Horizontal factorizations of certain Hasse-Weil zeta functions -- a remark on a paper of Taniyama

DOI10.4171/rsmup/128-5zbMath1276.11181arXiv1202.3274OpenAlexW2962796821WikidataQ114021374 ScholiaQ114021374MaRDI QIDQ1947823

Dimitri Wegner, Christopher Deninger

Publication date: 26 April 2013

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.3274

zbMATH Keywords

Artin \(L\)-seriesalgebraic torus\(\ell\)-adic representationsHasse-Weil zeta functionAbelian scheme

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Varieties over global fields (11G35) Zeta functions and (L)-functions of number fields (11R42) Arithmetic ground fields for abelian varieties (14K15)

Cites Work

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• Representation theory of \(p\)-adic groups and canonical bases
• Infinite product identities for \(L\)-functions
• \(L\)-functions of number fields and zeta functions of abelian varieties
• A remark on product of Dirichlet L-functions
• Resultants of Cyclotomic Polynomials

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