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arXiv · 2311.15002

Counting relatively prime pairs of palindromes

Hirotaka Kobayashi·Yuta Suzuki·Ryota Umezawa
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Abstract

For a given base $g\ge2$, a positive integer is called a palindrome if its base $g$ 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 $g\ge2$, which solves an open problem proposed by Banks and Shparlinski (2005).

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Hirotaka Kobayashi, Yuta Suzuki, Ryota Umezawa. 2023-11-25. Counting relatively prime pairs of palindromes. https://arxiv.org/abs/2311.15002

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