Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415417 | Journal of Number Theory | 2015 | 8 Pages |
Abstract
Let f(n) be a multiplicative function satisfying |f(n)|â¤1, q (â¤N2) be a prime number and a be an integer with (a,q)=1, Ï be a non-principal Dirichlet character modulo q. In this paper, we shall prove thatânâ¤Nf(n)Ï(n+a)âªNq14logâ¡logâ¡(6N)+q14N12logâ¡(6N)+Nlogâ¡logâ¡(6N) and thatânâ¤Nf(n)Ï(n+a1)â¯Ï(n+at)âªNq14logâ¡logâ¡(6N)+q14N12logâ¡(6N)+Nlogâ¡logâ¡(6N), where tâ¥2, a1,â¦,at are pairwise distinct integers modulo q.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ke Gong, Chaohua Jia,