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math.NT2023
Arithmetic progressions of integers that are relatively prime to their digital sums
Ryan Blau, Joshua Harrington, Sarah Lohrey +2
For an integer , we call a positive integer -anti-Niven if it is relatively prime to the sum of the digits in its base- representation. In this article, we investiga…
math.NT2023
Sums of Reciprocals of Recurrence Relations
Hao Cui, Xiaoyu Cui, Sophia C. Davis +7
There is a growing literature on sums of reciprocals of polynomial functions of recurrence relations with constant coefficients and fixed depth, such as Fibonacci and Tribonacci nu…