On multiplicativity of Fourier coefficients at cusps other than infinity

DOI10.1007/S11139-013-9541-8zbMath1322.11033arXiv1102.2295OpenAlexW1980332443MaRDI QIDQ457018

Joseph Hundley

Publication date: 26 September 2014

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

Full work available at URL: https://arxiv.org/abs/1102.2295

zbMATH Keywords

cuspFourier coefficientsHecke eigenvalueMaass-Hecke newformminimal level

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

Uses Software

• ecdata

Cites Work

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• Rankin's method in the case of level 4q and its application to the Doi- Naganuma lifting
• On the Fourier coefficients of automorphic forms at various cusps and some applications to Rankin's convolution
• Fourier expansions of \(\mathrm{GL}(2)\) newforms at various cusps
• On modular signs

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