Representations by octonary quadratic forms with coefficients 1, 2, 3 or 6

Alaca, Ayse; Kesicioglu, MÜCAHİDE

doi:10.1142/s1793042117500385

Representations by octonary quadratic forms with coefficients 1, 2, 3 or 6

Alaca A., Kesicioglu M. N.

INTERNATIONAL JOURNAL OF NUMBER THEORY, cilt.13, sa.3, ss.735-749, 2017 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 13 Sayı: 3
Basım Tarihi: 2017
Doi Numarası: 10.1142/s1793042117500385
Dergi Adı: INTERNATIONAL JOURNAL OF NUMBER THEORY
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.735-749
Anahtar Kelimeler: Octonary quadratic forms, representations, theta functions, Dedekind eta function, eta quotients, Eisenstein series, Eisenstein forms, modular forms, cusp forms
Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

Using modular forms, we determine formulas for the number of representations of a positive integer by diagonal octonary quadratic forms with coefficients 1, 2, 3 or 6.