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Shparlinski, Igor E.

Author ID: shparlinski.igor-e Recent zbMATH articles by "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.
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
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Co-Authors

205 single-authored
77 Luca, Florian
65 Banks, William David
39 Ostafe, Alina
29 Friedlander, John Benjamin
25 von zur Gathen, Joachim
25 Winterhof, Arne
24 Garaev, Moubariz Z.
24 Konyagin, Sergeĭ Vladimirovich
16 Sha, Min
15 Kerr, Bryce
14 Pomerance, Carl Bernard
13 Niederreiter, Harald
13 Voloch, José Felipe
12 Chen, Changhao
10 Bourgain, Jean
10 Gomez-Perez, Domingo
9 Ahmadi, Omran
9 Gutierrez, Jaime
9 Mérai, László
9 Pappalardi, Francesco
9 Stepanov, Sergei Alexandrovich
8 Karpinski, Marek
8 Lieman, Daniel B.
8 Mans, Bernard
8 Nguyen, Phong Q.
7 Blackburn, Simon R.
7 Cilleruelo, Javier
7 El-Mahassni, Edwin D.
7 Munsch, Marc
7 Shkredov, Il’ya Dmitrievich
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
5 Sutantyo, Daniel
5 Zaharescu, Alexandru
4 Baker, Roger C.
4 Conflitti, Alessandro
4 Damm, Carsten
4 Dietmann, Rainer
4 Everest, Graham Robert
4 Fouvry, Etienne
4 González Vasco, María Isabel
4 Griffin, Frances
4 Khan, Mizan R.
4 Kohel, David R.
4 Kosachevskaya, L. L.
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 Kurlberg, Pär
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 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.
2 Levieil, Eric
2 Levin, Mordekhaĭ Borisovich
...and 229 more Co-Authors
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Serials

33 Journal of Number Theory
26 Bulletin of the Australian Mathematical Society
25 Proceedings of the American Mathematical Society
23 Finite Fields and their Applications
21 Mathematics of Computation
21 Acta Arithmetica
15 The Quarterly Journal of Mathematics
14 Designs, Codes and Cryptography
12 Mathematika
11 Canadian Mathematical Bulletin
11 SIAM Journal on Discrete Mathematics
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
10 Archiv der Mathematik
10 Michigan Mathematical Journal
9 Periodica Mathematica Hungarica
9 Glasgow Mathematical Journal
9 Monatshefte für Mathematik
8 Mathematical Notes
8 Bulletin of the London Mathematical Society
8 Transactions of the American Mathematical Society
8 Experimental Mathematics
7 IEEE Transactions on Information Theory
7 Canadian Journal of Mathematics
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 Journal of the London Mathematical Society. Second Series
5 Journal de Théorie des Nombres de Bordeaux
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 Revista Matemática Iberoamericana
4 Linear Algebra and its Applications
4 Integers
4 Contemporary Mathematics
3 Journal d’Analyse Mathématique
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 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 Israel Journal of Mathematics
2 Acta Scientiarum Mathematicarum
2 Czechoslovak Mathematical Journal
2 Kodai Mathematical Journal
2 Manuscripta Mathematica
2 Mathematische Nachrichten
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
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
1 Bulletin de la Société Mathématique de France
...and 53 more Serials

Publications by Year

Citations contained in zbMATH Open

584 Publications have been cited 3,680 times in 1,844 Documents Cited by Year
Handbook of finite fields. Zbl 1319.11001
180
2013
Recurrence sequences. Zbl 1033.11006
Everest, Graham; van der Poorten, Alf; Shparlinski, Igor; Ward, Thomas
134
2003
Character sums with exponential functions and their applications. Zbl 0933.11001
Konyagin, S. V.; Shparlinski, I. E.
82
1999
Parameters of integral circulant graphs and periodic quantum dynamics. Zbl 1119.81042
Saxena, Nitin; Severini, Simone; Shparlinski, Igor E.
50
2007
Graphs with integral spectrum. Zbl 1178.05060
Ahmadi, Omran; Alon, Noga; Blake, Ian F.; Shparlinski, Igor E.
46
2009
On the hidden shifted power problem. Zbl 1311.11111
Bourgain, Jean; Garaev, Moubariz Z.; Konyagin, Sergei V.; Shparlinski, Igor E.
37
2012
Cryptographic applications of analytic number theory. Complexity lower bounds and pseudorandomness. Zbl 1036.94001
Shparlinski, I.
32
2003
The insecurity of the digital signature algorithm with partially known nonces. Zbl 1009.94011
Nguyen, Phong Q.; Shparlinski, Igor E.
