarefree numbers and quadratic residues. Zbl 1431.11015 Dietmann, Rainer; Elsholtz, Christian; Shparlinski, Igor E. 21 2017 Arithmetic properties of numbers with restricted digits. Zbl 1049.11003 Banks, William D.; Shparlinski, Igor E. 20 2004 On the distribution and lattice structure of nonlinear congruential pseudorandom numbers. Zbl 0942.11037 Niederreiter, Harald; Shparlinski, Igor E. 20 1999 On approximately symmetric informationally complete positive operator-valued measures and related systems of quantum states. Zbl 1110.81028 Klappenecker, Andreas; Rötteler, Martin; Shparlinski, Igor E.; Winterhof, Arne 20 2005 Character sums with Fermat quotients. Zbl 1273.11126 Shparlinski, Igor E. 19 2011 On the Naor-Reingold pseudo-random function from elliptic curves. Zbl 1011.11055 Shparlinski, Igor E. 19 2000 Predicting nonlinear pseudorandom number generators. Zbl 1136.11316 Blackburn, Simon R.; Gomez-Perez, Domingo; Gutierrez, Jaime; Shparlinski, Igor E. 19 2005 On the energy of some circulant graphs. Zbl 1083.05029 Shparlinski, Igor 19 2006 Indifferentiable deterministic hashing to elliptic and hyperelliptic curves. Zbl 1312.94048 Farashahi, Reza R.; Fouque, Pierre-Alain; Shparlinski, Igor E.; Tibouchi, Mehdi; Voloch, J. Felipe 19 2013 On sums of Kloosterman and Gauss sums. Zbl 1453.11105 Shparlinski, Igor E. 18 2019 Fermat quotients: exponential sums, value set and primitive roots. Zbl 1250.11005 Shparlinski, Igor E. 18 2011 Bounds of multiplicative character sums with Fermat quotients of primes. Zbl 1221.11004 Shparlinski, Igor E. 18 2011 On finding primitive roots in finite fields. Zbl 0871.11091 Shparlinski, Igor 18 1996 Orders of Gauss periods in finite fields. Zbl 0931.11057 von zur Gathen, Joachim; Shparlinski, Igor 18 1998 Points on curves in small boxes and applications. Zbl 1316.11024 Chang, Mei-Chu; Cilleruelo, Javier; Garaev, Moubariz Z.; Hernández, José; Shparlinski, Igor E.; Zumalacárregui, Ana 18 2014 Arithmetic functions on Beatty sequences. Zbl 1227.11045 Abercrombie, Alex G.; Banks, William D.; Shparlinski, Igor E. 18 2009 On numbers \(n\) dividing the \(n\)th term of a linear recurrence. Zbl 1262.11015 Alba González, Juan José; Luca, Florian; Pomerance, Carl; Shparlinski, Igor E. 17 2012 On the distribution of the power generator. Zbl 1029.11042 Friedlander, John B.; Shparlinski, Igor E. 17 2001 Divisor problem in arithmetic progressions modulo a prime power. Zbl 1436.11103 Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping 17 2018 Short character sums with Beatty sequences. Zbl 1220.11097 Banks, William D.; Shparlinski, Igor E. 17 2006 Exponential sums and rational points on complete intersections. Zbl 0719.11086 Shparlinskij, Igor E.; Skorobogatov, Alexej N. 16 1990 On the linear and nonlinear complexity profile of nonlinear pseudorandom number generators. Zbl 1063.65005 Gutierrez, Jaime; Shparlinski, Igor E.; Winterhof, Arne 16 2003 On the distribution of rational functions along a curve over \(\mathbb F_p\) and residue races. Zbl 1068.11043 Granville, Andrew; Shparlinski, Igor E.; Zaharescu, Alexandru 16 2005 Density of non-residues in Burgess-type intervals and applications. Zbl 1229.11006 Banks, W. D.; Garaev, M. Z.; Heath-Brown, D. R.; Shparlinski, I. E. 16 2008 Functional graphs of polynomials over finite fields. Zbl 1327.05323 Konyagin, Sergei V.; Luca, Florian; Mans, Bernard; Mathieson, Luke; Sha, Min; Shparlinski, Igor E. 16 2016 Additive decompositions of subgroups of finite fields. Zbl 1287.11120 Shparlinski, Igor E. 16 2013 Multiplicative congruences with variables from short intervals. Zbl 1385.11002 Bourgain, Jean; Garaev, Moubariz Z.; Konyagin, Sergei V.; Shparlinski, Igor E. 16 2014 On the value set of Fermat quotients. Zbl 1305.11003 Shparlinski, Igor E. 15 2012 Character sums and congruences with \(n!