Distribution of square-free palindromes
Number Theory
2026-03-31 v2
Abstract
An exponent of distribution 1/16 is established for square-free palindromes. The main input is an upper bound for the number of palindromes, in arithmetic progressions to large moduli, divisible by large squares. Our argument combines a simplifying reformulation with exponential-sum estimates, recent work on 6-almost-prime palindromes, and the large sieve with square moduli of Baier-Zhao.
Cite
@article{arxiv.2603.02549,
title = {Distribution of square-free palindromes},
author = {Aleksandr Tuxanidy},
journal= {arXiv preprint arXiv:2603.02549},
year = {2026}
}
Comments
minor corrections