31
2002
Finite fields: theory and computation. The meeting point of number theory, computer science, coding theory and cryptography. Zbl 0967.11052
Shparlinski, I. E.
30
1999
The insecurity of the elliptic curve digital signature algorithm with partially known nonces. Zbl 1039.94008
Nguyen, Phong Q.; Shparlinski, Igor E.
30
2003
Curves with many points and multiplication in finite fields. Zbl 0805.14028
Shparlinski, Igor E.; Tsfasman, Michael A.; Vladut, Serge G.
27
1992
Pseudorandomness and dynamics of Fermat quotients. Zbl 1263.11003
Ostafe, Alina; Shparlinski, Igor E.
27
2011
Modular hyperbolas. Zbl 1272.11050
Shparlinski, Igor E.
27
2012
On polynomial approximation of the discrete logarithm and the Diffie-Hellman mapping. Zbl 1038.94007
Coppersmith, Don; Shparlinski, Igor
26
2000
Computational and algorithmic problems in finite fields. Zbl 0780.11064
Shparlinski, Igor E.
26
1992
On the statistical properties of Diffie-Hellman distributions. Zbl 0997.11066
Canetti, Ran; Friedlander, John; Konyagin, Sergei; Larsen, Michael; Lieman, Daniel; Shparlinski, Igor
25
2000
On the distribution of inversive congruential pseudorandom numbers in parts of the period. Zbl 0983.11048
Niederreiter, Harald; Shparlinski, Igor E.
25
2001
On the cycle structure of repeated exponentiation modulo a prime. Zbl 1060.11059
Chou, Wun-Seng; Shparlinski, Igor E.
25
2004
On the concentration of points of polynomial maps and applications. Zbl 1285.11027
Cilleruelo, Javier; Garaev, Moubariz Z.; Ostafe, Alina; Shparlinski, Igor E.
25
2012
On the divisibility of Fermat quotients. Zbl 1223.11116
Bourgain, Jean; Ford, Kevin; Konyagin, Sergei V.; Shparlinski, Igor E.
24
2010
On a ternary quadratic form over primes. Zbl 1243.11093
Fouvry, Étienne; Shparlinski, Igor E.
24
2011
Cancellations amongst Kloosterman sums. Zbl 1368.11092
Shparlinski, Igor E.; Zhang, Tianping
23
2016
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
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.
23
2008
Prime numbers with Beatty sequences. Zbl 1167.11010
Banks, William D.; Shparlinski, Igor E.
23
2009
On exponential sums and group generators for elliptic curves over finite fields. Zbl 1032.11034
Kohel, David R.; Shparlinski, Igor E.
22
2000
Period of the power generator and small values of Carmichael’s function. Zbl 1029.11043
Friedlander, John B.; Pomerance, Carl; Shparlinski, Igor E.
21
2002
On the linear complexity and multidimensional distribution of congruential generators over elliptic curves. Zbl 1116.14307
Hess, Florian; Shparlinski, Igor E.
21
2005
On a sum involving the Euler function. Zbl 1454.11009
Bordellès, Olivier; Dai, Lixia; Heyman, Randell; Pan, Hao; Shparlinski, Igor E.
21
2019
Recent advances in the theory of nonlinear pseudorandom number generators. Zbl 1076.65008
Niederreiter, Harald; Shparlinski, Igor E.
21
2002
Certain exponential sums and random walks on elliptic curves. Zbl 1068.11078
Lange, Tanja; Shparlinski, Igor E.
21
2005
Character sums with exponential functions. Zbl 1017.11045
Friedlander, John B.; Hansen, Jan; Shparlinski, Igor E.
21
2000
On the distribution and lattice structure of nonlinear congruential pseudorandom numbers. Zbl 0942.11037
Niederreiter, Harald; Shparlinski, Igor E.
20
1999
Character sums over integers with restricted \(g\)-ary digits. Zbl 1026.11068
Banks, William D.; Conflitti, Alessandro; Shparlinski, Igor E.
20
2002
Piatetski-Shapiro sequences. Zbl 1327.11062
Baker, Roger C.; Banks, William D.; Brüdern, Jörg; Shparlinski, Igor E.; Weingartner, Andreas J.
20
2013
On the Naor-Reingold pseudo-random function from elliptic curves. Zbl 1011.11055
Shparlinski, Igor E.
19
2000
On the energy of some circulant graphs. Zbl 1083.05029
Shparlinski, Igor
19
2006
Character sums with Fermat quotients. Zbl 1273.11126
Shparlinski, Igor E.
18
2011
Divisor problem in arithmetic progressions modulo a prime power. Zbl 1436.11103
Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping
17
2018
On the distribution of the power generator. Zbl 1029.11042
Friedlander, John B.; Shparlinski, Igor E.
