Critical L-values of Level p Newforms (mod p)

DOI10.1093/imrn/rnp180zbMath1196.11070OpenAlexW2012374768MaRDI QIDQ3565160

Scott Ahlgren, Jeremy Rouse

Publication date: 2 June 2010

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrn/rnp180

zbMATH Keywords

newformelliptic curveTate-Shafarevich groupBirch and Swinnerton-Dyer conjecture\(L\)-value

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

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Congruences for level $1$ cusp forms of half-integral weight

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