DISTRIBUTION OF HECKE EIGENVALUES OF NEWFORMS IN SHORT INTERVALS

DOI10.1093/qmath/has007zbMath1320.11041OpenAlexW1981967529MaRDI QIDQ5300603

Jie Wu, Zhai, Wenguang

Publication date: 27 June 2013

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/has007

zbMATH Keywords

newformHecke eigenvalue\(\mathcal B\)-free number approach

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (9)

Non-vanishing and sign changes of Hecke eigenvalues for half-integral weight cusp forms ⋮ Sign changes and nonvanishing of Fourier coefficients of holomorphic cusp forms ⋮ Non-vanishing and sign changes of Hecke eigenvalues for Siegel cusp forms of genus two. With an appendix by E. Kowalski and A. Saha. ⋮ Some density results on sets of primes for Hecke eigenvalues ⋮ Moments and oscillations of exponential sums related to cusp forms ⋮ Sign changes of Hecke eigenvalues ⋮ The first simultaneous sign change and non-vanishing of Hecke eigenvalues of newforms ⋮ On fourth and higher moments of short exponential sums related to cusp forms ⋮ On the Petersson inner products of Fourier–Jacobi coefficients and Hecke eigenvalues of Siegel cusp forms

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