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math.NT2021
The invariance of the type of a -palindrome
Daniel Tsai
The notion of a -palindrome is recently introduced by the author. Later, the author defined the notion of the type of a -palindrome with respect to a number which can…
math.NT2021★ 1 cited
Repeated concatenations in residue classes
Daniel Tsai
We give an algorithm to determine all the repeated concatenations, in a given base, of a natural number in a residue class. The author recently describes a particular sequence of $…
math.NT2021★ 2 cited
The fundamental period of a periodic phenomenon pertaining to -palindromes
Daniel Tsai
Natural numbers satisfying a certain unusual property are defined by the author in a previous note. Later, the author called such numbers -palindromic numbers and proved a perio…