Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772634 | Journal of Number Theory | 2017 | 16 Pages |
Abstract
Let λ1, λ2, λ3, λ4, λ5 be non-zero real numbers, not all negative. Let V be a well-spaced sequence, δ>0. If λ1/λ2 is irrational and algebraic, then we prove that E(V,X,δ)âªX17/18+2δ+ε, where E(V,X,δ) denotes the number of vâV with vâ¤X such that the inequality |λ1p13+λ2p23+λ3p33+λ4p43+λ5p53âv|
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Wenxu Ge, Feng Zhao,