English

Representations by Quaternary Quadratic Forms with Coefficients $1$, $2$, $5$ or $10$

Number Theory 2016-07-13 v1

Abstract

We determine explicit formulas for the number of representations of a positive integer nn by quaternary quadratic forms with coefficients 11, 22, 55 or 1010. We use a modular forms approach.

Keywords

Cite

@article{arxiv.1607.03196,
  title  = {Representations by Quaternary Quadratic Forms with Coefficients $1$, $2$, $5$ or $10$},
  author = {Ayşe Alaca and Mada Altiary},
  journal= {arXiv preprint arXiv:1607.03196},
  year   = {2016}
}

Comments

15 pages

R2 v1 2026-06-22T14:51:56.263Z