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arXiv · 2507.08714

The Zsiflaw--Legeis theorem for arbitrary bases

Gautami Bhowmik·Yuta Suzuki
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Abstract

In this paper, we prove analogues of the Dirichlet theorem on arithmetic progressions and the Siegel--Walfisz theorem for the digital reverses of primes for arbitrary bases, which the authors obtained in the previous paper but only for large bases. The proof is based on a generalization of the result of Martin--Mauduit--Rivat (2014) on the exponential sums over primes with the so-called ``digital'' functions.

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Gautami Bhowmik, Yuta Suzuki. 2025-07-11. The Zsiflaw--Legeis theorem for arbitrary bases. https://arxiv.org/abs/2507.08714

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