On the Diophantine Inequality Problem

SONG Yan-bo

doi:10.13371/j.cnki.chin.q.j.m.2021.01.006

Chinese Quarterly Journal of Mathematics >

2021 , Vol. 36 >Issue 1: 79 - 89

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2021.01.006

On the Diophantine Inequality Problem

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Department of Mathematics, Xian Jiaotong University,

Song Yan-bo (1991-), male, native of Xian, Shannxi, Ph.D student of Xian Jiaotong University, engages in number theory.

Received date: 2020-09-13

Online published: 2021-03-30

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Abstract

In this paper, we deal with a Diophantine inequality involving a prime, two squares of primes and one k-th power of a prime which give an improvement of the result given by Alessandro Gambini.

Key words： Diophantine inequality; Hardy-littlewood method; Davenport-heilbronn method

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SONG Yan-bo . On the Diophantine Inequality Problem[J]. Chinese Quarterly Journal of Mathematics, 2021 , 36(1) : 79 -89 . DOI: 10.13371/j.cnki.chin.q.j.m.2021.01.006

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