English

Fermat-Catalan and Tijdeman-Zagier conjectures for products

Number Theory 2024-10-30 v1

Abstract

We propose conjectural generalizations of the Fermat-Catalan conjecture, the Tijdeman-Zagier conjecture, and of the Fermat Last Theorem, in which powers are replaced by products of integers. We also formulate a new explicit version of the abc conjecture.

Keywords

Cite

@article{arxiv.2410.21552,
  title  = {Fermat-Catalan and Tijdeman-Zagier conjectures for products},
  author = {Adam S. Sikora},
  journal= {arXiv preprint arXiv:2410.21552},
  year   = {2024}
}

Comments

9 pages