Manami Roy

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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 calculation…

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…

Classical and adelic Eisenstein series

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

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