The Zsiflaw--Legeis theorem for arbitrary bases
Number Theory
2025-07-14 v1
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.
Cite
@article{arxiv.2507.08714,
title = {The Zsiflaw--Legeis theorem for arbitrary bases},
author = {Gautami Bhowmik and Yuta Suzuki},
journal= {arXiv preprint arXiv:2507.08714},
year = {2025}
}
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35 pages