Representations by octonary quadratic forms with coefficients 1, 3 or 9

Alaca, Ayse; Kesicioglu, MÜCAHİDE

doi:10.1142/s1793042115501080

Representations by octonary quadratic forms with coefficients 1, 3 or 9

Alaca A., Kesicioglu M. N.

INTERNATIONAL JOURNAL OF NUMBER THEORY, cilt.11, sa.8, ss.2353-2368, 2015 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 11 Sayı: 8
Basım Tarihi: 2015
Doi Numarası: 10.1142/s1793042115501080
Dergi Adı: INTERNATIONAL JOURNAL OF NUMBER THEORY
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.2353-2368
Anahtar Kelimeler: Octonary quadratic forms, representations, theta functions, Dedekind eta function, eta quotients, eta products, modular forms, Eisenstein series, Eisenstein forms, cusp forms
Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

Using modular forms, we determine the number of representations of a positive integer by diagonal octonary quadratic forms with coefficients 1, 3 or 9.