Theta block conjecture for paramodular forms of weight 2-Reference-Cited by-同舟云学术

Theta block conjecture for paramodular forms of weight 2

Published:2020-01-13 Issue:5 Volume:148 Page:1863-1878
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Gritsenko Valery,Wang Haowu

Abstract

In this paper we construct an infinite family of paramodular forms of weight 2 2 which are simultaneously Borcherds products and additive Jacobi lifts. This proves an important part of the theta block conjecture of Gritsenko–Poor–Yuen (2013) related to the most important infinite series of theta blocks of weight 2 2 and q q -order 1 1 . We also consider some applications of this result.

Funder

National Research University Higher School of Economics

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2020-148-05/S0002-9939-2020-14876-9/proc14876_AM.pdf

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