Regular ternary polygonal forms
Number Theory
2020-05-11 v4
Abstract
Inspired by Dickson's classification of regular ternary quadratic forms, we prove that there are no primitive regular -gonal forms when is sufficiently large. In order to do so, we construct sequences of primes that are inert in a certain quadratic field and show that they satisfy a certain inequality bounding the next prime by the product of the previous primes, a question of independent interest.
Keywords
Cite
@article{arxiv.1905.01423,
title = {Regular ternary polygonal forms},
author = {Zilong He and Ben Kane},
journal= {arXiv preprint arXiv:1905.01423},
year = {2020}
}