On analytic properties of the standard zeta function attached to a vector-valued modular form
نویسندگان
چکیده
Abstract We proof a Garrett–Böcherer decomposition of vector-valued Siegel Eisenstein series $$E_{l,0}^2$$ El,02 genus 2 transforming with the Weil representation $${\text {Sp}}_2({\mathbb {Z}})$$ xmlns:mml="http://www.w3.org/1998/Math/MathML">Sp2(Z) on group ring $${\mathbb {C}}[(L'/L)^2]$$ xmlns:mml="http://www.w3.org/1998/Math/MathML">C[(L′/L)2] . show that standard zeta function associated to common eigenform f for can be meromorphically continued whole s -plane and it satisfies functional equation. The is based an integral this in terms
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ژورنال
عنوان ژورنال: Research in number theory
سال: 2022
ISSN: ['2363-9555', '2522-0160']
DOI: https://doi.org/10.1007/s40993-022-00368-z