Determination of a pair of newforms from the product of their twisted central values

dc.contributor.author	ANAMBY, PRAMATH	en_US
dc.contributor.author	Pal, Ritwik	en_US
dc.date.accessioned	2025-04-15T06:52:36Z
dc.date.available	2025-04-15T06:52:36Z
dc.date.issued	2024-12	en_US
dc.identifier.citation	Forum Mathematicum	en_US
dc.identifier.issn	0933-7741	en_US
dc.identifier.issn	1435-5337	en_US
dc.identifier.uri	https://doi.org/10.1515/forum-2023-0373	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/9537
dc.description.abstract	We show that a pair of newforms (f,g)(f,g) can be uniquely determined by the product of the central 𝐿-values of their twists. To achieve our goal, we prove an asymptotic formula for the average of the product of the central values of two twisted 𝐿-functions, L(1/2,f×χ)L(1/2,g×χψ)L⁢(1/2,f×χ)⁢L⁢(1/2,g×χ⁢ψ) , where (f,g)(f,g) is a pair of newforms. The average is taken over the primitive Dirichlet characters 𝜒 and 𝜓 of distinct prime moduli.	en_US
dc.language.iso	en	en_US
dc.publisher	De Gruyter	en_US
dc.subject	Central value	en_US
dc.subject	Unique determination	en_US
dc.subject	Simultaneous non-vanishing	en_US
dc.subject	Twisted average	en_US
dc.subject	2024	en_US
dc.title	Determination of a pair of newforms from the product of their twisted central values	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Forum Mathematicum	en_US
dc.publication.originofpublisher	Foreign	en_US