Plus/minus \(p\)-adic \(L\)-functions for \(\mathrm{GL}_{2n}\)

DOI10.1007/S40316-021-00191-5OpenAlexW4205190515MaRDI QIDQ2701196

Rob Rockwood

Publication date: 27 April 2023

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.09375

zbMATH Keywords

Iwasawa theoryautomorphic formsP-adic L-functions

Mathematics Subject Classification ID

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) Iwasawa theory (11R23)

Cites Work

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• Analytic families of finite-slope Selmer groups
• A non-vanishing theorem for zeta functions of \(\mathrm{GL}_n\)
• \(p\)-adic Banach spaces and families of modular forms
• Iwasawa theory for elliptic curves at supersingular primes
• On the \(p\)-adic \(L\)-function of a modular form at a supersingular prime
• Automorphic induction and Leopoldt type conjectures for \(\text{GL}(n)\)
• Iwasawa theory for symmetric squares of non-\(p\)-ordinary eigenforms
• Generic transfer for general spin groups
• Iwasawa theory for modular forms at supersingular primes
• NON-ARCHIMEDEAN MEASURES CONNECTED WITH DIRICHLET SERIES
• L-functions of GL_2n: p-adic properties and non-vanishing of twists
• On the arithmetic of Shalika models and the critical values of L-functions for GL2n
• Rankin-Eisenstein classes for modular forms

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