Sign changes of Hecke eigenvalues
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Publication:903083
DOI10.1007/s00039-015-0350-7zbMath1359.11040arXiv1405.7671OpenAlexW1590003428MaRDI QIDQ903083
Kaisa Matomäki, Maksym Radziwiłł
Publication date: 4 January 2016
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.7671
Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30) Hecke-Petersson operators, differential operators (one variable) (11F25)
Related Items (18)
On the signs of Fourier coefficients of Hilbert cusp forms ⋮ Arithmetic behaviour of Hecke eigenvalues of Siegel cusp forms of degree two ⋮ Multiplicative functions in short intervals ⋮ Non-vanishing and sign changes of Hecke eigenvalues for Siegel cusp forms of genus two. With an appendix by E. Kowalski and A. Saha. ⋮ Signs of Fourier coefficients of half-integral weight modular forms ⋮ On signs of Fourier coefficients of Hecke-Maass cusp forms on 𝐺𝐿₃ ⋮ Sign changes of fourier coefficients of holomorphic cusp forms at norm form arguments ⋮ ON FUNDAMENTAL FOURIER COEFFICIENTS OF SIEGEL CUSP FORMS OF DEGREE 2 ⋮ On sign changes of Fourier coefficients of Hermitian cusp forms of degree two ⋮ On the asymptotics of the shifted sums of Hecke eigenvalue squares ⋮ On the typical size and cancellations among the coefficients of some modular forms ⋮ A large sieve inequality of Elliott-Montgomery-Vaughan type for automorphic forms on \(\mathrm{GL}_3\) ⋮ A large sieve inequality of Elliott-Montgomery-Vaughan type for Maass forms on \(\mathrm{GL}(n,\mathbb{R})\) with applications ⋮ Distinguishing newforms by their Hecke eigenvalues ⋮ The first negative eigenvalue of Yoshida lifts ⋮ A constraint for twist equivalence of cusp forms on \(\mathrm{GL}(n)\) ⋮ The Fourier coefficients of Eisenstein series newforms ⋮ Random ordering in modulus of consecutive Hecke eigenvalues of primitive forms
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