Dipendra Prasad

activity

19982025

most citedSymplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups

302 citations · 471 across the 39 of their papers we have counts for

collaborators

Showing math.NTShow all

21 papers · 1 filter

math.NT2020

Relations between cusp forms sharing Hecke eigenvalues

Dipendra Prasad, Ravi Raghunathan

In this paper we consider the question of when the set of Hecke eigenvalues of a cusp form on $G L_{n} (A_{F})$ is contained in the set of Hecke eigenvalues of a cusp form on $G L_{m} (A_{F})$ …

math.NT2019★ 8 cited

Relating Tate-Shafarevich group of an elliptic curve with class group

Dipendra Prasad, Sudhanshu Shekhar

The paper formulates a precise relationship between the Tate-Shafarevich group of an elliptic curve $E$ over $Q$ with a quotient of the classgroup of $Q (E [p])$ …

math.NT2017

Restriction of representations of metaplectic $G L_{2} (F)$ to tori

Shiv Prakash Patel, Dipendra Prasad

Let $F$ be a non-Archimedean local field. We study the restriction of an irreducible admissible genuine representations of the two fold metaplectic cover $G L_{2} (F)$ of…

math.NT2016★ 4 cited

Distinguished representations for SL(n)

U. K. Anandavardhanan, Dipendra Prasad

For $E / F$ a quadratic extension of local fields, and $π$ an irreducible admissible generic representation of $S L_{n} (E)$ , we calculate the dimension of $H o m_{S L_{n} (F)} [π, C]$ and relat…

math.NT2016

Symplectic models for Unitary groups

Sarah Dijols, Dipendra Prasad

In analogy with the study of representations of $G L_{2 n} (F)$ distinguished by $S p_{2 n} (F)$ , where $F$ is a local field, in this paper we study representations of $U_{2 n} (F)$ distin…

math.NT2015★ 29 cited

A `relative' local Langlands correspondence