\). Zbl 1060.11046 Garaev, Moubariz Z.; Luca, Florian; Shparlinski, Igor E. 15 2004 Predicting the inversive generator. Zbl 1123.94330 Blackburn, Simon R.; Gomez-Perez, Domingo; Gutierrez, Jaime; Shparlinski, Igor E. 15 2003 Dynamical systems generated by rational functions. Zbl 1030.11072 Niederreiter, Harald; Shparlinski, Igor E. 15 2003 On the security of Diffie-Hellman bits. Zbl 0997.94548 González Vasco, Maria Isabel; Shparlinski, Igor E. 14 2001 On the linear complexity of the Naor-Reingold pseudo-random function from elliptic curves. Zbl 1077.11504 Shparlinski, Igor E.; Silverman, Joseph H. 14 2001 Counting curves and their projections. Zbl 0990.68642 von zur Gathen, Joachim; Karpinski, Marek; Shparlinski, Igor 14 1997 On the distribution of pseudorandom numbers and vectors generated by inversive methods. Zbl 0999.11040 Niederreiter, Harald; Shparlinski, Igor E. 14 2000 On the unpredictability of bits of the elliptic curve Diffie-Hellman scheme. Zbl 1002.94025 Boneh, Dan; Shparlinski, Igor E. 14 2001 On the average value of divisor sums in arithmetic progressions. Zbl 1071.11055 Banks, William D.; Heath-Brown, Roger; Shparlinski, Igor E. 14 2005 On a generalisation of a Lehmer problem. Zbl 1269.11068 Shparlinski, Igor E. 14 2009 On the distribution of points on multidimensional modular hyperbolas. Zbl 1123.11026 Shparlinski, Igor E. 14 2007 Non-residues and primitive roots in Beatty sequences. Zbl 1144.11064 Banks, William D.; Shparlinski, Igor E. 14 2006 On the solvability of bilinear equations in finite fields. Zbl 1246.11183 Shparlinski, Igor E. 14 2008 Distribution of modular inverses and multiples of small integers and the Sato-Tate conjecture on average. Zbl 1225.11101 Shparlinski, Igor E. 14 2008 Distribution of some sequences of points on elliptic curves. Zbl 1129.14040 Lange, Tanja; Shparlinski, Igor E. 14 2007 On Gaussian sums for finite fields and elliptic curves. Zbl 0846.11064 Shparlinski, I. E. 13 1992 On group structures realized by elliptic curves over arbitrary finite fields. Zbl 1257.11060 Banks, William D.; Pappalardi, Francesco; Shparlinski, Igor E. 13 2012 On the uniformity of distribution of congruential generators over elliptic curves. Zbl 1043.94536 El Mahassni, Edwin; Shparlinski, Igor 13 2002 Exponential sums over Mersenne numbers. Zbl 1060.11045 Banks, William D.; Conflitti, Alessandro; Friedlander, John B.; Shparlinski, Igor E. 13 2004 Distribution of matrices with restricted entries over finite fields. Zbl 1181.11030 Ahmadi, Omran; Shparlinski, Igor E. 13 2007 On the average energy of circulant graphs. Zbl 1135.05036 Blackburn, Simon R.; Shparlinski, Igor E. 13 2008 Prime divisors in Beatty sequences. Zbl 1198.11083 Banks, William D.; Shparlinski, Igor E. 13 2007 Multiplicative order of Gauss periods. Zbl 1201.11110 Ahmadi, Omran; Shparlinski, Igor E.; Voloch, José Felipe 13 2010 On the lower bound of the linear complexity over \(\mathbb F_p\) of Sidelnikov sequences. Zbl 1296.94073 Garaev, Moubariz Z.; Luca, Florian; Shparlinski, Igor; Winterhof, Arne 13 2006 On the number of sign changes of Hecke eigenvalues of newforms. Zbl 1241.11053 Kohnen, Winfried; Lau, Yuk-Kam; Shparlinski, Igor