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

Alaca A., Kesicioglu M. N.

INTERNATIONAL JOURNAL OF NUMBER THEORY, vol.11, no.8, pp.2353-2368, 2015 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 8
  • Publication Date: 2015
  • Doi Number: 10.1142/s1793042115501080
  • Journal Name: INTERNATIONAL JOURNAL OF NUMBER THEORY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2353-2368
  • Keywords: Octonary quadratic forms, representations, theta functions, Dedekind eta function, eta quotients, eta products, modular forms, Eisenstein series, Eisenstein forms, cusp forms
  • Recep Tayyip Erdoğan University Affiliated: Yes

Abstract

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