A Generalization of Diophantine Tuples

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.

Publication Details

Journal
ArXiv.org
Published
2025-08-25
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
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article

A Generalization of Diophantine Tuples

ArXiv.org
Geochemistry and Geologic Mapping
article

A Generalization of Diophantine Tuples

article en

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.

ArXiv.org
Openalex Percentile: Top 61%
Geochemistry and Geologic Mapping
Open Access PDFOpenAlex
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A Generalization of Diophantine Tuples · ArXiv.org (2025) | TGRS Research Map | TGRS