17
2001
Orders of Gauss periods in finite fields. Zbl 0931.11057
von zur Gathen, Joachim; Shparlinski, Igor
17
1998
Bounds of multiplicative character sums with Fermat quotients of primes. Zbl 1221.11004
Shparlinski, Igor E.
17
2011
On sums of Kloosterman and Gauss sums. Zbl 1453.11105
Shparlinski, Igor E.
17
2019
Predicting nonlinear pseudorandom number generators. Zbl 1136.11316
Blackburn, Simon R.; Gomez-Perez, Domingo; Gutierrez, Jaime; Shparlinski, Igor E.
17
2005
Fermat quotients: exponential sums, value set and primitive roots. Zbl 1250.11005
Shparlinski, Igor E.
17
2011
Prescribing the binary digits of squarefree numbers and quadratic residues. Zbl 1431.11015
Dietmann, Rainer; Elsholtz, Christian; Shparlinski, Igor E.
16
2017
Arithmetic properties of numbers with restricted digits. Zbl 1049.11003
Banks, William D.; Shparlinski, Igor E.
16
2004
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.
16
2013
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
16
2014
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
On the value set of Fermat quotients. Zbl 1305.11003
Shparlinski, Igor E.
16
2012
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.
16
2012
On finding primitive roots in finite fields. Zbl 0871.11091
Shparlinski, Igor
15
1996
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
15
2005
Arithmetic functions on Beatty sequences. Zbl 1227.11045
Abercrombie, Alex G.; Banks, William D.; Shparlinski, Igor E.
15
2009
Dynamical systems generated by rational functions. Zbl 1030.11072
Niederreiter, Harald; Shparlinski, Igor E.
15
2003
Exponential sums and rational points on complete intersections. Zbl 0719.11086
Shparlinskij, Igor E.; Skorobogatov, Alexej N.
15
1990
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.
15
2008
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
15
2013
Character sums and congruences with \(n!\). Zbl 1060.11046
Garaev, Moubariz Z.; Luca, Florian; Shparlinski, Igor E.
14
2004
On the distribution of pseudorandom numbers and vectors generated by inversive methods. Zbl 0999.11040
Niederreiter, Harald; Shparlinski, Igor E.
14
2000
On the distribution of points on multidimensional modular hyperbolas. Zbl 1123.11026
Shparlinski, Igor E.
14
2007
Predicting the inversive generator. Zbl 1123.94330
Blackburn, Simon R.; Gomez-Perez, Domingo; Gutierrez, Jaime; Shparlinski, Igor E.
14
2003
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
Short character sums with Beatty sequences. Zbl 1220.11097
Banks, William D.; Shparlinski, Igor E.
14
2006
On the security of Diffie-Hellman bits. Zbl 0997.94548
González Vasco, Maria Isabel; Shparlinski, Igor E.
13
2001
Exponential sums over Mersenne numbers. Zbl 1060.11045
Banks, William D.; Conflitti, Alessandro; Friedlander, John B.; Shparlinski, Igor E.
13
2004
Functional graphs of polynomials over finite fields. Zbl 1327.05323
Konyagin, Sergei V.; Luca, Florian; Mans, Bernard; Mathieson, Luke; Sha, Min; Shparlinski, Igor E.
13
2016
Multiplicative congruences with variables from short intervals. Zbl 1385.11002
Bourgain, Jean; Garaev, Moubariz Z.; Konyagin, Sergei V.; Shparlinski, Igor E.
13
2014
On Gaussian sums for finite fields and elliptic curves. Zbl 0846.11064
Shparlinski, I. E.
13
1992
On the solvability of bilinear equations in finite fields. Zbl 1246.11183
Shparlinski, Igor E.
13
2008
Distribution of modular inverses and multiples of small integers and the Sato-Tate conjecture on average. Zbl 1225.11101
Shparlinski, Igor E.
13
2008
Multiplicative order of Gauss periods. Zbl 1201.11110
Ahmadi, Omran; Shparlinski, Igor E.; Voloch, José Felipe
13
2010
On the uniformity of distribution of congruential generators over elliptic curves. Zbl 1043.94536
El Mahassni, Edwin; Shparlinski, Igor
13
2002
On the unpredictability of bits of the elliptic curve Diffie-Hellman scheme. Zbl 1002.94025
Boneh, Dan; Shparlinski, Igor E.
13
2001
Distribution of some sequences of points on elliptic curves. Zbl 1129.14040
Lange, Tanja; Shparlinski, Igor E.
13
2007
On the maximal difference between an element and its inverse modulo \(n\). Zbl 1047.11003
Khan, M. R.; Shparlinski, I. E.
