@article{Phunphayap2023, 
author = {Phakhinkon Napp Phunphayap and Prapanpong Pongsriiam},
title = {A complete comparison for the number of palindromes in different bases},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {4},
pages = {9924-9932},
keywords = {palindrome, palindromic number, b-adic expansion, extremal order, sign change},
url = {https://www.sciopen.com/article/10.3934/math.2023502},
doi = {10.3934/math.2023502},
abstract = {Let    b and        b    1   be distinct positive integers larger than    1, and let        A          b        (  n  ) and        A                  b        1              (  n  ) be the number of palindromes in bases    b and        b    1   that are less than or equal to    n, respectively. In this article, we finish the comparative study of the functions        A    b    (  n  ) and        A                  b        1              (  n  ). As a result, we present the full picture of the asymptotic behavior of their difference.}
}