E. 13 2008 On the consecutive powers of a primitive root: gaps and exponential sums. Zbl 1276.11005 Konyagin, Sergei V.; Shparlinski, Igor E. 12 2012 On the spectral Ádám property for circulant graphs. Zbl 1035.05059 Mans, Bernard; Pappalardi, Francesco; Shparlinski, Igor 12 2002 On the maximal difference between an element and its inverse modulo \(n\). Zbl 1047.11003 Khan, M. R.; Shparlinski, I. E. 12 2003 On the maximal difference between an element and its inverse in residue rings. Zbl 1131.11005 Ford, Kevin; Khan, Mizan R.; Shparlinski, Igor E.; Yankov, Christian L. 12 2005 Some doubly exponential sums over \({\mathbb Z}_m\). Zbl 1018.11041 Friedlander, John B.; Konyagin, Sergei; Shparlinski, Igor E. 12 2002 Products in residue classes. Zbl 1182.11046 Friedlander, John B.; Kurlberg, Pär; Shparlinski, Igor E. 12 2008 On the degree growth in some polynomial dynamical systems and nonlinear pseudorandom number generators. Zbl 1227.11093 Ostafe, Alina; Shparlinski, Igor E. 12 2010 On the concentration of points on modular hyperbolas and exponential curves. Zbl 1198.11002 Chan, Tsz Ho; Shparlinski, Igor E. 12 2010 Pseudorandom number generators from elliptic curves. Zbl 1246.11135 Shparlinski, Igor E. 12 2009 On multiplicative dependence of values of rational functions and a generalization of the Northcott theorem. Zbl 1442.11142 Ostafe, Alina; Sha, Min; Shparlinski, Igor E.; Zannier, Umberto 11 2019 Multiplicative energy of shifted subgroups and bounds on exponential sums with trinomials in finite fields. Zbl 1448.11213 Macourt, Simon; Shkredov, Ilya D.; Shparlinski, Igor E. 11 2018 On the number of various prime divisors of recurrence sequence. Zbl 0635.10006 Shparlinskiĭ, I. E. 11 1987 Bounds on the norms of maximal operators on Weyl sums. Zbl 07794615 Baker, Roger C.; Chen, Changhao; Shparlinski, Igor E. 3 2024 Character sums over elements of extensions of finite fields with restricted coordinates. Zbl 1541.11068 Iyer, Siddharth; Shparlinski, Igor E. 2 2024 Chowla and Sarnak conjectures for Kloosterman sums. Zbl 07794284 El Abdalaoui, Houcein; Shparlinski, Igor E.; Steiner, Raphael S. 1 2024 On the distribution of modular square roots of primes. Zbl 07807524 Shkredov, Ilya D.; Shparlinski, Igor E.; Zaharescu, Alexandru 1 2024 Weyl sums over integers with digital restrictions. Zbl 1540.11110 Shparlinski, Igor E.; Thuswaldner, Jörg M. 1 2024 Additive energy of polynomial images. Zbl 07889713 Kerr, Bryce; Mohammadi, Ali; Shparlinski, Igor E. 1 2024 Metric theory of Weyl sums. Zbl 1520.11075 Chen, Changhao; Kerr, Bryce; Maynard, James; Shparlinski, Igor E. 5 2023 Bounds on bilinear forms with Kloosterman sums. Zbl 1532.11113 Kerr, Bryce; Shparlinski, Igor E.; Wu, Xiaosheng; Xi, Ping 4 2023 On oracle factoring of integers. Zbl 1520.11055 Dąbrowski, Andrzej; Pomykała, Jacek; Shparlinski, Igor E. 4 2023 Bounds on bilinear sums of Kloosterman sums. Zbl 1506.11108 Bag, Nilanjan; Shparlinski, Igor E. 3 2023 Equations and character sums with matrix powers, Kloosterman sums over small subgroups, and quantum ergodicity. Zbl 1537.81028 Ostafe, Alina; Shparlinski, Igor E.; Voloch, José Felipe 2 2023 On the distribution of multiplicatively dependent vectors. Zbl 1540.11105 Konyagin, Sergei V.; Sha, Min; Shparlinski, Igor E.; Stewart, Cameron L. 2 2023 On character sums with determinants. Zbl 1542.11071 Fouvry, Étienne; Shparlinski, Igor E. 1 2023 On the distribution of modular inverses from short intervals. Zbl 1539.11101 Garaev, Moubariz