12
2003
Additive decompositions of subgroups of finite fields. Zbl 1287.11120
Shparlinski, Igor E.
12
2013
On the concentration of points on modular hyperbolas and exponential curves. Zbl 1198.11002
Chan, Tsz Ho; Shparlinski, Igor E.
12
2010
Non-residues and primitive roots in Beatty sequences. Zbl 1144.11064
Banks, William D.; Shparlinski, Igor E.
12
2006
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
12
2006
On the number of sign changes of Hecke eigenvalues of newforms. Zbl 1241.11053
Kohnen, Winfried; Lau, Yuk-Kam; Shparlinski, Igor E.
12
2008
Products in residue classes. Zbl 1182.11046
Friedlander, John B.; Kurlberg, Pär; Shparlinski, Igor E.
12
2008
On a generalisation of a Lehmer problem. Zbl 1269.11068
Shparlinski, Igor E.
12
2009
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 average value of divisor sums in arithmetic progressions. Zbl 1071.11055
Banks, William D.; Heath-Brown, Roger; Shparlinski, Igor E.
12
2005
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
On group structures realized by elliptic curves over arbitrary finite fields. Zbl 1257.11060
Banks, William D.; Pappalardi, Francesco; Shparlinski, Igor E.
12
2012
On the average energy of circulant graphs. Zbl 1135.05036
Blackburn, Simon R.; Shparlinski, Igor E.
12
2008
On the number of solutions of exponential congruences. Zbl 1268.11048
Balog, Antal; Broughan, Kevin A.; Shparlinski, Igor E.
11
2011
Pseudorandom number generators from elliptic curves. Zbl 1246.11135
Shparlinski, Igor E.
11
2009
Number theoretic methods in cryptography. Complexity lower bounds. Zbl 0912.11057
Shparlinski, Igor
11
1999
On the spectral Ádám property for circulant graphs. Zbl 1035.05059
Mans, Bernard; Pappalardi, Francesco; Shparlinski, Igor
11
2002
Counting curves and their projections. Zbl 0990.68642
von zur Gathen, Joachim; Karpinski, Marek; Shparlinski, Igor
11
1997
On the consecutive powers of a primitive root: gaps and exponential sums. Zbl 1276.11005
Konyagin, Sergei V.; Shparlinski, Igor E.
11
2012
Cancellations between Kloosterman sums modulo a prime power with prime arguments. Zbl 1441.11192
Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping
10
2019
Bounds of trilinear and quadrilinear exponential sums. Zbl 1454.11151
Petridis, Giorgis; Shparlinski, Igor E.
10
2019
Smooth orders and cryptographic applications. Zbl 1058.11059
Pomerance, Carl; Shparlinski, Igor E.
10
2002
Chowla and Sarnak conjectures for Kloosterman sums. Zbl 07794284
El Abdalaoui, Houcein; Shparlinski, Igor E.; Steiner, Raphael S.
1
2024
Metric theory of Weyl sums. Zbl 1520.11075
Chen, Changhao; Kerr, Bryce; Maynard, James; Shparlinski, Igor E.
3
2023
Bounds on bilinear forms with Kloosterman sums. Zbl 07731130
Kerr, Bryce; Shparlinski, Igor E.; Wu, Xiaosheng; Xi, Ping
3
2023
Bounds on bilinear sums of Kloosterman sums. Zbl 1506.11108
Bag, Nilanjan; Shparlinski, Igor E.
2
2023
On the Glasner property for matrices with polynomial entries. Zbl 1518.11054
Shparlinski, Igor E.
1
2023
Two-dimensional Weyl sums failing square-root cancellation along lines. Zbl 07768169
Brandes, Julia; Shparlinski, Igor E.
1
2023
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
3
2022
Energy bounds, bilinear forms and their applications in function fields. Zbl 1511.11099
Bagshaw, Christian; Shparlinski, Igor E.
2
2022
On sparsity of representations of polynomials as linear combinations of exponential functions. Zbl 07730462
Ghioca, Dragos; Ostafe, Alina; Saleh, Sina; Shparlinski, Igor E.
1
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
Large Weyl sums and Hausdorff dimension. Zbl 1489.11115
Baker, Roger C.; Chen, Changhao; Shparlinski, Igor E.
1
2022
On the Skolem problem and some related questions for parametric families of linear recurrence sequences. Zbl 1498.11046
Ostafe, Alina; Shparlinski, Igor E.
1
2022
Bilinear sums of Gauss sums. Zbl 1496.11108
Shparlinski, Igor E.
1
2022
Additive energy and a large sieve inequality for sparse sequences. Zbl 07738299
Baker, Roger C.; Munsch, Marc; Shparlinski, Igor E.
