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Extension on the Distribution of Primitive Roots Modulo $p$
Received:January 20, 2004
Revised:May 01, 2004
Key Words
:
primitive root
trigonometric sums
Kloostermann sum.
Fund Project
:
Author Name
Affiliation
QIAN Miao-lan
Department of Mathematics
,
Fudan University
,
Shanghai 200433
,
China
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Abstract
:
Let $p$ be an odd prime. $k$ is a positive integer with $k|p^\alpha-p^{\alpha-1}$. The main purpose of this paper is to study the distribution of $k$-th residue modulo $p^\alpha$, when $\alpha$ is a positive integer with $\alpha>1$.
Citation:
DOI
:
10.3770/j.issn:1000-341X.2007.02.025
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