Extremal orders and races between palindromes in different bases

Extremal orders and races between palindromes in different bases

Let $ b \geq 2 $ and $ n \geq 1 $ be integers. Then $ n $ is said to be a palindrome in base $ b $ (or $ b $-adic palindrome) if the representation of $ n $ in base $ b $ reads the same backward as forward. Let $ A_b (n) $ be the number of $ b $-adic palindromes less than or equal to $ n $. In this...

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Bibliographic Details
Main Authors: Phakhinkon Phunphayap, Prapanpong Pongsriiam
Format: Article
Language:English
Published: AIMS Press 2022-01-01
Series:AIMS Mathematics
Subjects:
palindrome
palindromic number
extremal order
b-adic expansion
minimal order
maximal order
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022127?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2022127?viewType=HTML

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