Igor E. Shparlinski

9.3k total citations
518 papers, 3.8k citations indexed

About

Igor E. Shparlinski is a scholar working on Algebra and Number Theory, Artificial Intelligence and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Igor E. Shparlinski has authored 518 papers receiving a total of 3.8k indexed citations (citations by other indexed papers that have themselves been cited), including 314 papers in Algebra and Number Theory, 272 papers in Artificial Intelligence and 157 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Igor E. Shparlinski's work include Analytic Number Theory Research (309 papers), Coding theory and cryptography (252 papers) and Algebraic Geometry and Number Theory (107 papers). Igor E. Shparlinski is often cited by papers focused on Analytic Number Theory Research (309 papers), Coding theory and cryptography (252 papers) and Algebraic Geometry and Number Theory (107 papers). Igor E. Shparlinski collaborates with scholars based in Australia, United States and Mexico. Igor E. Shparlinski's co-authors include William D. Banks, Sergeĭ Konyagin, John Friedlander, Florian Luca, Harald Niederreiter, Alina Ostafe, Arne Winterhof, Moubariz Z. Garaev, Jean Bourgain and Phong Q. Nguyễn and has published in prestigious journals such as IEEE Transactions on Information Theory, Mathematics of Computation and Computer Physics Communications.

In The Last Decade

Igor E. Shparlinski

467 papers receiving 3.4k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Igor E. Shparlinski Australia 26 2.1k 1.8k 1.0k 982 789 518 3.8k
Carl Pomerance United States 28 766 0.4× 1.4k 0.8× 591 0.6× 731 0.7× 374 0.5× 182 2.5k
Henri Cohen France 20 932 0.4× 984 0.6× 358 0.3× 1.3k 1.4× 533 0.7× 79 2.7k
Wieb Bosma Australia 9 1.9k 0.9× 657 0.4× 1.7k 1.7× 1.8k 1.8× 330 0.4× 32 3.8k
Lawrence C. Washington United States 15 862 0.4× 1.4k 0.8× 519 0.5× 2.3k 2.3× 310 0.4× 73 3.4k
Rudolf Lidl Australia 14 2.2k 1.0× 292 0.2× 464 0.4× 270 0.3× 694 0.9× 33 2.9k
Henning Stichtenoth Germany 26 1.8k 0.8× 193 0.1× 597 0.6× 903 0.9× 302 0.4× 72 2.3k
Kenneth Ireland Canada 6 705 0.3× 794 0.4× 487 0.5× 768 0.8× 134 0.2× 9 2.0k
Helmut Prodinger South Africa 21 819 0.4× 490 0.3× 795 0.8× 413 0.4× 104 0.1× 291 2.2k
Michael Pohst Germany 19 748 0.4× 338 0.2× 178 0.2× 893 0.9× 225 0.3× 106 2.3k
D. R. Heath‐Brown United States 32 534 0.3× 3.7k 2.1× 1.2k 1.2× 2.0k 2.1× 86 0.1× 143 5.0k

Countries citing papers authored by Igor E. Shparlinski

Since Specialization
Citations

This map shows the geographic impact of Igor E. Shparlinski's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Igor E. Shparlinski with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Igor E. Shparlinski more than expected).

Fields of papers citing papers by Igor E. Shparlinski

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Igor E. Shparlinski. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Igor E. Shparlinski. The network helps show where Igor E. Shparlinski may publish in the future.

