A short note on the Bruiner-Kohnen sign equidistribution conjecture and Halász' theorem

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İNAM İ., Wiese G.

International Journal of Number Theory, cilt.12, sa.2, ss.357-360, 2016 (SCI-Expanded) identifier identifier

  • 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
  • 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.