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

Alaca S., Kesicioglu Y.

INTERNATIONAL JOURNAL OF NUMBER THEORY, vol.10, no.1, pp.133-150, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 1
  • Publication Date: 2014
  • Doi Number: 10.1142/s1793042113500851
  • Journal Name: INTERNATIONAL JOURNAL OF NUMBER THEORY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.133-150
  • Keywords: Octonary quadratic forms, representations, theta functions, Dedekind eta function, Eisenstein series, Eisenstein forms, modular forms, cusp forms
  • Recep Tayyip Erdoğan University Affiliated: Yes

Abstract

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.