The first simultaneous sign change and non-vanishing of Hecke eigenvalues of newforms

DOI10.1016/j.jnt.2018.12.002zbMath1423.11083arXiv1801.10590OpenAlexW2963028922WikidataQ128552431 ScholiaQ128552431MaRDI QIDQ669222

Biplab Paul, Balesh Kumar, Sanoli Gun

Publication date: 20 March 2019

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

Full work available at URL: https://arxiv.org/abs/1801.10590

zbMATH Keywords

newformsRankin-Selberg method$\mathfrak{B}$-free numbersfirst simultaneous sign changesimultaneous non-vanishing

Mathematics Subject Classification ID

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

Related Items (5)

Sign changes and nonvanishing of Fourier coefficients of holomorphic cusp forms ⋮ On the first simultaneous sign change and non-vanishing of Fourier coefficients of cusp forms ⋮ Simultaneous behaviour of the Fourier coefficients of two Hilbert modular cusp forms ⋮ Distinguishing newforms by their Hecke eigenvalues ⋮ On the Petersson inner products of Fourier–Jacobi coefficients and Hecke eigenvalues of Siegel cusp forms

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