Diophantine problems related to cyclic cubic and quartic fields
Number Theory
2021-06-29 v1
Abstract
We are interested in solving the congruences and in polynomials with rational coefficients. Moreover, we present results of computations of all integer points on certain one parametric curves of genus 1 and 3, related to cubic and quartic fields, respectively.
Cite
@article{arxiv.2106.14558,
title = {Diophantine problems related to cyclic cubic and quartic fields},
author = {Szabolcs Tengely and Maciej Ulas},
journal= {arXiv preprint arXiv:2106.14558},
year = {2021}
}