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Bombieri-Vinogradov Type Theorem for Sparse Sets of Moduli

Number Theory 2015-06-26 v4

Abstract

In this paper, we establish theorems of Bombieri-Vinogradov type and Barban-Davenport-Halberstam type for sparse sets of moduli. As an application, we prove that there exist infinitely many primes of the form p=am2+1p=am^2+1 such that ap5/9+ϵa\leq p^{5/9+\epsilon}.

Keywords

Cite

@article{arxiv.math/0602116,
  title  = {Bombieri-Vinogradov Type Theorem for Sparse Sets of Moduli},
  author = {Stephan Baier and Liangyi Zhao},
  journal= {arXiv preprint arXiv:math/0602116},
  year   = {2015}
}

Comments

11 Pages

R2 v1 2026-07-22T17:31:09.382Z