Co-authorship network of co-authors of Igor E. Shparlinski

This figure shows the co-authorship network connecting the top 25 collaborators of Igor E. Shparlinski. A scholar is included among the top collaborators of Igor E. Shparlinski based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Igor E. Shparlinski. Igor E. Shparlinski is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Shparlinski, Igor E., et al.. (2025). Number of characteristic polynomials of matrices with bounded height. Linear Algebra and its Applications. 712. 1–8. 1 indexed citations
2.
Shparlinski, Igor E., et al.. (2025). Exponential sums over integers without large prime divisors. Monatshefte für Mathematik. 209(2). 241–261.
3.
Shkredov, Ilya D. & Igor E. Shparlinski. (2025). On the determinants of matrices with elements from arbitrary sets. Mathematika. 71(2).
4.
Rivat, Joël, et al.. (2024). Reversible primes. Journal of the London Mathematical Society. 109(3). 1 indexed citations
5.
Baker, Roger C., Changhao Chen, & Igor E. Shparlinski. (2023). Bounds on the norms of maximal operators on Weyl sums. Journal of Number Theory. 256. 329–353.
6.
Shparlinski, Igor E. & C. L. Stewart. (2021). Counting solvable 𝑆-unit equations. Proceedings of the American Mathematical Society. 149(12). 5119–5129.
7.
Pakovich, Fedor & Igor E. Shparlinski. (2020). Level curves of rational functions and unimodular points on rational curves.. UNSWorks (University of New South Wales, Sydney, Australia). 1 indexed citations
8.
Shparlinski, Igor E.. (2019). Orders of points in families of elliptic curves. Proceedings of the American Mathematical Society. 148(6). 2371–2377. 1 indexed citations
9.
Ivanyos, Gábor, Marek Karpiński, Miklós Sántha, Nitin Saxena, & Igor E. Shparlinski. (2015). Polynomial Interpolation and Identity Testing from High Powers over\n Finite Fields. arXiv (Cornell University). 1 indexed citations
10.
Shparlinski, Igor E. & Andrew V. Sutherland. (2015). On the distribution of Atkin and Elkies primes for reductions of elliptic curves on average. LMS Journal of Computation and Mathematics. 18(1). 308–322. 5 indexed citations
11.
Shparlinski, Igor E., et al.. (2015). Congruences with intervals and subgroups modulo a prime. CINECA IRIS Institutial Research Information System (University of Genoa). 1 indexed citations
12.
Shparlinski, Igor E., et al.. (2014). Upper and Lower Bounds for Higher Moments of Theta Functions. CINECA IRIS Institutial Research Information System (University of Genoa). 2 indexed citations
13.
Shparlinski, Igor E.. (2011). BOUNDS OF MULTIPLICATIVE CHARACTER SUMS WITH FERMAT QUOTIENTS OF PRIMES. Bulletin of the Australian Mathematical Society. 83(3). 456–462. 22 indexed citations
14.
Fouvry, Étienne, Florian Luca, Francesco Pappalardi, & Igor E. Shparlinski. (2011). Counting dihedral and quaternionic extensions. Transactions of the American Mathematical Society. 363(6). 3233–3253. 1 indexed citations
15.
Friedlander, John, Ke Гонг, & Igor E. Shparlinski. (2010). Character sums over shifted primes. Mathematical Notes. 88(3-4). 585–598. 6 indexed citations
16.
Iosevich, Alex, Igor E. Shparlinski, & Maosheng Xiong. (2009). Sets with integral distances in finite fields. Transactions of the American Mathematical Society. 362(4). 2189–2204. 12 indexed citations
17.
Heath‐Brown, D. R., William D. Banks, M. Z. Garaev, & Igor E. Shparlinski. (2008). Density of non-residues in Burgess-type intervals and applications. Oxford University Research Archive (ORA) (University of Oxford). 10 indexed citations
18.
Gathen, Joachim von zur, Igor E. Shparlinski, & Henning Stichtenoth. (2005). Finite Fields: Theory and Applications. Oberwolfach Reports. 1(4). 2913–2970.
19.
Niederreiter, Harald & Igor E. Shparlinski. (2003). ON THE DISTRIBUTION OF POWER RESIDUES AND PRIMITIVE ELEMENTS IN SOME NONLINEAR RECURRING SEQUENCES. Bulletin of the London Mathematical Society. 35(4). 522–528. 4 indexed citations
20.
Shparlinski, Igor E.. (1993). On bivariate polynomial factorization over finite fields. Mathematics of Computation. 60(202). 787–791. 4 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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