Simultaneous non-vanishing and sign changes of Fourier coefficients of modular forms

DOI10.1142/S1793042118501397zbMath1422.11086arXiv1804.09892OpenAlexW2963405635MaRDI QIDQ4582748

M. Ram Murty, Moni Kumari

Publication date: 24 August 2018

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

Full work available at URL: https://arxiv.org/abs/1804.09892

zbMATH Keywords

modular formsFourier coefficients of cusp formssimultaneous sign changes

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

Related Items (6)

The first simultaneous sign change for Fourier coefficients of Hecke-Maass forms ⋮ Sign changes and nonvanishing of Fourier coefficients of holomorphic cusp forms ⋮ On the first simultaneous sign change for Fourier coefficients associated with Hecke-Maass forms ⋮ On the first simultaneous sign change and non-vanishing of Fourier coefficients of cusp forms ⋮ The first simultaneous sign change and non-vanishing of Hecke eigenvalues of newforms ⋮ On the simultaneous sign changes of Hecke eigenvalues over an integral binary quadratic form

Cites Work

• Unnamed Item
• Non-vanishing and sign changes of Hecke eigenvalues for half-integral weight cusp forms
• Simultaneous sign change of Fourier-coefficients of two cusp forms
• Eigenvalues of Hecke operators on \(\text{SL}(2, \mathbb Z)\)
• L-series of Rankin type and their functional equations
• Modularity of the Rankin-Selberg \(L\)-series, and multiplicity one for \(\mathrm{SL}(2)\)
• Sums of absolute values of cusp form coefficients and their application
• Functional equations with multiple gamma factors and the average order of arithmetical functions
• ON SIGN CHANGES FOR ALMOST PRIME COEFFICIENTS OF HALF‐INTEGRAL WEIGHT MODULAR FORMS
• Distinguishing Hecke eigenforms
• Gaps between nonzero Fourier coefficients of cusp forms
• On the sign changes of coefficients of general Dirichlet series
• Signs of Fourier coefficients of two cusp forms of different weights
• ODD VALUES OF FOURIER COEFFICIENTS OF CERTAIN MODULAR FORMS
• Sign changes of Fourier coefficients of half-integral weight cusp forms

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