p -adic L functions and trivial zeroes

DOI10.1073/pnas.94.21.11118zbMath0896.11021OpenAlexW2056534584WikidataQ36256220 ScholiaQ36256220MaRDI QIDQ4372149

Bernadette Perrin-Riou

Publication date: 21 January 1998

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.94.21.11118

zbMATH Keywords

special valuestrivial zero\(p\)-adic \(L\)-function of the symmetric square of an elliptic curveGreenberg invariant

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Iwasawa theory (11R23)

Cites Work

• On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer
• On the behavior of \(p\)-adic \(L\)-functions at \(s=0\)
• Iwasawa theory of \(p\)-adic representations over a local field
• A finiteness theorem for the symmetric square of an elliptic curve
• A proof of the Mahler-Manin conjecture
• \(p\)-adic \(L\)-functions and \(p\)-adic periods of modular forms

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