Manami Roy

activity

20192022

most citedParamodular forms coming from elliptic curves

4 citations · 14 across the 8 of their papers we have counts for

collaborators

Showing math.NTShow all

9 papers · 1 filter

math.NT2022★ 3 cited

Dimension formulas for Siegel modular forms of level $4$

Manami Roy, Ralf Schmidt, Shaoyun Yi

We prove several dimension formulas for spaces of scalar-valued Siegel modular forms of degree $2$ with respect to certain congruence subgroups of level $4$ . In case of cusp forms,…

math.NT2022

Generalized Ramanujan-Sato Series Arising from Modular Forms

Angelica Babei, Lea Beneish, Manami Roy +3

Motivated by work of Chan, Chan, and Liu, we obtain a new general theorem which produces Ramanujan-Sato series for $1/ π$ . We then use it to construct explicit examples related to n…

math.NT2021

Classical and adelic Eisenstein series

Manami Roy, Ralf Schmidt, Shaoyun Yi

We carry out ``Hecke summation'' for the classical Eisenstein series $E_{k}$ in an adelic setting. The connection between classical and adelic functions is made by explicit calculati…

math.NT2021

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…

math.NT2021★ 4 cited

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 $T$ of a rational elliptic curve. For each $T$ , such that $E$ may have additive re…

math.NT2021

Congruences for dimensions of spaces of Siegel cusp forms and $4$ -core partitions

Chiranjit Ray, Manami Roy, Shaoyun Yi

Using the relationship between Siegel cusp forms of degree $2$ and cuspidal automorphic representations of $GSp (4, A_{Q})$ , we derive some congruences inv…

math.NT2021

The completed standard $L$ -function of modular forms on $G_{2}$

Fatma Çiçek, Giuliana Davidoff, Sarah Dijols +3

The goal of this paper is to provide a complete and refined study of the standard $L$ -functions $L (π, Std, s)$ for certain non-generic cuspidal automorphic representat…

math.NT2020★ 3 cited

On counting cuspidal automorphic representations for $GSp (4)$

Manami Roy, Ralf Schmidt, Shaoyun Yi

We find the number $s_{k} (p, Ω)$ of cuspidal automorphic representations of $GSp (4, A_{Q})$ with trivial central character such that the archimedean componen…

math.NT2019★ 4 cited

Paramodular forms coming from elliptic curves

Manami Roy

There is a lifting from a non-CM elliptic curve $E / Q$ to a paramodular form $f$ of degree $2$ and weight $3$ given by the symmetric cube map. We find the level of $f$ in a…

Dimension formulas for Siegel modular forms of level 4

Generalized Ramanujan-Sato Series Arising from Modular Forms

Classical and adelic Eisenstein series

Representations attached to elliptic curves with a non-trivial odd torsion point

Local data of rational elliptic curves with non-trivial torsion

Congruences for dimensions of spaces of Siegel cusp forms and 4-core partitions

The completed standard L-function of modular forms on G2​

On counting cuspidal automorphic representations for GSp(4)

Paramodular forms coming from elliptic curves

Dimension formulas for Siegel modular forms of level $4$

Congruences for dimensions of spaces of Siegel cusp forms and $4$ -core partitions

The completed standard $L$ -function of modular forms on $G_{2}$

On counting cuspidal automorphic representations for $GSp (4)$