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Bombieri-Vinogradov Type Theorem for Sparse Sets of Moduli

Stephan Baier·Liangyi Zhao
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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 $p=am^2+1$ such that $a\leq p^{5/9+ε}$.

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BibTeXRIS

Stephan Baier, Liangyi Zhao. 2006-10-09. Bombieri-Vinogradov Type Theorem for Sparse Sets of Moduli. https://doi.org/10.4064/aa125-2-5

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