Upper triangular operators and \(p\)-adic \(L\)-functions

DOI10.1134/S2070046611020014zbMath1279.11089OpenAlexW2016072575MaRDI QIDQ1760260

Iván Blanco-Chacón

Publication date: 13 November 2012

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046611020014

zbMATH Keywords

elliptic curvesmodular forms\(p\)-adic \(L\)-functionsupper triangular operatorscyclotomic modular symboldsnon-vanishing results

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11) Zeta and (L)-functions in characteristic (p) (11M38)

Cites Work

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• On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer
• L-functions and division towers
• The Weierstrass-Stone approximation theorem for \(p\)-adic \(C^ n\)- functions
• On the \(p\)-adic \(L\)-function of a modular form at a supersingular prime
• Arithmetic of Weil curves

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