Quadratic base change and resonance sums for holomorphic cusp forms on \(\Gamma_0(N)\)

DOI10.1016/j.jnt.2024.05.011MaRDI QIDQ6585296

Timothy L. Gillespie

Publication date: 9 August 2024

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

holomorphic cusp formquadratic base changeVoronoi's summation formularesonance sumMeier-G function

Mathematics Subject Classification ID

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

Cites Work

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• Computing the Laplace eigenvalue and level of Maass cusp forms
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• Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
• ASYMPTOTIC VORONOI'S SUMMATION FORMULAS AND THEIR DUALITY FOR SL₃(ℤ)
• Resonance of automorphic forms for 𝐺𝐿(3)
• Problems in the theory of automorphic forms to Salomon Bochner in gratitude
• Number Theory
• Low lying zeros of families of \(L\)-functions
• Resonance sums for Rankin-Selberg products of \(\mathrm{SL}_m(\mathbb{Z})\) Maass cusp forms

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