Diophantine Approximation with Prime Variables and Mixed Powers

Let , , , , be non-zero real numbers, not all negative, and let be irrational and algebraic. Let be a well-spaced sequence and .We prove that for any given ,the number of satisfying and for which has no solution in primes , , , , does not exceed .

Authors

Publication Details

Journal
Journal of innovation and development
Published
2025-02-27
DOI
https://doi.org/10.54097/dpg8r633
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Diophantine Approximation with Prime Variables and Mixed Powers

Meng Li
Journal of innovation and development
Algebraic Geometry and Number Theory
article

Diophantine Approximation with Prime Variables and Mixed Powers

Meng Li
article en

Abstract

Let , , , , be non-zero real numbers, not all negative, and let be irrational and algebraic. Let be a well-spaced sequence and .We prove that for any given ,the number of satisfying and for which has no solution in primes , , , , does not exceed .

Journal of innovation and developmentVol. 10(2)
Openalex Percentile: Top 93%
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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Diophantine Approximation with Prime Variables and Mixed Powers — Meng Li · Journal of innovation and development (2025) | TGRS Research Map | TGRS