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arXiv · 2212.05576

A Bombieri-Vinogradov-type theorem for moduli with small radical

Stephan Baier·Sudhir Pujahari
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Abstract

In this article, we extend our recent work on a Bombieri-Vinogradov-type theorem for sparse sets of prime powers $p^N\le x^{1/4-\varepsilon}$ with $p\le (\log x)^C$ to sparse sets of moduli $s\le x^{1/3-\varepsilon}$ with radical rad$(s)\le x^{9/40}$. To derive our result, we combine our previous method with a Bombieri-Vinogradov-type theorem for general moduli $s\le x^{9/40}$ obtained by Roger Baker.

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Stephan Baier, Sudhir Pujahari. 2022-12-11. A Bombieri-Vinogradov-type theorem for moduli with small radical. https://arxiv.org/abs/2212.05576

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