Hilbert cubes meet arithmetic sets

[摘要] We show that an additive Hilbert cube (in prime fields) of sufficiently large dimension always meets certain kinds of arithmetic sets, namely, product sets and reciprocal sets of sumsets satisfying certain technical conditions. (C) 2020 The Author(s). Published by Elsevier Inc.

[发布日期] 2020-12-01

[关键词] Hilbert cubes;Character sums