Most integers are not a sum of two palindromes

Fuente: arXiv
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Autore principale: Zakharov, Dmitrii
Natura: Preprint
Pubblicazione: 2024
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author Zakharov, Dmitrii
author_facet Zakharov, Dmitrii
contents For $g \ge 2$, we show that the number of positive integers at most $X$ which can be written as sum of two base $g$ palindromes is at most $\frac{X}{\log^c X}$. This answers a question of Baxter, Cilleruelo and Luca.
format Preprint
id arxiv_https___arxiv_org_abs_2402_10808
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Most integers are not a sum of two palindromes
Zakharov, Dmitrii
Number Theory
For $g \ge 2$, we show that the number of positive integers at most $X$ which can be written as sum of two base $g$ palindromes is at most $\frac{X}{\log^c X}$. This answers a question of Baxter, Cilleruelo and Luca.
title Most integers are not a sum of two palindromes
topic Number Theory
url https://arxiv.org/abs/2402.10808