Consequences of functional equations for pairs of \(p\)-adic \(L\)-functions

DOI10.1007/S12188-019-00208-5zbMath1469.11459arXiv1906.08377OpenAlexW2978581601MaRDI QIDQ2283814

Yanyan Li

Publication date: 13 January 2020

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.08377

zbMATH Keywords

functional equationIwasawa invariants\(p\)-adic \(L\)-functionBirch and Swinnerton-Dyer conjecturesupersingular reduction

Mathematics Subject Classification ID

(L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23) Zeta functions and (L)-functions (11S40)

Related Items (1)

Consequences of functional equations for pairs of \(p\)-adic \(L\)-functions

Cites Work

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• Iwasawa theory for elliptic curves at supersingular primes: a pair of Main Conjectures
• On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer
• On the \(p\)-adic \(L\)-function of a modular form at a supersingular prime
• Consequences of functional equations for pairs of \(p\)-adic \(L\)-functions
• On pairs of \(p\)-adic \(L\)-functions for weight-two modular forms
• Consequences of the functional equation of the \(p\)-adic \(L\)-function of an elliptic curve
• The sub-leading coefficient of the L-function of an elliptic curve

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