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Strong multiplicity one for Siegel cusp forms of degree two

  • Arvind Kumar ORCID logo EMAIL logo , Jaban Meher and Karam Deo Shankhadhar
Published/Copyright: August 26, 2021

Abstract

We prove strong multiplicity one results for Siegel eigenforms of degree two for the symplectic group Sp4().


Communicated by Jan Bruinier


Award Identifier / Grant number: CRG/2020/004147

Award Identifier / Grant number: ECR/2016/001359

Funding statement: The research of the second and the third authors was partially supported by the DST-SERB grants CRG/2020/004147 and ECR/2016/001359, respectively.

Acknowledgements

We would like to thank Prof. Eknath Ghate, Prof. Ameya Pitale, Dr. Sudhir Pujahari and Dr. Mihir Seth for some useful discussions. A part of the work was carried out when the first author was a postdoctoral fellow at the Tata Institute of Fundamental Research (TIFR), Mumbai. He would like to thank TIFR for the excellent working facilities. We would like to thank the referee for his careful reading and some useful suggestions which improved the presentation of the article.

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Received: 2020-11-29
Revised: 2021-07-14
Published Online: 2021-08-26
Published in Print: 2021-09-01

© 2021 Walter de Gruyter GmbH, Berlin/Boston

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