1
2022
A sparsity result for the dynamical Mordell-Lang conjecture in positive characteristic. Zbl 1485.11105
Ghioca, Dragos; Ostafe, Alina; Saleh, Sina; Shparlinski, Igor E.
6
2021
New bounds of Weyl sums. Zbl 1469.11276
Chen, Changhao; Shparlinski, Igor E.
5
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.
5
2021
Restricted mean value theorems and the metric theory of restricted Weyl sums. Zbl 1480.11100
Chen, Changhao; Shparlinski, Igor E.
2
2021
Sets of linear forms which are hard to compute. Zbl 07724239
Kaminski, Michael; 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 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.
1
2021
Exponential sums with sparse polynomials over finite fields. Zbl 1469.11274
Shparlinski, Igor E.; Wang, Qiang
1
2021
On a hybrid version of the Vinogradov mean value theorem. Zbl 1488.11113
Chen, C.; Shparlinski, I. E.
1
2021
On the arithmetic structure of rational numbers in the Cantor set. Zbl 1469.11014
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
Perfect powers In value sets and orbits of polynomials. Zbl 1507.11059
Ostafe, Alina; Pottmeyer, Lukas; Shparlinski, Igor E.
1
2021
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
6
2020
Level curves of rational functions and unimodular points on rational curves. Zbl 1455.11055
Pakovich, Fedor; Shparlinski, Igor E.
5
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
Bilinear forms in Weyl sums for modular square roots and applications. Zbl 1469.11270
Dunn, Alexander; Kerr, Bryce; Shparlinski, Igor E.; Zaharescu, Alexandru
5
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
On large values of Weyl sums. Zbl 1447.11086
Chen, Changhao; Shparlinski, Igor E.
4
2020
Congruences with intervals and arbitrary sets. Zbl 1483.11260
Banks, William; Shparlinski, Igor
4
2020
Hausdorff dimension of the large values of Weyl sums. Zbl 1468.11167
Chen, Changhao; Shparlinski, Igor E.
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
Unlikely intersections over finite fields: polynomial orbits in small subgroups. Zbl 1489.11201
Mérai, László; Shparlinski, Igor E.
2
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.
2
2020
Kloosterman paths of prime powers moduli. II. Zbl 1456.11233
Ricotta, Guillaume; Royer, Emmanuel; Shparlinski, Igor
2
2020
On the structure of graphs of Markoff triples. Zbl 1477.11054
Konyagin, Sergei V.; Makarychev, Sergey V.; Shparlinski, Igor E.; Vyugin, Ilya V.
2
2020
Orders of points in families of elliptic curves. Zbl 1436.11061
Shparlinski, Igor E.
2
2020
Bounds of trilinear and trinomial exponential sums. Zbl 1452.11017
Macourt, Simon; Petridis, Giorgis; Shkredov, Ilya D.; Shparlinski, Igor E.
2
2020
Sums with the Möbius function twisted by characters with powerful moduli. Zbl 1460.11109
Banks, William D.; Shparlinski, Igor E.
1
2020
On the complexity of exact counting of dynamically irreducible polynomials. Zbl 1479.11206
Gómez-Pérez, Domingo; Mérai, László; Shparlinski, Igor E.
1
2020
Distribution of short subsequences of inversive congruential pseudorandom numbers modulo \(2^t\). Zbl 1439.11186
Mérai, László; Shparlinski, Igor E.
1
2020
Lower bounds for periods of Ducci sequences. Zbl 1450.11018
Breuer, Florian; Shparlinski, Igor E.
1
2020
Binomial exponential sums. Zbl 1476.11140
Shparlinski, Igor E.; Voloch, José Felipe
1
2020
Value sets of sparse polynomials. Zbl 1453.11163
Shparlinski, Igor E.; Voloch, José Felipe
1
2020
On a sum involving the Euler function. Zbl 1454.11009
Bordellès, Olivier; Dai, Lixia; Heyman, Randell; Pan, Hao; Shparlinski, Igor E.
21
2019
On sums of Kloosterman and Gauss sums. Zbl 1453.11105
Shparlinski, Igor E.
17
2019
Cancellations between Kloosterman sums modulo a prime power with prime arguments. Zbl 1441.11192
Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping
10
2019
Bounds of trilinear and quadrilinear exponential sums. Zbl 1454.11151
Petridis, Giorgis; Shparlinski, Igor E.
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
9
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
9
2019
On short products of primes in arithmetic progressions. Zbl 1456.11179
Shparlinski, Igor E.
6
2019
Double sums of Kloosterman sums in finite fields. Zbl 1447.11117
Macourt, Simon; Shparlinski, Igor E.
