Moubariz Z. Garaev

Discrete Mathematics and Combinatorics · 2007–2012

A researcher in the Science corpus: 7 papers; trusts 14 researchers and is trusted by 17 researchers here, as inferred from the citation graph.

Subfields

• Discrete Mathematics and Combinatorics — 34 citations into it; #166 of 2,017 by trust here, #335 by citations
• Algebra and Number Theory — 18 citations into it; #239 of 2,864 by trust here, #469 by citations
• Artificial Intelligence — 12 citations into it
• Computational Theory and Mathematics — 11 citations into it
• Applied Mathematics — 6 citations into it; #4,261 of 7,620 by trust here, #4,482 by citations
• Geometry and Topology — 6 citations into it; #4,345 of 7,422 by trust here, #5,748 by citations

Whom Moubariz Z. Garaev trusts overall

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

1. Jean Bourgain
2. Glibichuk A A
3. József Solymosi
4. Nets Hawk Katz
5. Konyagin S V
6. A. Glibichuk
7. Sergei V. Konyagin
8. Chun-Yen Shen
9. Javier Cilleruelo
10. Henryk Iwaniec

Who trusts Moubariz Z. Garaev overall

1. Harald Andrés Helfgott
2. M. Rudnev
3. Javier Cilleruelo
4. Oliver Roche-Newton
5. Ilya D. Shkredov
6. Sophie Stevens
7. Igor E. Shparlinski
8. Derrick Hart
9. Sergei V. Konyagin
10. Chun-Yen Shen

Papers from Moubariz Z. Garaev's perspective

Ordered by how strongly the researchers Moubariz Z. Garaev 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. Analytic Number Theory (All the Math You Missed)
3. Additive properties of product sets in fields of prime order
4. Estimates for the number of sums and products and for exponential sums over subgroups in fields of prime order
5. Estimates for the Number of Sums and Products and for Exponential Sums in Fields of Prime Order
6. On a variant of sum-product estimates and explicit exponential sum bounds in prime fields (Mathematical Proceedings of the Cambridge Philosophical Society)
7. THE SUM-PRODUCT ESTIMATE FOR LARGE SUBSETS OF PRIME FIELDS
8. On the Number of Sums and Products
9. An Explicit Sum-Product Estimate in p
10. Additive Theory of Prime Numbers

Their papers

• On the concentration of points of polynomial maps and applications (2012) — 53 citations
• On congruences with products of variables from short intervals and applications (2012) — 48 citations
• Concentration of Points on Two and Three Dimensional Modular Hyperbolas and Applications (2010) — 68 citations
• An Explicit Sum-Product Estimate in p (2010) — 79 citations
• On a variant of sum-product estimates and explicit exponential sum bounds in prime fields (2009) — 118 citations
• On the size of the set A(A +  1) (2008) — 50 citations
• THE SUM-PRODUCT ESTIMATE FOR LARGE SUBSETS OF PRIME FIELDS (2007) — 95 citations