FAST COMPUTATION OF HALF-INTEGRAL WEIGHT MODULAR FORMS
Rocky Mountain Journal of Mathematics, cilt.52, sa.4, ss.1395-1401, 2022 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 52 Sayı: 4
- Basım Tarihi: 2022
- Doi Numarası: 10.1216/rmj.2022.52.1395
- Dergi Adı: Rocky Mountain Journal of Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
- Sayfa Sayıları: ss.1395-1401
- Anahtar Kelimeler: computation, Fourier coefficients, modular forms of half-integral weight, Rankin-Cohen operators
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Bilecik Şeyh Edebali Üniversitesi Adresli: Evet
Özet
© Rocky Mountain Mathematics Consortium.To study statistical properties of modular forms, including for instance Sato-Tate like problems, it is essential to be able to compute a large number of Fourier coefficients. We show that this can be achieved in level 4 for a large range of half-integral weights by making use of one of three explicit bases, the elements of which can be calculated via fast power series operations.