A short note on the Bruiner–Kohnen sign equidistribution conjecture and Halász’ theorem

DOI10.1142/S1793042116500214zbMath1404.11053arXiv1408.2210OpenAlexW2138854794WikidataQ123360439 ScholiaQ123360439MaRDI QIDQ2789369

Gabor Wiese, Ilker Inam

Publication date: 29 February 2016

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

Full work available at URL: https://arxiv.org/abs/1408.2210

zbMATH Keywords

Shimura liftHecke eigenformsFourier coefficients of modular formsSato-Tate equidistributionhalf-integral weight modular forms

Mathematics Subject Classification ID

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

Related Items (7)

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 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 ⋮ Equidistribution of signs for Hilbert modular forms of half-integral weight

Cites Work

• A family of Calabi-Yau varieties and potential automorphy. II.
• Quelques applications du théorème de densité de Chebotarev
• The explicit Sato-Tate Conjecture and densities pertaining to Lehmer-type questions

This page was built for publication: A short note on the Bruiner–Kohnen sign equidistribution conjecture and Halász’ theorem