Fourier coefficients of Hilbert modular forms at cusps

DOI10.1007/s11139-023-00703-7zbMath1529.11068arXiv2203.14096OpenAlexW4362665067MaRDI QIDQ6164981

Tim Davis

Publication date: 28 July 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.14096

zbMATH Keywords

Hilbert modular formsFourier coefficientsautomorphic representations

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Cites Work

• Fourier expansions at cusps
• The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004
• On some arithmetic properties of modular forms of one and several variables
• The special values of the zeta functions associated with Hilbert modular forms
• Products of Eisenstein series and Fourier expansions of modular forms at cusps
• On the order of vanishing of newforms at cusps
• Notes on the arithmetic of Hilbert modular forms
• Large Values of Newforms on GL(2) with Highly Ramified Central Character
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