Fourier expansions at cusps

DOI10.1007/s11139-019-00178-5zbMath1468.11099arXiv1807.00391OpenAlexW2974849901MaRDI QIDQ829781

François Brunault, Michael O. Neururer

Publication date: 6 May 2021

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

Full work available at URL: https://arxiv.org/abs/1807.00391

zbMATH Keywords

modular formsnewformsFourier coefficientscyclotomic extensionscuspsAtkin-Lehner operators

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Cyclotomic extensions (11R18)

Related Items (3)

Fourier coefficients of Hilbert modular forms at cusps ⋮ The Manin constant and the modular degree ⋮ Computing models for quotients of modular curves

Cites Work

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• On some arithmetic properties of modular forms of one and several variables
• \(p\)-adic interpolation of real analytic Eisenstein series
• Twists of newforms and pseudo-eigenvalues of \(W\)-operators
• Products of Eisenstein series and Fourier expansions of modular forms at cusps
• On the order of vanishing of newforms at cusps
• Structure theorems for modular subgroups
• MODULI INTERPRETATION OF EISENSTEIN SERIES
• The Normalizer Of Certain Modular Subgroups
• Toric modular forms of higher weight
• Les Schémas de Modules de Courbes Elliptiques
• Régulateurs modulaires explicites via la méthode de Rogers–Zudilin

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