Z.; Shparlinski, Igor E. 1 2023 Two-dimensional Weyl sums failing square-root cancellation along lines. Zbl 1545.11073 Brandes, Julia; Shparlinski, Igor E. 1 2023 Hybrid bounds on two-parametric families of Weyl sums along smooth curves. Zbl 1515.11079 Chen, Changhao; Shparlinski, Igor E. 1 2023 On the Glasner property for matrices with polynomial entries. Zbl 1518.11054 Shparlinski, Igor E. 1 2023 Functional graphs of families of quadratic polynomials. Zbl 1529.11122 Mans, Bernard; Sha, Min; Shparlinski, Igor E.; Sutantyo, Daniel 1 2023 On the number of Diophantine \(m\)-tuples in finite fields. Zbl 1522.11017 Shparlinski, Igor E. 1 2023 Additive energy and a large sieve inequality for sparse sequences. Zbl 1548.11111 Baker, Roger C.; Munsch, Marc; Shparlinski, Igor E. 6 2022 Bilinear forms with modular square roots and twisted second moments of half integral weight Dirichlet series. Zbl 1516.11039 Shkredov, Ilya D.; Shparlinski, Igor E.; Zaharescu, Alexandru 5 2022 Large Weyl sums and Hausdorff dimension. Zbl 1489.11115 Baker, Roger C.; Chen, Changhao; Shparlinski, Igor E. 3 2022 On the Skolem problem and some related questions for parametric families of linear recurrence sequences. Zbl 1498.11046 Ostafe, Alina; Shparlinski, Igor E. 2 2022 Energy bounds, bilinear forms and their applications in function fields. Zbl 1511.11099 Bagshaw, Christian; Shparlinski, Igor E. 2 2022 On digits of Mersenne numbers. Zbl 1531.11013 Kerr, Bryce; Mérai, László; Shparlinski, Igor E. 2 2022 Order of torsion for reduction of linearly independent points for a family of Drinfeld modules. Zbl 1496.11087 Ghioca, Dragos; Shparlinski, Igor E. 1 2022 On sparsity of representations of polynomials as linear combinations of exponential functions. Zbl 1547.11092 Ghioca, Dragos; Ostafe, Alina; Saleh, Sina; Shparlinski, Igor E. 1 2022 Bilinear sums of Gauss sums. Zbl 1496.11108 Shparlinski, Igor E. 1 2022 New bounds of Weyl sums. Zbl 1469.11276 Chen, Changhao; Shparlinski, Igor E. 10 2021 Multiplicative dependence among iterated values of rational functions modulo finitely generated groups. Zbl 1490.37115 Bérczes, Attila; Ostafe, Alina; Shparlinski, Igor E.; Silverman, Joseph H. 10 2021 A sparsity result for the dynamical Mordell-Lang conjecture in positive characteristic. Zbl 1485.11105 Ghioca, Dragos; Ostafe, Alina; Saleh, Sina; Shparlinski, Igor E. 5 2021 Restricted mean value theorems and the metric theory of restricted Weyl sums. Zbl 1480.11100 Chen, Changhao; Shparlinski, Igor E. 3 2021 Exponential sums with sparse polynomials over finite fields. Zbl 1469.11274 Shparlinski, Igor E.; Wang, Qiang 2 2021 Dynamical irreducibility of polynomials modulo primes. Zbl 1489.11177 Mérai, László; Ostafe, Alina; Shparlinski, Igor E. 2 2021 On the number of products which form perfect powers and discriminants of multiquadratic extensions. Zbl 1483.11209 de la Bretèche, Régis; Kurlberg, Pär; Shparlinski, Igor E. 2 2021 On the arithmetic structure of rational numbers in the Cantor set. Zbl 1469.11014 Shparlinski, Igor E. 2 2021 Perfect powers In value sets and orbits of polynomials. Zbl 1507.11059 Ostafe, Alina; Pottmeyer, Lukas; Shparlinski, Igor E. 1 2021 On elements of large order on elliptic curves and multiplicative dependent images of rational functions over finite fields. Zbl 1479.11106 Kerr, Bryce; Mello, Jorge; Shparlinski, Igor E. 1 2021 On the dynamical system generated by the Möbius transformation at prime times. Zbl 1481.11082 Mérai, László; Shparlinski, Igor