-ADIC EISENSTEIN SERIES AND -FUNCTIONS OF CERTAIN CUSP FORMS ON DEFINITE UNITARY GROUPS

DOI10.1017/S1474748014000395zbMath1404.11051arXiv1404.7153OpenAlexW3102245131MaRDI QIDQ3178577

Xin Wan, Ellen E. Eischen

Publication date: 14 July 2016

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.7153

zbMATH Keywords

Eisenstein series\(p\)-adic \(L\)-functions\(p\)-adic automorphic formsautomorphic forms on unitary groupsKlingen-Eisenstein series

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Other groups and their modular and automorphic forms (several variables) (11F55) Congruences for modular and (p)-adic modular forms (11F33) (p)-adic theory, local fields (11F85) Fourier coefficients of automorphic forms (11F30) Arithmetic aspects of modular and Shimura varieties (11G18) Zeta functions and (L)-functions (11S40)

Related Items (8)

Iwasawa–Greenberg main conjecture for nonordinary modular forms and Eisenstein congruences on GU(3,1) ⋮ Differential operators and families of automorphic forms on unitary groups of arbitrary signature ⋮ Ap-ADIC HERMITIAN MAASS LIFT ⋮ Non-cuspidal Hida theory for Siegel modular forms and trivial zeros of \(p\)-adic \(L\)-functions ⋮ -ADIC -FUNCTIONS FOR ORDINARY FAMILIES ON SYMPLECTIC GROUPS ⋮ An introduction to Eisenstein measures ⋮ Nearly overconvergent Siegel modular forms ⋮ Ordinary families of Klingen Eisenstein series on symplectic groups

Cites Work

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• \(p\)-adic differential operators on automorphic forms on unitary groups
• A family of Calabi-Yau varieties and potential automorphy. II.
• Ordinary \(p\)-adic Eisenstein series and \(p\)-adic \(L\)-functions for unitary groups
• \(p\)-adic \(L\)-functions for CM fields
• A family of Calabi-Yau varieties and potential automorphy
• Eisenstein series on Shimura varieties
• Two variable \(p\)-adic \(L\) functions attached to eigenfamilies of positive slope
• A Simple Proof of Rationality of Siegel-Weil Eisenstein Series

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