669 citations
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15 papers · 1 filter
Motives, Periods, and Functoriality
Pierre Deligne, A. Raghuram
Given a pure motive over with a multilinear algebraic structure on , and given a representation of the group respecting , we descri…
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…
On counting cuspidal automorphic representations for
Manami Roy, Ralf Schmidt, Shaoyun Yi
We find the number of cuspidal automorphic representations of with trivial central character such that the archimedean componen…
Paramodular forms coming from elliptic curves
Manami Roy
There is a lifting from a non-CM elliptic curve to a paramodular form of degree and weight given by the symmetric cube map. We find the level of in a…