E. 1 2021 Bounds of some double exponential sums. Zbl 1469.11269 Bag, Nilanjan; Shparlinski, Igor E. 1 2021 Small values of Weyl sums. Zbl 1466.11054 Chen, Changhao; Shparlinski, Igor E. 1 2021 Möbius randomness law for Frobenius traces of ordinary curves. Zbl 1470.11174 Sha, Min; Shparlinski, Igor E. 1 2021 On a hybrid version of the Vinogradov mean value theorem. Zbl 1488.11113 Chen, C.; Shparlinski, I. E. 1 2021 Sets of linear forms which are hard to compute. Zbl 07724239 Kaminski, Michael; Shparlinski, Igor E. 1 2021 Bilinear forms in Weyl sums for modular square roots and applications. Zbl 1469.11270 Dunn, Alexander; Kerr, Bryce; Shparlinski, Igor E.; Zaharescu, Alexandru 9 2020 Sums of algebraic trace functions twisted by arithmetic functions. Zbl 1469.11267 Korolev, Maxim; Shparlinski, Igor 7 2020 A refinement of the Burgess bound for character sums. Zbl 1471.11229 Kerr, Bryce; Shparlinski, Igor E.; Yau, Kam Hung 7 2020 On large values of Weyl sums. Zbl 1447.11086 Chen, Changhao; Shparlinski, Igor E. 7 2020 On the structure of graphs of Markoff triples. Zbl 1477.11054 Konyagin, Sergei V.; Makarychev, Sergey V.; Shparlinski, Igor E.; Vyugin, Ilya V. 6 2020 Bilinear sums of Kloosterman sums, multiplicative congruences and average values of the divisor function over families of arithmetic progressions. Zbl 1471.11251 Kerr, Bryce; Shparlinski, Igor E. 5 2020 Level curves of rational functions and unimodular points on rational curves. Zbl 1455.11055 Pakovich, Fedor; Shparlinski, Igor E. 5 2020 Congruences with intervals and arbitrary sets. Zbl 1483.11260 Banks, William; Shparlinski, Igor 5 2020 Binomial exponential sums. Zbl 1476.11140 Shparlinski, Igor E.; Voloch, José Felipe 4 2020 On smooth square-free numbers in arithmetic progressions. Zbl 1469.11375 Munsch, Marc; Shparlinski, Igor E. 4 2020 Smooth squarefree and squarefull integers in arithmetic progressions. Zbl 1446.11174 Munsch, Marc; Shparlinski, Igor E.; Yau, Kam Hung 4 2020 Hausdorff dimension of the large values of Weyl sums. Zbl 1468.11167 Chen, Changhao; Shparlinski, Igor E. 4 2020 Value sets of sparse polynomials. Zbl 1453.11163 Shparlinski, Igor E.; Voloch, José Felipe 3 2020 Kloosterman sums with twice-differentiable functions. Zbl 1472.11087 Shparlinski, Igor E.; Technau, Marc 3 2020 Average distribution of \(k\)-free numbers in arithmetic progressions. Zbl 1483.11205 Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping 3 2020 New estimates for exponential sums over multiplicative subgroups and intervals in prime fields. Zbl 1467.11077 Di Benedetto, Daniel; Garaev, Moubariz Z.; Garcia, Victor C.; Gonzalez-Sanchez, Diego; Shparlinski, Igor E.; Trujillo, Carlos A. 3 2020 Kloosterman paths of prime powers moduli. II. (Chemins de Kloosterman de modules une puissance d’un nombre premier. II.) Zbl 1456.11233 Ricotta, Guillaume; Royer, Emmanuel; Shparlinski, Igor 3 2020 Orders of points in families of elliptic curves. Zbl 1436.11061 Shparlinski, Igor E. 3 2020 Bounds of trilinear and trinomial exponential sums. Zbl 1452.11017 Macourt, Simon; Petridis, Giorgis; Shkredov, Ilya D.; Shparlinski, Igor E. 2 2020 Unlikely intersections over finite fields: polynomial orbits in small subgroups. Zbl 1489.11201 Mérai, László; Shparlinski, Igor E. 2 2020 Distribution of short subsequences of inversive congruential pseudorandom numbers modulo \(2^t\). Zbl 1439.11186 Mérai, László; Shparlinski, Igor E. 2 2020 On the complexity of exact counting of dynamically irreducible