Eigenform product identities of genus two Siegel modular forms of general congruence level-Reference-Cited by-同舟云学术

Eigenform product identities of genus two Siegel modular forms of general congruence level

Published:2023-05-22 Issue:08 Volume:19 Page:1897-1915
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Brown Jim¹^ORCID,Dell Justine²,Griesbach Hanna Noelle³,Hernandez Amanda⁴

Affiliation:

1. Department of Mathematics, Occidental College, 1600 Campus Road, Los Angeles, CA 90042, USA

2. Department of Mathematics, University of California at San Diego 9500 Gilman Drive, La Jolla, CA 92093-0112, USA

3. Department of Mathematics and Statistics, 116 Petty Building PO Box 26170 Greensboro, NC 27402-6170, USA

4. Department of Mathematics, Brown University Providence, Rhode Island 02912, USA

Abstract

Given two eigenforms, it is a natural question to ask if the product of the eigenforms is again an eigenform. In the case of elliptic modular forms, this was answered in the full level case by Duke and Ghate and in the general level case by Johnson. In this paper, we consider the case of genus two Siegel modular forms with general congruence level.

Funder

Division of Mathematical Sciences

Publisher

World Scientific Pub Co Pte Ltd

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042123500914

Reference13 articles.

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4. Eigenform product identities for degree two Siegel modular forms

5. Fourier coefficients of degree two Siegel–Eisenstein series with trivial character at squarefree level