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

Alaca A., Kesicioglu M. N.

INTERNATIONAL JOURNAL OF NUMBER THEORY, vol.13, no.3, pp.735-749, 2017 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 13 Issue: 3
  • Publication Date: 2017
  • Doi Number: 10.1142/s1793042117500385
  • Journal Name: INTERNATIONAL JOURNAL OF NUMBER THEORY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.735-749
  • Keywords: Octonary quadratic forms, representations, theta functions, Dedekind eta function, eta quotients, Eisenstein series, Eisenstein forms, modular forms, cusp forms
  • Recep Tayyip Erdoğan University Affiliated: Yes

Abstract

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.