Bombieri-Vinogradov Type Theorem for Sparse Sets of Moduli

Details Bombieri-Vinogradov Type Theorem for Sparse Sets of Moduli Bombieri-Vinogradov Type Theorem for Sparse Sets of Moduli

2006-02-07

arxiv.org/abs/math/0602116v4

Acta Arith., Vol. 125, No. 2, 2006, pp. 187-201.

Mathematics

Number Theory

11 Pages

Scientific paper

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 $p=am^2+1$ such
that $a\leq p^{5/9+\epsilon}$.

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