Counting relatively prime pairs of palindromes
Number Theory
2024-03-18 v2
Abstract
For a given base , a positive integer is called a palindrome if its base expansion reads the same backwards as forwards. In this paper, we give an asymptotic formula for the number of relatively prime pairs of palindromes of a fixed odd length and of any base , which solves an open problem proposed by Banks and Shparlinski (2005).
Cite
@article{arxiv.2311.15002,
title = {Counting relatively prime pairs of palindromes},
author = {Hirotaka Kobayashi and Yuta Suzuki and Ryota Umezawa},
journal= {arXiv preprint arXiv:2311.15002},
year = {2024}
}
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16 pages