Elementary Proofs of Representation by Ternary Quadratic Forms
Number Theory
2022-06-02 v1
Abstract
Mordell in 1958 gave a new proof of the three squares theorem. Those techniques were generalized by Blackwell, et al., in 2016 to characterize the integers represented by the remaining six "Ramanujan-Dickson ternaries". We continue the generalization of these techniques to four additional forms.
Cite
@article{arxiv.2206.00589,
title = {Elementary Proofs of Representation by Ternary Quadratic Forms},
author = {Benjamin Rainear and Katherine Thompson},
journal= {arXiv preprint arXiv:2206.00589},
year = {2022}
}