3 papers
math.NT2026
Laurent coefficients of Zagier-type zeta function {à} la Ishibashi and arithmetic aspects of extended Ramanujan period function
Soumyarup Banerjee, Riya Mandal
One of the remarkable contributions of Don Zagier was the Kronecker limit formula for a real quadratic field, where he connects the double series to the…
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.NT2026
Weighted averages of -adic hypergeometric functions and traces of Frobenius of elliptic curves
Riya Mandal, Neelam Saikia
In this paper, we aim to study traces of Frobenius of certain one parameter families of elliptic curves and their relationships with -adic hypergeometric functions. For example,…