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Comparing Hecke eigenvalues of Siegel eigenforms

  • Moni Kumari EMAIL logo
Published/Copyright: December 17, 2022

Abstract

This article deals with various kinds of quantitative results about the comparison between the normalized Hecke eigenvalues of two distinct Siegel cuspidal Hecke eigenforms for the full symplectic group of degree 2 which are not Saito–Kurokawa lifts. We also prove some simultaneous sign change results for their eigenvalues.

MSC 2010: 11F46; 11F30

Communicated by Jan Bruinier


Funding statement: The research was supported by the Israeli Science Foundation grant 1400/19.

Acknowledgements

The author is grateful to Kaisa Matömaki for the interesting and encouraging discussions used in Section 3 of the paper. The author thank the anonymous referee for a careful reading of the manuscript and for several suggestions that led to a substantial improvement in the quality of this article. The author would like to thank Professor Andre Reznikov for his constant support.

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Received: 2021-12-15
Revised: 2022-08-09
Published Online: 2022-12-17
Published in Print: 2023-01-01

© 2022 Walter de Gruyter GmbH, Berlin/Boston

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