Jean Bourgain

most citedSumsets of reciprocals in prime fields and multilinear Kloosterman sums

11 citations · 11 across the 2 of their papers we have counts for

collaborators

2 papers

math.NT2012★ 11 cited

Sumsets of reciprocals in prime fields and multilinear Kloosterman sums

J. Bourgain, M. Z. Garaev

We obtain new results on additive properties of the set $I^{- 1} = {x^{- 1} : x \in I}$ where $I$ is an arbitrary interval in the field of residue classes modulo a large pri…

math.NT2012

Multiplicative Congruences with Variables from Short Intervals

Jean Bourgain, Moubariz Z. Garaev, Sergei V. Konyagin +1

Recently, several bounds have been obtained on the number of solutions to congruences of the type $(x_{1} + s) ... (x_{ν} + s) \equiv (y_{1} + s) ... (y_{ν} + s) \neq \equiv 0 (mod p)$ modulo a prime…