A note on signs of Fourier coefficients of two cusp forms

DOI10.1007/S12044-018-0420-5zbMath1448.11087arXiv1609.07938OpenAlexW2962928345WikidataQ129486595 ScholiaQ129486595MaRDI QIDQ1787173

Yanyan Li

Publication date: 4 October 2018

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.07938

zbMATH Keywords

modular formsFourier coefficientsRankin-Selberg \(L\)-functionsign changes

Mathematics Subject Classification ID

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

Related Items (2)

Sign changes in restricted coefficients of Hilbert modular forms ⋮ Sign changes of certain arithmetical function at prime powers

Cites Work

• A short note on sign changes
• Simultaneous sign change of Fourier-coefficients of two cusp forms
• On an open problem of Sankaranarayanan
• Oscillations of Fourier coefficients of modular forms
• On the signs of Fourier coefficients of cusp forms
• Behavior of automorphic \(L\)-functions at the center of the critical strip
• Sign changes of Fourier coefficients of cusp forms supported on prime power indices
• Signs of Fourier coefficients of two cusp forms of different weights
• The average behavior of Fourier coefficients of cusp forms over sparse sequences
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