English

On counterexamples to Mordell's Pellian Equation Conjecture and the AAC-Conjecture: a non-computer based approach

Number Theory 2025-04-30 v2

Abstract

In this note, we discuss recently discovered counterexamples to Mordell's Pellian Equation Conjecture and the Ankeny-Artin-Chowla-Conjecture. We provide a verification of the counterexample to Mordell's Pellian Equation Conjecture that can be checked with marginal computer assistance.

Keywords

Cite

@article{arxiv.2404.03038,
  title  = {On counterexamples to Mordell's Pellian Equation Conjecture and the AAC-Conjecture: a non-computer based approach},
  author = {Andreas Reinhart},
  journal= {arXiv preprint arXiv:2404.03038},
  year   = {2025}
}