A short note on the Bruiner-Kohnen sign equidistribution conjecture and Halász' theorem
International Journal of Number Theory, cilt.12, sa.2, ss.357-360, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 12 Sayı: 2
- Basım Tarihi: 2016
- Doi Numarası: 10.1142/s1793042116500214
- Dergi Adı: International Journal of Number Theory
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.357-360
- Anahtar Kelimeler: Fourier coefficients of modular forms, Half-integral weight modular forms, Hecke eigenforms, Sato-Tate equidistribution, Shimura lift
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Bilecik Şeyh Edebali Üniversitesi Adresli: Evet
Özet
© 2016 World Scientific Publishing Company.In this note, we improve earlier results towards the Bruinier-Kohnen sign equidistribution conjecture for half-integral weight modular eigenforms in terms of natural density by using a consequence of Halász' theorem. Moreover, by applying a result of Serre, we remove all unproved assumptions.