polynomials. Zbl 1479.11206 Gómez-Pérez, Domingo; Mérai, László; Shparlinski, Igor E. 1 2020 Lower bounds for periods of Ducci sequences. Zbl 1450.11018 Breuer, Florian; Shparlinski, Igor E. 1 2020 Sums with the Möbius function twisted by characters with powerful moduli. Zbl 1460.11109 Banks, William D.; Shparlinski, Igor E. 1 2020 On a sum involving the Euler function. Zbl 1454.11009 Bordellès, Olivier; Dai, Lixia; Heyman, Randell; Pan, Hao; Shparlinski, Igor E. 28 2019 On sums of Kloosterman and Gauss sums. Zbl 1453.11105 Shparlinski, Igor E. 18 2019 On multiplicative dependence of values of rational functions and a generalization of the Northcott theorem. Zbl 1442.11142 Ostafe, Alina; Sha, Min; Shparlinski, Igor E.; Zannier, Umberto 11 2019 Cancellations between Kloosterman sums modulo a prime power with prime arguments. Zbl 1441.11192 Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping 10 2019 Reductions modulo primes of systems of polynomial equations and algebraic dynamical systems. Zbl 1403.37101 D’Andrea, Carlos; Ostafe, Alina; Shparlinski, Igor E.; Sombra, Martín 10 2019 Bounds of trilinear and quadrilinear exponential sums. Zbl 1454.11151 Petridis, Giorgis; Shparlinski, Igor E. 10 2019 Bounds on short character sums and \(L\)-functions with characters to a powerful modulus. Zbl 1460.11110 Banks, William D.; Shparlinski, Igor E. 7 2019 On short products of primes in arithmetic progressions. Zbl 1456.11179 Shparlinski, Igor E. 7 2019 Double sums of Kloosterman sums in finite fields. Zbl 1447.11117 Macourt, Simon; Shparlinski, Igor E. 5 2019 On the typical size and cancellations among the coefficients of some modular forms. Zbl 1450.11100 Luca, Florian; Radziwiłł, Maksym; Shparlinski, Igor E. 4 2019 On functional graphs of quadratic polynomials. Zbl 1417.05088 Mans, Bernard; Sha, Min; Shparlinski, Igor E.; Sutantyo, Daniel 4 2019 Analogues of the Balog-Wooley decomposition for subsets of finite fields and character sums with convolutions. Zbl 1473.11033 Roche-Newton, Oliver; Shparlinski, Igor E.; Winterhof, Arne 3 2019 Counting integers with a smooth totient. Zbl 1475.11177 Banks, W. D.; Friedlander, J. B.; Pomerance, C.; Shparlinski, I. E. 2 2019 Disjointness of the Möbius transformation and Möbius function. Zbl 1454.11147 El Abdalaoui, El Houcein; Shparlinski, Igor E. 2 2019 Sparsity of curves and additive and multiplicative expansion of rational maps over finite fields. Zbl 1441.11068 Mérai, László; Shparlinski, Igor E. 2 2019 Divisor problem in arithmetic progressions modulo a prime power. Zbl 1436.11103 Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping 17 2018 Multiplicative energy of shifted subgroups and bounds on exponential sums with trinomials in finite fields. Zbl 1448.11213 Macourt, Simon; Shkredov, Ilya D.; Shparlinski, Igor E. 11 2018 On multiplicatively dependent vectors of algebraic numbers. Zbl 1442.11134 Pappalardi, Francesco; Sha, Min; Shparlinski, Igor E.; Stewart, Cameron L. 6 2018 Elliptic curves in isogeny classes. Zbl 1444.11122 Shparlinski, Igor E.; Zhao, Liangyi 5 2018 Denominators of Bernoulli polynomials. Zbl 1415.11121 Bordellès, Olivier; Luca, Florian; Moree, Pieter; Shparlinski, Igor E. 5 2018 On abelian multiplicatively dependent points on a curve in a torus. Zbl 1440.11101 Ostafe, Alina; Sha, Min; Shparlinski, Igor E.; Zannier, Umberto 5 2018 Bilinear forms with exponential sums with binomials. Zbl 1429.11069 Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping 5 2018 Orbits