4
2019
Bounds on short character sums and \(L\)-functions with characters to a powerful modulus. Zbl 1460.11110
Banks, William D.; Shparlinski, Igor E.
4
2019
On the typical size and cancellations among the coefficients of some modular forms. Zbl 1450.11100
Luca, Florian; Radziwiłł, Maksym; Shparlinski, Igor E.
3
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
On functional graphs of quadratic polynomials. Zbl 1417.05088
Mans, Bernard; Sha, Min; Shparlinski, Igor E.; Sutantyo, Daniel
2
2019
Disjointness of the Möbius transformation and Möbius function. Zbl 1454.11147
El Abdalaoui, El Houcein; Shparlinski, Igor E.
2
2019
Counting integers with a smooth totient. Zbl 1475.11177
Banks, W. D.; Friedlander, J. B.; Pomerance, C.; Shparlinski, I. 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.
1
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.
9
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
Bilinear forms with exponential sums with binomials. Zbl 1429.11069
Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping
5
2018
Multiplicative orders in orbits of polynomials over finite fields. Zbl 1431.11130
Shparlinski, Igor E.
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
4
2018
On abelian multiplicatively dependent points on a curve in a torus. Zbl 1440.11101
Ostafe, Alina; Sha, Min; Shparlinski, Igor E.; Zannier, Umberto
4
2018
Connected components of the graph generated by power maps in prime finite fields. Zbl 1441.05108
Pomerance, Carl; Shparlinksi, Igor E.
3
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
3
2018
Denominators of Bernoulli polynomials. Zbl 1415.11121
Bordellès, Olivier; Luca, Florian; Moree, Pieter; Shparlinski, Igor E.
2
2018
Trilinear forms with double Kloosterman sums. Zbl 1447.11089
Shparlinski, Igor E.
2
2018
On the error term of a lattice counting problem. Zbl 1380.11085
Bordellès, Olivier; Luca, Florian; Shparlinski, Igor E.
2
2018
Linear equations with rational fractions of bounded height and stochastic matrices. Zbl 1422.11069
Shparlinski, Igor E.
2
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.
2
2018
Double character sums with intervals and arbitrary sets. Zbl 1459.11166
Shkredov, Ilya D.; Shparlinski, Igor E.
1
2018
On constructing primitive roots in finite fields with advice. Zbl 1431.11006
Shparlinski, Igor E.
1
2018
Prescribing the binary digits of squarefree numbers and quadratic residues. Zbl 1431.11015
Dietmann, Rainer; Elsholtz, Christian; Shparlinski, Igor E.
16
2017
Orbits of algebraic dynamical systems in subgroups and subfields. Zbl 1393.37113
Ostafe, Alina; Shparlinski, Igor E.
7
2017
Squares in Piatetski-Shapiro sequences. Zbl 1428.11051
Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping
7
2017
On some multiple character sums. Zbl 1427.11078
Shkredov, Ilya D.; Shparlinski, Igor E.
3
2017
Double exponential sums with exponential functions. Zbl 1428.11143
Shparlinski, Igor E.; Yau, Kam Hung
3
2017
An explicit polynomial analogue of Romanoff’s theorem. Zbl 1421.11096
Shparlinski, Igor E.; Weingartner, Andreas J.
3
2017
The Sato-Tate distribution in families of elliptic curves with a rational parameter of bounded height. Zbl 1410.11054
Sha, Min; Shparlinski, Igor E.
2
2017
Power series approximations to Fekete polynomials. Zbl 1427.11030
Bell, Jason; Shparlinski, Igor E.
2
2017
On distances in lattices from algebraic number fields. Zbl 1433.11083
Dubickas, Artūras; Sha, Min; Shparlinski, Igor E.
2
2017
On two functions arising in the study of the Euler and Carmichael quotients. Zbl 1425.11009
Luca, Florian; Sha, Min; Shparlinski, Igor E.
1
2017
On coincidences among quadratic fields generated by the Shanks sequence. Zbl 1427.11111
Banks, William D.; Shparlinski, Igor E.
1
2017
Cancellations amongst Kloosterman sums. Zbl 1368.11092
Shparlinski, Igor E.; Zhang, Tianping
23
2016
Functional graphs of polynomials over finite fields. Zbl 1327.05323
Konyagin, Sergei V.; Luca, Florian; Mans, Bernard; Mathieson, Luke; Sha, Min; Shparlinski, Igor E.
13
2016
Products of small integers in residue classes and additive properties of Fermat quotients. Zbl 1414.11109
Harman, Glyn; Shparlinski, Igor E.
7
2016
Counting co-cyclic lattices. Zbl 1348.11056
Nguyen, Phong Q.; Shparlinski, Igor E.
