J. Harrington

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20142026

most citedSum index and difference index of graphs

6 citations · 19 across the 19 of their papers we have counts for

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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 $b \geq 2$ , we call a positive integer $b$ -anti-Niven if it is relatively prime to the sum of the digits in its base- $b$ representation. In this article, we investiga…

math.NT2023★ 2 cited

Every arithmetic progression contains infinitely many $b$ -Niven numbers

Joshua Harrington, Matthew Litman, Tony W. H. Wong

For an integer $b \geq 2$ , a positive integer is called a $b$ -Niven number if it is a multiple of the sum of the digits in its base- $b$ representation. In this article, we show that…

Arithmetic progressions of integers that are relatively prime to their digital sums

Every arithmetic progression contains infinitely many b-Niven numbers

Every arithmetic progression contains infinitely many $b$ -Niven numbers