Representations of Positive Integers by Positive Quadratic Forms
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, cilt.35, sa.1, ss.137-148, 2011 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 35 Sayı: 1
- Basım Tarihi: 2011
- Dergi Adı: SOUTHEAST ASIAN BULLETIN OF MATHEMATICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
- Sayfa Sayıları: ss.137-148
- Anahtar Kelimeler: Representations of positive integers by positive definite quadratic forms, Generalized theta series, Eisenstein series, Cusp form
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
In this work we consider the representations of positive integers by quadratic forms F-1 = x(1)(2) + x(1)x(2) + 8x(2)(2) and G(1) = 2x(1)(2) + x(1)x(2) + 4x(2)(2) of discriminant 31 and we obtain some results concerning the modular forms (sci) (T; F, phi(tau s)). Moreover we construct a basis for the cusp form space S-4 (Gamma(0) (31), 1), and then we give some formulas for the number of representations of positive integer n by positive definite quadratic forms.