On the number of representations of positive integers by quadratic forms as the basis of the space S4 ( Γ0 (47), 1)

TEKCAN, AHMET; BİZİM, OSMAN

doi:10.1155/s0161171204203076

On the number of representations of positive integers by quadratic forms as the basis of the space S4 ( Γ0 (47), 1)

Atıf İçin Kopyala

TEKCAN A., BİZİM O.

International Journal of Mathematics and Mathematical Sciences, cilt.2004, sa.12, ss.637-646, 2004 (Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 2004 Sayı: 12
Basım Tarihi: 2004
Doi Numarası: 10.1155/s0161171204203076
Dergi Adı: International Journal of Mathematics and Mathematical Sciences
Derginin Tarandığı İndeksler: Scopus
Sayfa Sayıları: ss.637-646
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

The number of representations of positive integers by quadratic forms Fl=×12+×1×2+12×22 and G1= 3×12+×1×2+4×22 of discriminant -47 are given. Moreover, a basis for the space S4 ( Γ0 (47),1) are constructed, and the formulas for r (n;F4), r (n;G4), r (n;F3⊕G1), r (n;F2⊕G2), and r (n;F1⊕G3) are derived. Copyright © 2004 Hindawi Publishing Corporation. All rights reserved.