Mixed Variables Diophantine Inequality with Prime Variables
Abstract
Let ,,, and be non-zero real numbers ,not all of the same sign, that is irrational and let be a real number. The inequality has infinitely many solutions in prime variables and for any .
Keywords
Diophantine inequalities; Hardy-Littlewood method; Davenport-Heilbronn method
Full Text:
PDFReferences
[1] Alessandro Gambini. Diophantine approximation with one prime,two squares of primes and one k-th power of a prime. https://arxiv.org/abs/1706.00343 .
[2] Quanwu Mu , Xiaodong Lv. Diophantime Approximation With Prime Variable and Mixed powers(II)[J].Advances in Mathematic (China), 2017, 46(2): 190-202.
[3] 李伟平,王天泽等.素变量混合幂丢番图逼近[J].数学学报中文版,2019,62(1): 50-58.
DOI: http://dx.doi.org/10.18686/ahe.v8i4.13344
Refbacks
- There are currently no refbacks.
