English

Representations of an integer by some quaternary and octonary quadratic forms

Number Theory 2017-08-16 v1

Abstract

In this paper we consider certain quaternary quadratic forms and octonary quadratic forms and by using the theory of modular forms, we find formulae for the number of representations of a positive integer by these quadratic forms.

Keywords

Cite

@article{arxiv.1708.04266,
  title  = {Representations of an integer by some quaternary and octonary quadratic forms},
  author = {B. Ramakrishnan and Brundaban Sahu and Anup Kumar Singh},
  journal= {arXiv preprint arXiv:1708.04266},
  year   = {2017}
}

Comments

20 pages, 4 tables. arXiv admin note: text overlap with arXiv:1607.03809