Relations between cusp forms sharing Hecke eigenvalues

Dipendra Prasad; Ravi Raghunathan

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arXiv · 2007.14639

Relations between cusp forms sharing Hecke eigenvalues

Dipendra Prasad·Ravi Raghunathan

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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.

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Dipendra Prasad, Ravi Raghunathan. 2020-07-29. Relations between cusp forms sharing Hecke eigenvalues. https://arxiv.org/abs/2007.14639

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