A ternary Diophantine inequality involving primes

Author:

Cai Yingchun1

Affiliation:

1. School of Mathematical Science, Tongji University, Shanghai 200092, P. R. China

Abstract

Let [Formula: see text]. In this paper, it is proved that for every sufficiently large real number [Formula: see text], the Diophantine inequality [Formula: see text] is solvable in primes [Formula: see text]. This result constitutes an improvement upon that of Baker and Weingartner.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

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1. On a ternary diophantine inequality with prime numbers of a special type II;Periodica Mathematica Hungarica;2024-07-02

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3. A Tangent Inequality Over Primes;Ukrainian Mathematical Journal;2023-11-28

4. Two Diophantine Inequalities over Primes with Fractional Power;Frontiers of Mathematics;2023-11

5. The exceptional set for integers of the form $$[p_1^c]+[p_2^c]$$;Periodica Mathematica Hungarica;2023-08-12

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