On constant terms of Eisenstein series

DOI10.4064/aa200621-24-2zbMath1483.11088arXiv2010.00650OpenAlexW3202936960MaRDI QIDQ5030085

Mahesh Kakde, Samit Dasgupta

Publication date: 15 February 2022

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.00650

zbMATH Keywords

Eisenstein seriesHilbert modular formsordinary forms

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (4)

On the Brumer-Stark conjecture and refinements ⋮ On the minus component of the equivariant Tamagawa number conjecture for \(\mathbb{G}_m\) ⋮ Diagonal restrictions of \(p\)-adic Eisenstein families ⋮ On the Brumer-Stark conjecture

Cites Work

• Hilbert modular forms and the Gross-Stark conjecture
• On \(p\)-adic representations for totally real fields
• On p-adic Hecke algebras for \(GL_ 2\) over totally real fields
• Values of abelian \(L\)-functions at negative integers over totally real fields
• On some arithmetic properties of modular forms of one and several variables
• A modular construction of unramified p-extensions of \(\mathbb{Q}(\mu_p)\)
• The special values of the zeta functions associated with Hilbert modular forms
• Newform theory for Hilbert Eisenstein series
• Constant terms of Eisenstein series over a totally real field

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