16 citations · 88 across the 64 of their papers we have counts for
4 papers · 2 filters
Fermat's polygonal number theorem for repeated generalized polygonal numbers
Soumyarup Banerjee, Manav Batavia, Ben Kane +5
In this paper, we consider sums of generalized polygonal numbers with repeats, generalizing Fermat's polygonal number theorem which was proven by Cauchy. In particular, we obtain t…
Regular ternary polygonal forms
Zilong He, Ben Kane
Inspired by Dickson's classification of regular ternary quadratic forms, we prove that there are no primitive regular -gonal forms when is sufficiently large. In order to do…
Interesting identities involving weighted representations of integers as sums of arbitrarily many squares
Min-Joo Jang, Ben Kane, Winfried Kohnen +1
In this paper, we obtain formulas for the number of representations of positive integers as sums of arbitrarily many squares (and other polygonal numbers) with a certain natural we…
An extension of Rohrlich's Theorem to the -function
Kathrin Bringmann, Ben Kane
In this paper, we extend Rohrlich's Theorem on the integral of logarithms of meromorphic functions to compute the inner product between such functions and polynomials in the -fu…