L-函数的均值及其有关问题

11071194
2010
A0102.解析数论与组合数论
张文鹏
面上项目
教授
西北大学
25万元
Dedekind和;Kloosterman和;L-函数;随机矩阵;均值
2011-01-01到2013-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 A note on the number of solutions of the generalized Ramanujan-Nagell equation $x^2-D=p^n$ 期刊论文 赵院娥|王婷婷|
2 Hybrid mean value of the generalized Kloosterman sums and Dirichlet character of polynomials 期刊论文 王婧哲|
3 ON THE 2k-TH POWER MEAN VALUE OF THE GENERALIZED QUADRATIC GAUSS SUMS 期刊论文 He, Yanfeng|Zhang, Wenpeng|
4 Powerful numbers in (1^k+1)(2^k+1)...(n^k+1) 期刊论文 张文鹏|王婷婷|
5 The diophantine equation $x^2+2^a\cdot 17^b=y^n$ 期刊论文 苟素|王婷婷|
6 A CONVOLUTION FORMULA FOR BERNOULLI POLYNOMIALS 期刊论文 He, Yuan|Zhang, Wenpeng|
7 ON THE MEAN VALUES OF L(1, chi) 期刊论文 Wu, Zhaoxia|Zhang, Wenpeng|
8 On hybrid mean value of Dedekind sums and two-term exponential sums 期刊论文 Wang, Tingting|Zhang, Wenpeng|
9 On the Dedekind sums and the quadratic Gauss sums 期刊论文 王婷婷|张文鹏|
10 ecurrence formulae for Apostol-Bernoulli and Apostol-Euler polynomials 期刊论文 Yuan He|Chunping Wang|
11 Some formulae of products of the Apostol-Bernoulli and Apostol-Euler polynomials 期刊论文 Yuan He|Chunping Wang|
12 Several identities involving the Fibonacci polynomials and Lucas polynomials 期刊论文 Wu, Zhengang|Zhang, Wenpeng|
13 Some identities related to Dedekind sums and the second-order linear recurrence polynomials 期刊论文 李江华,张晗|
14 On the mean value of dedekind sum weighted by the quadratic gauss sum 期刊论文 王婷婷|张文鹏|
15 New symmetric identities involving the Eulerian polynomials 期刊论文 Yuan He|Chunping Wang|
16 On the reciprocal sums of higher-order sequences 期刊论文 吴振刚,张晗|
17 The mean value involving Dedekind sums and two-term exponential sums 期刊论文 王婷婷|潘晓玮|
18 The exponential Lebesgue-Nagell equation X^2 + P^2m = Y^n 期刊论文 潘晓玮|
19 On the Fourth Power Mean of a Sum Analogues to Character Sums Over Short Intervals 期刊论文 Tian, Qing|He, Yanfeng|Zhang, Wenpeng|
20 On the mean value of general k-th Gauss sums 期刊论文 Yuan He|Qunying Liao|
21 The infinite sum of reciprocal Pell numbers 期刊论文 Zhang Wenpeng|Wang Tingting|
22 A Hybrid Mean Value Related to the Dedekind Sums and Kloosterman Sums 期刊论文 Liu, Yan Ni|Zhang, Wen Peng|
23 Upper bound estimate of character sums over Lehmer’s numbers 期刊论文 韩迪,张文鹏|
24 Symmetric identities for Carlitz’s q-Bernoulli numbers and polynomials 期刊论文 何圆|
25 A new sum and its mean value 期刊论文 苟素|张文鹏|
26 A sum analogous to the high-dimensional Kloosterman sums and its upper bound estimate 期刊论文 李毅君,韩迪|
27 A note on the twisted Lerch type Euler zeta functions 期刊论文 何圆,张文鹏|
28 关于三次Diophantine方程x~3-1=2py~2 期刊论文 陈斌|张文鹏|
29 An identity involving certain Hardy sums and Ramanujan’s sum 期刊论文 王维琼,韩迪|
30 关于特定幸福立方数列 期刊论文 韩迪|
31 Some estimate of character sums and its applications 期刊论文 李江华,韩迪|
32 On the Smarandache-Pascal derived sequences and some of their conjectures 期刊论文 李小雪,韩迪|
33 Some sum relations involving Bernoulli and Euler polynomials 期刊论文 He, Yuan|Zhang, Wenpeng|
34 On the Smarandache-Pascal derived sequences of generalized Tribonacci numbers 期刊论文 吴振刚,李江华,张晗|
35 The infinite sum of the cubes of reciprocal Pell numbers 期刊论文 徐哲峰|王婷婷|
36 The divisibility of the class number of the imaginary quadratic field Q(\sqrt{2^{2m}-k^n}) 期刊论文 朱敏慧|王婷婷|
37 Pell数平方倒数的无限和(英文) 期刊论文 张文鹏|王婷婷|
38 ON THE HYBRID MEAN VALUE OF COCHRANE SUMS AND TWO-TERM EXPONENTIAL SUMS 期刊论文 Wang Tingting|Zhang Wenpeng|
39 The sums of reciprocal of Fibonacci polynomials and Lucas polynomials 期刊论文 吴振刚|张文鹏|
40 A note on the Diophantine equation (a^n-1)(b^n-1)=x^2 期刊论文 郭晓艳|
41 The fourth power mean of the generalized two-term exponential sums and its upper and lower bound estimates 期刊论文 李小雪,徐哲峰|
42 A HYBRID MEAN VALUE RELATED TO CERTAIN HARDY SUMS AND KLOOSTERMAN SUMS 期刊论文 Guo, Xiaoyan|Zhang, Wenpeng|
43 On the hybrid mean value of Cochrane sums and generalized Kloosterman sums 期刊论文 王婷婷|
44 Some identities involving Fibonacci, Lucas polynomials and their applications 期刊论文 王婷婷|张文鹏|
45 关于四次及六次混合指数和的均值 期刊论文 王婷婷|张文鹏|
46 A MEAN VALUE RELATED TO D. H. LEHMER'S PROBLEM AND THE RAMANUJAN'S SUM 期刊论文 Zhang Wenpeng|
47 Second moments of Dirichlet L-functions weighted by Kloostermann sums 期刊论文 王婷婷|
48 关于三项指数和的四次均值问题 期刊论文 杜先存,韩迪|
49 On Lehmer's problem and Dedekind sums 期刊论文 Pan, Xiaowei|Zhang, Wenpeng|
50 An identity involving Dedekind sums and generalized Kloosterman sums 期刊论文 郇乐|王婧哲|王婷婷|
51 Two identities related to dirichlet character of polynomials 期刊论文 Yao, Weili|Zhang, Wenpeng|
52 The sums of the reciprocals of Fibonacci polynomials and Lucas polynomials 期刊论文 Wu, Zhengang|Zhang, Wenpeng|
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