M. Rudnev

activity

20052026

most citedNew results on sum-product type growth over fields

52 citations · 222 across the 27 of their papers we have counts for

collaborators

Showing 2010Show all

2 papers · 1 filter

math.CO2010

An improved sum-product inequality in fields of prime order

Misha Rudnev

This note improves the best known exponent 1/12 in the prime field sum-product inequality (for small sets) to 1/11, modulo a logarithmic factor.

math.CO2010★ 25 cited

An explicit incidence theorem in F_p

Harald Andres Helfgott, Misha Rudnev

Let $P = A \times A \subset F_{p} \times F_{p}$ , $p$ a prime. Assume that $P = A \times A$ has $n$ elements, $n < p$ . See $P$ as a set of points in the plane over $\mathbb…