of polynomial dynamical systems modulo primes. Zbl 1416.37081 Chang, Mei-Chu; D’Andrea, Carlos; Ostafe, Alina; Shparlinski, Igor E.; Sombra, Martín 5 2018 Multiplicative orders in orbits of polynomials over finite fields. Zbl 1431.11130 Shparlinski, Igor E. 5 2018 Connected components of the graph generated by power maps in prime finite fields. Zbl 1441.05108 Pomerance, Carl; Shparlinksi, Igor E. 4 2018 Double character sums with intervals and arbitrary sets. Zbl 1459.11166 Shkredov, Ilya D.; Shparlinski, Igor E. 4 2018 The Sato-Tate distribution in thin parametric families of elliptic curves. Zbl 1426.11057 de la Bretèche, Régis; Sha, Min; Shparlinski, Igor E.; Voloch, José Felipe 4 2018 Polynomial interpolation and identity testing from high powers over finite fields. Zbl 1390.11128 Ivanyos, Gábor; Karpinski, Marek; Santha, Miklos; Saxena, Nitin; Shparlinski, Igor E. 3 2018 On the error term of a lattice counting problem. Zbl 1380.11085 Bordellès, Olivier; Luca, Florian; Shparlinski, Igor E. 2 2018 Trilinear forms with double Kloosterman sums. Zbl 1447.11089 Shparlinski, Igor E. 2 2018 Linear equations with rational fractions of bounded height and stochastic matrices. Zbl 1422.11069 Shparlinski, Igor E. 2 2018 On constructing primitive roots in finite fields with advice. Zbl 1431.11006 Shparlinski, Igor E. 1 2018 ...and 520 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,144 Authors 339 Shparlinski, Igor E. 81 Luca, Florian 65 Winterhof, Arne 37 Ostafe, Alina 30 Garaev, Moubariz Z. 26 Shkredov, Il’ya Dmitrievich 24 Banks, William David 24 Sha, Min 22 Mérai, László 20 Chen, Zhixiong 19 von zur Gathen, Joachim 17 Ballet, Stéphane 17 Dubickas, Artūras 17 Koh, Doowon 17 Konyagin, Sergeĭ Vladimirovich 16 Bell, Jason P. 16 Bourgain, Jean 16 Chang, Mei-Chu 16 Gomez-Perez, Domingo 16 Korolëv, Maksim Aleksandrovich 15 Bašić, Milan 15 Kerr, Bryce 15 Niederreiter, Harald 15 Pollack, Paul 15 Sanna, Carlo 14 Cilleruelo, Javier 14 Munsch, Marc 14 Wu, Jie 14 Zaharescu, Alexandru 13 Gutierrez, Jaime 13 Meidl, Wilfried 13 Panario, Daniel 13 Pham Van Thang 13 Vinh, Le Anh 12 Ahmadi, Omran 10 Farashahi, Reza Rezaeian 10 Mello, Jorge 10 Voloch, José Felipe 10 Zhang, Wenpeng 9 Chen, Changhao 9 Cochrane, Todd 9 Ford, Kevin B. 9 Friedlander, John Benjamin 9 Gómez, Domingo 9 Ilić, Aleksandar 9 Kamlovskiĭ, Oleg Vital’evich 9 Macourt, Simon 9 Reis, Lucas 9 Rojas, J. Maurice 8 Baier, Stephan 8 Dartyge, Cécile 8 Galbraith, Steven D. 8 Hu, Lei 8 Micheli, Giacomo 8 Mohammadi, Ali 8 Moree, Pieter 8 Shen, Chun-Yen 8 Shteĭnikov, Yuriĭ Nikolaevich 8 Tibouchi, Mehdi 8 Wan, Daqing 8 Worrell, James Benjamin 8 Xu, Zhefeng 8 Zhang, Tianping 7 Cao, Xiwang 7 Cojocaru, Alina Carmen 7 García, Victor Cuauhtemoc 7 Guo, Victor Zhenyu 7 Hone, Andrew N. W. 7 Karpinski, Marek 7 Liu, Huaning 7 Murty, Maruti Ram 7 Ouaknine, Joel O. 7 Pomerance, Carl Bernard 7 Poulakis, Dimitrios 7 Sárközy, András 7 Silverman, Joseph Hillel 7 Srichan, Teerapat 7 Vergnaud, Damien 7 Ward, Thomas 7 Xu, Jun 7 Yau, Kam-hung 7 Zhang, Wei 6 Bhattacharjya, Bikash 6 Blake, Ian Fraser 6 Cheng, Qi 6 Cohen, Stephen D. 6 Cusick, Thomas W. 6 Du, Xiaoni 6 Gao, Shuhong 6 Ghioca, Dragos 6 Harvey, David 6 Heyman, Randell 6 Liu, Kui 6 Lv, Xingxing 6 Ma, Jing 6 Naccache, David 6 Pappalardi, Francesco 6 Petridis, Giorgis 6 Randriambololona, Hugues 6 Sander, Jürgen W. ...and 2,044 more Authors all top 5 Cited in 294 Serials 147 Journal of Number Theory 112 Finite Fields and their Applications 69 International