An Elementary Proof of a Weak Exceptional Zero Conjecture

DOI10.4153/CJM-2004-018-4zbMath1060.11030OpenAlexW1967925335WikidataQ123001185 ScholiaQ123001185MaRDI QIDQ4820514

Louisa Orton

Publication date: 15 October 2004

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-2004-018-4

zbMATH Keywords

modular form\(p\)-adic \(L\)-functionmodular symbolexceptional zero\(L_p\)-invariant

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11)

Related Items (9)

\(p\)-adic \(L\)-functions of Hilbert cusp forms and the trivial zero conjecture ⋮ Big principal series, -adic families and -invariants ⋮ A Shimura-Shintani correspondence for rigid analytic cocycles of higher weight ⋮ On special zeros of \(p\)-adic \(L\)-functions of Hilbert modular forms ⋮ Automorphic \(\mathcal{L} \)-invariants for reductive groups ⋮ Exceptional zeros and $\mathcal {L}$-invariants of Bianchi modular forms ⋮ Functoriality of automorphic \(L\)-invariants and applications ⋮ Derived Hecke algebra and automorphic ℒ-invariants ⋮ A control theorem for \(p\)-adic automorphic forms and Teitelbaum's \(\mathcal{L} \)-invariant

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