On conjectures of Sato-Tate and Bruinier-Kohnen

DOI10.1007/s11139-013-9547-2zbMath1383.11112arXiv1305.5443OpenAlexW3098292415WikidataQ122910033 ScholiaQ122910033MaRDI QIDQ2017997

Ilker Inam, Gabor Wiese, Sara Arias-de-Reyna

Publication date: 24 March 2015

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.5443

zbMATH Keywords

Shimura liftFourier coefficients of modular formsSato-Tate equidistributionhalf-integral weight modular formsdensity of sets of primes

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30) Density, gaps, topology (11B05) Distribution of primes (11N05)

Related Items (13)

Equidistribution of signs for modular eigenforms of half integral weight ⋮ On the distribution of coefficients of half-integral weight modular forms and the Bruinier–Kohnen conjecture ⋮ On sign changes of cusp forms and the halting of an algorithm to construct a supersingular elliptic curve with a given endomorphism ring ⋮ The explicit Sato-Tate Conjecture and densities pertaining to Lehmer-type questions ⋮ On the coefficients of symmetric power L-functions ⋮ Sign of Fourier coefficients of half-integral weight modular forms in arithmetic progressions ⋮ The equidistribution of Fourier coefficients of half integral weight modular forms on the plane ⋮ Sign changes of coefficients and sums of coefficients of \(L\)-functions ⋮ Oscillatory behavior and equidistribution of signs of Fourier coefficients of cusp forms ⋮ A note on the extended Bruinier-Kohnen conjecture ⋮ Distinguishing newforms by their Hecke eigenvalues ⋮ Some remarks on the Fourier coefficients of cusp forms ⋮ A variant of multiplicity one theorems for half-integral weight modular forms

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