Sergei V. Konyagin

Discrete Mathematics and Combinatorics · 2000–2015

A researcher in the Science corpus: 14 papers; trusts 12 researchers and is trusted by 25 researchers here, as inferred from the citation graph.

Subfields

• Discrete Mathematics and Combinatorics — 28 citations into it; #266 of 2,017 by trust here, #126 by citations
• Algebra and Number Theory — 25 citations into it; #236 of 2,864 by trust here, #154 by citations
• Geometry and Topology — 14 citations into it; #1,811 of 7,422 by trust here, #1,119 by citations
• Applied Mathematics — 8 citations into it; #1,623 of 7,620 by trust here, #2,295 by citations
• Computational Theory and Mathematics — 8 citations into it; #11,393 of 12,182 by trust here, #9,804 by citations

Whom Sergei V. Konyagin trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Jean Bourgain
2. Ben Joseph Green
3. Tomasz Schoen
4. Ilya D. Shkredov
5. Terence Tao
6. Moubariz Z. Garaev
7. József Solymosi
8. Przemyslaw Wojtaszczyk
9. James Maynard
10. Stephen J. Dilworth

Who trusts Sergei V. Konyagin overall

1. Jean Bourgain
2. Vladimir N. Temlyakov
3. Harald Andrés Helfgott
4. Andreas Defant
5. Ilya D. Shkredov
6. Moubariz Z. Garaev
7. Oliver Roche-Newton
8. Terence Tao
9. Shkredov I.D.
10. M. Rudnev

Papers from Sergei V. Konyagin's perspective

Ordered by how strongly the researchers Sergei V. Konyagin trusts endorse each paper. Same corpus, a different order for every researcher.

1. Concentration of Points on Two and Three Dimensional Modular Hyperbolas and Applications
2. Linear equations in primes
3. MORE ON THE SUM-PRODUCT PHENOMENON IN PRIME FIELDS AND ITS APPLICATIONS
4. Large gaps between consecutive prime numbers
5. Dense clusters of primes in subsets (Compositio Mathematica)
6. New bounds for Gauss sums derived from kth powers
7. On the difference between consecutive primes
8. A relative Szemerédi theorem
9. Long gaps between primes
10. Product Sets of Rationals, Multiplicative Translates of Subgroups in Residue Rings, and Fixed Points of the Discrete Logarithm

Their papers

• On sum sets of sets having small product set (2015) — 67 citations
• Sieving by large integers and covering systems of congruences (2005) — 51 citations
• Large gaps between consecutive prime numbers (2014) — 80 citations
• Long gaps between primes (2014) — 98 citations
• On congruences with products of variables from short intervals and applications (2012) — 48 citations
• Product Sets of Rationals, Multiplicative Translates of Subgroups in Residue Rings, and Fixed Points of the Discrete Logarithm (2010) — 57 citations
• On the Divisibility of Fermat Quotients (2010) — 52 citations
• Estimates for the Number of Sums and Products and for Exponential Sums in Fields of Prime Order (2006) — 239 citations
• Estimates for the number of sums and products and for exponential sums over subgroups in fields of prime order (2003) — 105 citations
• Some doubly exponential sums over Z[m] (2002) — 54 citations
• Greedy Approximation with Regard to Bases and General Minimal Systems (2002) — 54 citations
• The Translation ½ in the Theory of Dirichlet Series (2001) — 74 citations
• On the statistical properties of Diffie-Hellman distributions (2000) — 92 citations
• New bounds for Gauss sums derived from kth powers (2000) — 171 citations