Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772560 | Journal of Number Theory | 2017 | 9 Pages |
Abstract
Let f(n) be a multiplicative function with |f(n)|â¤1,q be a prime number and a be an integer with (a,q)=1, Ï be a non-principal Dirichlet character modulo q. Let ε be a sufficiently small positive constant, A be a large constant, q12+εâªNâªqA. In this paper, we shall prove thatânâ¤Nf(n)Ï(n+a)âªNlogâ¡logâ¡qlogâ¡q and thatânâ¤Nf(n)Ï(n+a1)â¯Ï(n+at)âªNlogâ¡logâ¡qlogâ¡q, where tâ¥2,a1,â¦,at are distinct integers modulo q.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
K. Gong, C. Jia, M.A. Korolev,