5
2016
Cyclotomic coefficients: gaps and jumps. Zbl 1405.11032
Camburu, Oana-Maria; Ciolan, Emil-Alexandru; Luca, Florian; Moree, Pieter; Shparlinski, Igor E.
5
2016
Almost primes of the form \(\lfloor p^c \rfloor\). Zbl 1355.11099
Banks, William D.; Guo, Victor Z.; Shparlinski, Igor E.
5
2016
Bounds of double multiplicative character sums and gaps between residues of exponential functions. Zbl 1419.11004
Shparlinski, Igor E.; Yau, Kam-hung
4
2016
...and 484 more Documents
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Cited by 1,824 Authors

315 Shparlinski, Igor E.
73 Luca, Florian
61 Winterhof, Arne
33 Ostafe, Alina
28 Garaev, Moubariz Z.
25 Shkredov, Il’ya Dmitrievich
24 Banks, William David
21 Sha, Min
20 Chen, Zhixiong
17 Mérai, László
16 Ballet, Stéphane
16 Chang, Mei-Chu
16 Koh, Doowon
16 Konyagin, Sergeĭ Vladimirovich
16 von zur Gathen, Joachim
15 Bell, Jason P.
15 Bourgain, Jean
15 Gomez-Perez, Domingo
15 Niederreiter, Harald
14 Cilleruelo, Javier
14 Korolëv, Maksim Aleksandrovich
14 Sanna, Carlo
13 Kerr, Bryce
13 Meidl, Wilfried
13 Munsch, Marc
13 Vinh, Le Anh
12 Ahmadi, Omran
12 Bašić, Milan
12 Dubickas, Artūras
12 Gutierrez, Jaime
12 Panario, Daniel
12 Pollack, Paul
12 Wu, Jie
12 Zaharescu, Alexandru
11 Pham Van Thang
10 Farashahi, Reza Rezaeian
10 Zhang, Wenpeng
9 Cochrane, Todd
9 Ford, Kevin B.
9 Friedlander, John Benjamin
9 Gómez, Domingo
9 Kamlovskiĭ, Oleg Vital’evich
8 Chen, Changhao
8 Micheli, Giacomo
8 Shen, Chun-Yen
8 Voloch, José Felipe
8 Zhang, Tianping
7 Baier, Stephan
7 Cojocaru, Alina Carmen
7 Galbraith, Steven D.
7 García, Victor Cuauhtemoc
7 Guo, Victor Zhenyu
7 Hu, Lei
7 Ilić, Aleksandar
7 Macourt, Simon
7 Moree, Pieter
7 Murty, Maruti Ram
7 Reis, Lucas
7 Shteĭnikov, Yuriĭ Nikolaevich
7 Tibouchi, Mehdi
7 Wan, Daqing
7 Yau, Kam-hung
6 Blake, Ian F.
6 Cao, Xiwang
6 Cheng, Qi
6 Dartyge, Cécile
6 Du, Xiaoni
6 Gao, Shuhong
6 Ghioca, Dragos
6 Harvey, David
6 Karpinski, Marek
6 Lv, Xingxing
6 Ma, Jing
6 Mello, Jorge
6 Mohammadi, Ali
6 Naccache, David
6 Pappalardi, Francesco
6 Pomerance, Carl Bernard
6 Sander, Jürgen W.
6 Sárközy, András
6 Shani, Barak
6 Silverman, Joseph Hillel
6 Topuzoǧlu, Alev
6 Vergnaud, Damien
6 Wu, Chenhuang
6 Xu, Jun
6 Zhang, Wei
5 Aly, Hassan Y.
5 Bhattacharjya, Bikash
5 Chen, Yonggao
5 Cohen, Stephen D.
5 El-Mahassni, Edwin D.
5 Garton, Derek
5 Heyman, Randell
5 Ibeas, Álvar
5 Jones, Rafe
5 Lange, Tanja
5 Liu, Huaning
5 Liu, Kui
5 Mans, Bernard
...and 1,724 more Authors
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Cited in 261 Serials

138 Journal of Number Theory
104 Finite Fields and their Applications
63 International Journal of Number Theory
60 Designs, Codes and Cryptography
50 Proceedings of the American Mathematical Society
49 Bulletin of the Australian Mathematical Society
49 Mathematics of Computation
37 Acta Arithmetica
34 Linear Algebra and its Applications
31 Monatshefte für Mathematik
30 Journal of Symbolic Computation
27 Information Processing Letters
26 Mathematical Notes
25 Applicable Algebra in Engineering, Communication and Computing
21 Discrete Applied Mathematics
21 Periodica Mathematica Hungarica
21 Mathematika
21 Transactions of the American Mathematical Society
21 Indagationes Mathematicae. New Series
20 Theoretical Computer Science
20 Journal of Complexity
20 The Ramanujan Journal
17 Proceedings of the Steklov Institute of Mathematics
17 Cryptography and Communications
16 Functiones et Approximatio. Commentarii Mathematici
16 Journal de Théorie des Nombres de Bordeaux
16 Integers
15 Discrete Mathematics
15 Israel Journal of Mathematics
15 Experimental Mathematics
14 Journal of Algebra
14 Mathematische Zeitschrift
14 Journal of Mathematical Cryptology
14 Advances in Mathematics of Communications
13 Archiv der Mathematik
13 Canadian Mathematical Bulletin
11 Rocky Mountain Journal of Mathematics
11 Forum Mathematicum
10 Linear and Multilinear Algebra
