Twist-minimal trace formula for holomorphic cusp forms

DOI10.1007/s40993-021-00302-9zbMath1492.11101arXiv2101.05663OpenAlexW4206134081WikidataQ114218080 ScholiaQ114218080MaRDI QIDQ2071041

Kieran Child

Publication date: 25 January 2022

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

Full work available at URL: https://arxiv.org/abs/2101.05663

zbMATH Keywords

modular formstrace formulaHecke operatorFourier coefficientholomorphic cusp formsConrey labeltwist-minimal

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Hecke-Petersson operators, differential operators (one variable) (11F25)

Uses Software

• ecdata

Cites Work

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• Elliptic Modular Forms and Their Applications
• Twist‐minimal trace formulas and the Selberg eigenvalue conjecture
• Explicit GL(2) trace formulas and uniform, mixed Weyl laws
• Modular Forms

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