已为您找到该学者10条结果 成果回收站
【期刊论文】ON THE DISTRIBUTION OF INVERSES MODULO P (II)
张文鹏, ZHANG WENPENG
,-0001,():
-1年11月30日
Let p bc an odd prime. For each integer a with 0<a<p, wc define by aa=1 rood p and 0<a<p. For any fixed positive integer k and any fixed real number 0<6<1, the main purpose of this paper is to study the distribution ehaviour of │p{ak-p}-p{-ka-p}│, and give a sharpcr asymptotic tbrmula.
General Kloostermann', s sums, Distribution of inverses modulo p.,
-
55浏览
-
0点赞
-
0收藏
-
0分享
-
105下载
-
0
-
引用
【期刊论文】A PROBLEM OF D.H.LEHMER AND ITS MEAN SQUARE VALUE FORMULA*
张文鹏, ZHANG WENPENG, XU ZONGBEN AND YI YUAN
,-0001,():
-1年11月30日
Let q be an odd positive integer and let a be an integer coprime to q. For each integer b coprime to q with 1<b<q, there is a unique integer e coprimc to q with 1≤e≤q such that be≡a (rood q). Let N (a, q) denote the number of solutions of the congruence equation bc≡a (rood q) wlth 1≤b, c<q such that b,c are of opposite parity. The main purpose of this paper is using the properties of Dcdekind sums, the properties of Cochranc sums and the mean value theorem of Diriehlet L-thnetions to study the asymptotic property of the mean square value Σ(N(a,q)-2-1(q)2, and give a sharp asymptotic formula.
Lehmer Problem, Dedekind sums, Cochrane sum, Dirichlet L-function.,
-
52浏览
-
0点赞
-
0收藏
-
0分享
-
138下载
-
0
-
引用
【期刊论文】SOME APPLICATIONS OF BOMBIERI'S ESTIMATE FOR EXPONENTIAL SUMS
张文鹏, ZHANG WENPENG AND YI YUAN
,-0001,():
-1年11月30日
Let p>3 bc a prime, k bc any fixed positlvc integer. For any polynomiM f(x, y) with rational integer coefficients, we define set A=A(f,k,δ)={(a,b):f(a,b)=O (modp), {ak-p}-{bk-p}<δ} whcrc 0<δ≤1, [x] denotes the grcatest intcger not exceeding x and {x}=x-[x]. The main purpose of this paper is to study the asymptotic behaviour of M(p,A,K)=Σpa=1 Σpb=1(a,b)4 and give an interesting asymptotic formula for M (p,A,k) for some special polynomials f (x, y).
Exponential sum, Bombieri', s estimates, Asymptotic formula.,
-
51浏览
-
0点赞
-
0收藏
-
0分享
-
184下载
-
0
-
引用
【期刊论文】A NOTE ON THE COCHRANE SUM AND ITS HYBRID MEAN VALUE FORMULA*
张文鹏, ZHANG WENPENG AND LIU HUANING
,-0001,():
-1年11月30日
In this paper, we use the properties of Gauss sums, primitive characters and the mean value theorems of Dirlehlet L-functions to study the hybrid mean value of Cochrane suiils and general Kloosterman suins and give two sharp asymptotic formulac.
Cochrane sums, General Kloosterman sums, Asymptotic formula.,
-
47浏览
-
0点赞
-
0收藏
-
0分享
-
159下载
-
0
-
引用
【期刊论文】MOMENTS OF GENERALIZED QUADRATIC GAUSS SUMS WEIGHTED BY L-FUNCTIONS*
张文鹏, ZHANG WENPENG
,-0001,():
-1年11月30日
The main purpose of this paper is using estimates tbr character sums and analytic methods to study the second, fourth, and sixth order moments of gcn-cralizcd quadratic Gauss sums weighted by L-thnctions. Three asymptotic tbrmulac arc obtalncd.
Gcncral quadratic Gauss sums, L-functions, Asymptotic formula.,
-
46浏览
-
0点赞
-
0收藏
-
0分享
-
95下载
-
0
-
引用