English

A Generalization of Diophantine Tuples

Number Theory 2025-12-03 v5

Abstract

This paper investigates a generalized version of Diophantine tuples in finite fields. Applying Shparlinski's method, we obtain power-saving results on the number of such tuples.

Cite

@article{arxiv.2508.18550,
  title  = {A Generalization of Diophantine Tuples},
  author = {Zijie Gu},
  journal= {arXiv preprint arXiv:2508.18550},
  year   = {2025}
}
R2 v1 2026-07-01T05:05:35.487Z