10 Mathematical Proceedings of the Cambridge Philosophical Society
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Quantum Information Processing
10 Chebyshevskiĭ Sbornik
10 Research in Number Theory
9 Advances in Mathematics
9 Mathematische Annalen
9 Revista Matemática Iberoamericana
9 Journal of Mathematics
8 Michigan Mathematical Journal
8 Acta Mathematica Hungarica
8 SIAM Journal on Discrete Mathematics
8 Acta Mathematica Sinica. English Series
8 Matematicheskie Voprosy Kriptografii
7 Journal d’Analyse Mathématique
7 Applied Mathematics and Computation
7 Glasgow Mathematical Journal
7 Journal of the Australian Mathematical Society
6 Indian Journal of Pure & Applied Mathematics
6 Lithuanian Mathematical Journal
6 European Journal of Combinatorics
6 Applied Mathematics Letters
6 Computational Complexity
6 Journal of Mathematical Sciences (New York)
6 The Electronic Journal of Combinatorics
6 Journal of Discrete Mathematical Sciences & Cryptography
6 Science China. Mathematics
5 Journal of Mathematical Analysis and Applications
5 Journal of Mathematical Physics
5 Bulletin of the London Mathematical Society
5 Canadian Journal of Mathematics
5 Inventiones Mathematicae
5 Journal of Functional Analysis
5 Journal of the London Mathematical Society. Second Series
5 Pacific Journal of Mathematics
5 Algorithmica
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 Forum of Mathematics, Sigma
5 Research in the Mathematical Sciences
5 AIMS Mathematics
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 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Taiwanese Journal of Mathematics
4 Annals of Combinatorics
4 Algebra & Number Theory
4 Involve
4 Science China. Information Sciences
4 Prikladnaya Diskretnaya Matematika
3 Computers & Mathematics with Applications
3 Russian Mathematical Surveys
3 Czechoslovak Mathematical Journal
3 Information Sciences
3 Journal of Computer and System Sciences
3 Manuscripta Mathematica
...and 161 more Serials
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Cited in 50 Fields

1,434 Number theory (11-XX)
315 Information and communication theory, circuits (94-XX)
205 Combinatorics (05-XX)
166 Computer science (68-XX)
142 Algebraic geometry (14-XX)
87 Dynamical systems and ergodic theory (37-XX)
58 Field theory and polynomials (12-XX)
58 Numerical analysis (65-XX)
49 Linear and multilinear algebra; matrix theory (15-XX)
49 Group theory and generalizations (20-XX)
41 Quantum theory (81-XX)
36 Commutative algebra (13-XX)
23 Probability theory and stochastic processes (60-XX)
18 Harmonic analysis on Euclidean spaces (42-XX)
17 Convex and discrete geometry (52-XX)
11 Functions of a complex variable (30-XX)
10 Mathematical logic and foundations (03-XX)
10 Order, lattices, ordered algebraic structures (06-XX)
10 Functional analysis (46-XX)
8 Operations research, mathematical programming (90-XX)
7 Associative rings and algebras (16-XX)
7 Special functions (33-XX)
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6 Measure and integration (28-XX)
5 Topological groups, Lie groups (22-XX)
5 Partial differential equations (35-XX)
5 Abstract harmonic analysis (43-XX)
5 Geometry (51-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Nonassociative rings and algebras (17-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Approximations and expansions (41-XX)
4 Biology and other natural sciences (92-XX)
3 History and biography (01-XX)
3 Difference and functional equations (39-XX)
3 Operator theory (47-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Category theory; homological algebra (18-XX)
2 Ordinary differential equations (34-XX)
2 Algebraic topology (55-XX)
2 Statistics (62-XX)
1 General and overarching topics; collections (00-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of particles and systems (70-XX)
1 Fluid mechanics (76-XX)
1 Systems theory; control (93-XX)

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