Relations between cusp forms sharing Hecke eigenvalues

Dipendra Prasad; Ravi Raghunathan

Relations between cusp forms sharing Hecke eigenvalues

Number Theory 2022-08-05 v2 Representation Theory

Authors: Dipendra Prasad , Ravi Raghunathan

Abstract

In this paper we consider the question of when the set of Hecke eigenvalues of a cusp form on $GL_n(A_F)$ is contained in the set of Hecke eigenvalues of a cusp form on $GL_m(A_F)$ for $n \leq m$ .This question is closely related to a question about finite dimensional representations of an abstract group, which also we consider in this work.

Keywords

automorphic representations hecke algebra

Cite

@article{arxiv.2007.14639,
  title  = {Relations between cusp forms sharing Hecke eigenvalues},
  author = {Dipendra Prasad and Ravi Raghunathan},
  journal= {arXiv preprint arXiv:2007.14639},
  year   = {2022}
}

Comments

To appear in the Electronic J. of the AMS, Representation Theory

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