Journal of Number Theory 63 Designs, Codes and Cryptography 54 Bulletin of the Australian Mathematical Society 52 Mathematics of Computation 51 Proceedings of the American Mathematical Society 43 Acta Arithmetica 34 Linear Algebra and its Applications 32 Monatshefte für Mathematik 32 Journal of Symbolic Computation 28 Information Processing Letters 28 Mathematical Notes 26 Applicable Algebra in Engineering, Communication and Computing 26 The Ramanujan Journal 23 Periodica Mathematica Hungarica 23 Theoretical Computer Science 23 Transactions of the American Mathematical Society 23 Indagationes Mathematicae. 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Third Series 7 European Journal of Combinatorics 7 Journal of the Australian Mathematical Society 6 Applied Mathematics Letters 6 Journal of Cryptology 6 Computational Complexity 6 Journal of Mathematical Sciences (New York) 6 The Electronic Journal of Combinatorics 6 Journal of Discrete Mathematical Sciences & Cryptography 6 Algebra & Number Theory 6 Involve 6 Forum of Mathematics, Sigma 5 Journal of Mathematical Physics 5 Czechoslovak Mathematical Journal 5 Inventiones Mathematicae 5 Journal of Combinatorial Theory. Series A 5 Journal of Functional Analysis 5 Journal of Pure and Applied Algebra 5 Pacific Journal of Mathematics 5 Algorithmica 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 The New York Journal of Mathematics 5 Journal of Inequalities and Applications 5 Wuhan University Journal of Natural Sciences (WUJNS) 5 LMS Journal of Computation and Mathematics 5 International Journal of Quantum Information 5 Science China. 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Third Series 4 Taiwanese Journal of Mathematics ...and 194 more Serials all top 5 Cited in 52 Fields 1,672 Number theory (11-XX) 353 Information and communication theory, circuits (94-XX) 232 Combinatorics (05-XX) 216 Computer science (68-XX) 175 Algebraic geometry (14-XX) 102 Dynamical systems and ergodic theory (37-XX) 68 Field theory and polynomials (12-XX) 66 Numerical analysis (65-XX) 57 Linear and multilinear algebra; matrix theory (15-XX) 57 Group theory and generalizations (20-XX) 51 Quantum theory (81-XX) 43 Commutative algebra (13-XX) 28 Probability theory and stochastic processes (60-XX) 22 Mathematical logic and foundations (03-XX) 22 Convex and discrete geometry (52-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 12 Functions of a complex variable (30-XX) 12 Functional analysis (46-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 10 Measure and integration (28-XX) 8 Special functions (33-XX) 8 Difference and functional equations (39-XX) 8 Operations research, mathematical programming (90-XX) 7 Associative rings and algebras (16-XX) 7 Topological groups, Lie groups (22-XX) 7 Real functions (26-XX) 7 Partial differential equations (35-XX) 6 Abstract harmonic analysis (43-XX) 6 Geometry (51-XX) 5 Nonassociative rings and algebras (17-XX) 5 Approximations and expansions (41-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Operator theory (47-XX) 4 Algebraic topology (55-XX) 4 Statistics (62-XX) 4 Biology and other natural sciences (92-XX) 3 Ordinary differential equations (34-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Category theory; homological algebra (18-XX) 2 Sequences, series, summability (40-XX) 2 Manifolds and cell complexes (57-XX) 1 \(K\)-theory (19-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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