4 citations · 14 across the 8 of their papers we have counts for
5 papers · 1 filter
Classical and adelic Eisenstein series
Manami Roy, Ralf Schmidt, Shaoyun Yi
We carry out ``Hecke summation'' for the classical Eisenstein series in an adelic setting. The connection between classical and adelic functions is made by explicit calculati…
Representations attached to elliptic curves with a non-trivial odd torsion point
Alexander J. Barrios, Manami Roy
We give a classification of the cuspidal automorphic representations attached to rational elliptic curves with a non-trivial torsion point of odd order. Such elliptic curves are pa…
Local data of rational elliptic curves with non-trivial torsion
Alexander J. Barrios, Manami Roy
By Mazur's Torsion Theorem, there are fourteen possibilities for the non-trivial torsion subgroup of a rational elliptic curve. For each , such that may have additive re…
Congruences for dimensions of spaces of Siegel cusp forms and -core partitions
Chiranjit Ray, Manami Roy, Shaoyun Yi
Using the relationship between Siegel cusp forms of degree and cuspidal automorphic representations of , we derive some congruences inv…
The completed standard -function of modular forms on
Fatma Çiçek, Giuliana Davidoff, Sarah Dijols +3
The goal of this paper is to provide a complete and refined study of the standard -functions for certain non-generic cuspidal automorphic representat…