Non-vanishing of theta components of Jacobi forms with level and an application

dc.contributor.author	ANAMBY, PRAMATH	en_US
dc.date.accessioned	2023-12-19T11:03:17Z
dc.date.available	2023-12-19T11:03:17Z
dc.date.issued	2023-11	en_US
dc.identifier.citation	International Journal of Number Theory, 20(02), 549-564.	en_US
dc.identifier.issn	1793-0421	en_US
dc.identifier.issn	1793-7310	en_US
dc.identifier.uri	https://doi.org/10.1142/S1793042124500295	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8354
dc.description.abstract	We prove that a nonzero Jacobi form of level N (an odd integer) and square-free index m(1)m(2) with m1\|N and (N, m(2)) = 1 has a nonzero theta component h mu with either (mu, 2m(1)m(2)) = 1 or (mu, 2m(1)m(2)) f (2)m(2). As an application, we prove that a nonzero Siegel cusp form F of degree 2 and an odd level N in the Atkin-Lehner type newspace is determined by fundamental Fourier coefficients up to a divisor of N.	en_US
dc.language.iso	en	en_US
dc.publisher	World Scientific Publishing Co Pte Ltd	en_US
dc.subject	Jacobi forms	en_US
dc.subject	theta components	en_US
dc.subject	Fourier coefficients	en_US
dc.subject	Siegel modular forms	en_US
dc.subject	non-vanishing	en_US
dc.subject	2023-DEC-WEEK3	en_US
dc.subject	TOC-DEC-2023	en_US
dc.subject	2023	en_US
dc.title	Non-vanishing of theta components of Jacobi forms with level and an application	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	International Journal of Number Theory	en_US
dc.publication.originofpublisher	Foreign	en_US