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math.NT2026
Hecke-type action on higher order Herglotz-Zagier function
Soumyarup Banerjee, Riya Mandal
In a seminal paper, Lewis and Zagier constructed variety of functions satisfying the three-term functional equations. In this article, we consider the first example among them and…
math.NT2024
Sums of generalized polygonal numbers of almost prime "length"
Soumyarup Banerjee, Ben Kane, Daejun Kim
In this paper, we consider sums of three generalized -gonal numbers whose parameters are restricted to integers with a bounded number of prime divisors. With some restrictions o…