English

On the distribution of sparse sequences in prime fields and applications

Number Theory 2010-08-26 v1

Abstract

In the present paper we investigate distributional properties of sparse sequences modulo almost all prime numbers. We obtain new results for a wide class of sparse sequences which in particular find applications on additive problems and the discrete Littlewood problem related to lower bound estimates of the L1L_1-norm of trigonometric sums.

Keywords

Cite

@article{arxiv.1008.4180,
  title  = {On the distribution of sparse sequences in prime fields and applications},
  author = {Victor C. Garcia},
  journal= {arXiv preprint arXiv:1008.4180},
  year   = {2010}
}
R2 v1 2026-06-21T16:04:48.214Z