REPRESENTATIONS BY CERTAIN OCTONARY QUADRATIC FORMS WHOSE COEFFICIENTS ARE 1, 2, 3 AND 6

Alaca, Saban; Kesicioglu, YAVUZ

doi:10.1142/s1793042113500851

REPRESENTATIONS BY CERTAIN OCTONARY QUADRATIC FORMS WHOSE COEFFICIENTS ARE 1, 2, 3 AND 6

Alaca S., Kesicioglu Y.

INTERNATIONAL JOURNAL OF NUMBER THEORY, cilt.10, sa.1, ss.133-150, 2014 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 10 Sayı: 1
Basım Tarihi: 2014
Doi Numarası: 10.1142/s1793042113500851
Dergi Adı: INTERNATIONAL JOURNAL OF NUMBER THEORY
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.133-150
Anahtar Kelimeler: Octonary quadratic forms, representations, theta functions, Dedekind eta function, Eisenstein series, Eisenstein forms, modular forms, cusp forms
Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

We determine formulae for the numbers of representations of a positive integer by certain octonary quadratic forms whose coefficients are 1, 2, 3 and 6.