On general partial Gaussian sums

Abstract Let q ≥ 2 $q\geq2$ be a fixed integer, A = A ( q ) ≤ q $A=A(q)\leq q$ , B = B ( q ) ≤ q $B=B(q)\leq q$ , and H = H ( q ) ≤ q $H=H(q)\leq q$ . Define ħ ( A , B , H ) = { a ∈ Z ∣ ( a , q ) = 1 , a b ≡ 1 ( mod q ) , 1 ≤ a ≤ A , 1 ≤ b ≤ B , | a − b | ≤ H } . $$\hbar(A,B,H)= \bigl\{ a\in\mathbb{...

Full description

Bibliographic Details
Main Authors: Ganglian Ren, Dingding He, Tianping Zhang
Format: Article
Language:English
Published: SpringerOpen 2016-11-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-016-1238-2