Ap-ADIC HERMITIAN MAASS LIFT

DOI10.1017/S0017089518000071zbMath1469.11086arXiv1602.07987OpenAlexW2962779720MaRDI QIDQ4559611

Krzysztof Klosin, Tobias Berger

Publication date: 4 December 2018

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

Full work available at URL: https://arxiv.org/abs/1602.07987

zbMATH Keywords

\(p\)-adic analytic family of automorphic forms\(p\)-oldformsHida family of modular forms

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Congruences for modular and (p)-adic modular forms (11F33) Jacobi forms (11F50)

Cites Work

• On \(p\)-adic Hermitian Eisenstein series and \(p\)-adic Siegel cusp forms
• Eigenvarieties for reductive groups
• The Maaß space on the Hermitian half-space of degree 2
• The theory of Jacobi forms
• Bemerkung über Kongruenzuntergruppen der Modulgruppe \(n\)-ten Grades
• Class fields of abelian extensions of \(\mathbb Q\)
• Variation of Iwasawa invariants in Hida families
• Galois representations into \(\text{GL}_2(\mathbb Z_pX)\) attached to ordinary cusp forms.
• On ordinary \(\lambda\)-adic representations associated to modular forms
• An arithmetic of Hermitian modular forms of degree two
• Twists of newforms and pseudo-eigenvalues of \(W\)-operators
• On Saito-Kurokawa descent for congruence subgroups
• \(p\)-adic measures attached to Siegel modular forms
• \(p\)-adic families of Siegel modular cuspforms
• Pullbacks of Hermitian Maass lifts
• The Maass space for \(U(2,2)\) and the Bloch-Kato conjecture for the symmetric square motive of a modular form
• Saito-Kurokawa liftings of level \(N\) and practical construction of Jacobi forms
• The Iwasawa Main Conjectures for \(\mathrm{GL}_{2}\)
• The Iwasawa conjecture for totally real fields
• -ADIC EISENSTEIN SERIES AND -FUNCTIONS OF CERTAIN CUSP FORMS ON DEFINITE UNITARY GROUPS
• On the lifting of hermitian modular forms
• Newforms of half-integral weight.
• On construction of holomorphic cusp forms of half integral weight
• Über verallgemeinerte Hermitesche Modulgruppen.
• On p -adic families of Siegel cusp forms in the Maaß Spezialschar
• Familles p-adiques de formes automorphes pour GLn
• Modular Forms
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