EXCEPTIONAL ZEROES OF P-ADIC L-FUNCTIONS OVER NON-ABELIAN FIELD EXTENSIONS

DOI10.1017/S0017089515000245zbMath1410.11088MaRDI QIDQ2806140

Daniel Delbourgo

Publication date: 13 May 2016

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

elliptic curves\(L\)-functionsMazur-Tate-Teitelbaum conjecture

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) 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) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Cites Work

• Iwasawa L-functions for multiplicative abelian varieties
• On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer
• Non-abelian congruences between \(L\)-values of elliptic curves
• On p-adic Hecke algebras for \(GL_ 2\) over totally real fields
• On ordinary \(\lambda\)-adic representations associated to modular forms
• Values of abelian \(L\)-functions at negative integers over totally real fields
• The special values of the zeta functions associated with Hilbert modular forms
• \(p\)-adic \(L\)-functions of Hilbert modular forms
• Arithmetic of Weil curves
• A proof of the Mahler-Manin conjecture
• \(p\)-adic \(L\)-functions and \(p\)-adic periods of modular forms
• On special zeros of \(p\)-adic \(L\)-functions of Hilbert modular forms
• Hecke fields of analytic families of modular forms
• The exceptional zero conjecture for Hilbert modular forms
• CONVOLUTIONS OF HILBERT MODULAR FORMS AND THEIR NON-ARCHIMEDEAN ANALOGUES
• NON-ARCHIMEDEAN MEASURES CONNECTED WITH DIRICHLET SERIES

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