国家自然科学基金(10971119)

作品数：7被引量：12H指数：2
导出分析报告
相关作者：任秀敏更多>>
相关机构：山东大学更多>>
相关期刊：《Science China Mathematics》《Chinese Annals of Mathematics,Series B》《中国科学：数学》《Frontiers of Mathematics in China》更多>>
相关主题：FORMRESONANCEZETA-FUNCTIONBETWEENEXPONENTIAL更多>>
相关领域：理学一般工业技术水利工程金属学及工艺更多>>
-
在结果中检索

检索结果分析

结果分析中...
共 条 记 录，以下是1-7
全选清除导出
参考文献引证文献引用追踪
视图：
排序：
Resonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for GL_m(Z)被引量：2
《Science China Mathematics》2015年第10期2105-2124,共20页REN XiuMin YE YangBo 
supported by National Natural Science Foundation of China(Grant No.10971119);Program for Changjiang Scolars and Innovative Research Team in University(Grant No.1264)
Let f be a full-level cusp form for GLm(Z) with Fourier coefficients Af(n1,..., nm-1). In this paper,an asymptotic expansion of Voronoi's summation formula for Af(n1,..., nm-1) is established. As applications of this ...
关键词：cusp form for GLm（Z） Voronoi’s summation formula Fourier coefficient of cusp forms RESONANCE 
几乎相等的三次华林-哥德巴赫问题的例外集
《中国科学：数学》2015年第1期23-30,共8页任秀敏 药艳君 
国家自然科学基金(批准号:10971119和11301325);教育部创新团队(批准号:IRT1264)资助项目
本文证明了对5≤s≤8,几乎所有的满足某些同余条件的正整数N都可以表示为N=p31+···+p3s,|pi-(N/s)1/3|≤N1/3-θs,其中θ5=7261-2ε,θ6=5159-ε,θ7=11333-ε,θ8=19561-ε.
关键词：华林-哥德巴赫问题 例外集 圆法 小区间上的素变数三角和估计 
Exponential sums involving Maass forms被引量：4
《Frontiers of Mathematics in China》2014年第6期1349-1366,共18页Qingfeng SUN Yuanying WU 
Acknowledgements This work was partially supported by the National Natural Science Foundation of China （Grant Nos. 11101239, 10971119）, the Program for Changjiang Scholars and Innovative Research Team in University （IRT1264）, and the Independent Innovation Foundation of Shandong University （Grant No. 2012ZRYQ005）.
We study the exponential sums involving l：burmr coeffcients ot Maass forms and exponential functions of the form e（anZ）, where 0 ≠ α∈R and 0 〈 β 〈 1. An asymptotic formula is proved for the nonlinear exponent...
关键词：Fourier coefficients of Maass form nonlinear exponential sum number-theoretic function 
Fractional Moments of Automorphic L-Functions on GL(m)被引量：1
《Chinese Annals of Mathematics,Series B》2011年第4期631-642,共12页Qinghua PI 
Project supported by the National Natural Science Foundation of China (No. 10971119)
Let πr be an irreducible unitary cuspidal representation of GL,^（AQ）, m ≥ 2. Assume that π is self-contragredient. The author gets upper and lower bounds of the same order for fractional moments of automorphic L-...
关键词：MOMENTS Automorphic L-functions GRC 
On the mean-square of the error term related ton ∑_（n≤x）λ~2（nj）被引量：2
《Science China Mathematics》2011年第5期855-864,共10页LAO HuiXue SANKARANARAYANAN Ayyadurai 
supported by National Natural Science Foundation of China (Grant Nos.11026075, 10971119);the Natural Science Foundation of Shandong Province (Grant No. ZR2009AQ007)
We prove a non-trivial upper bound for the quantity ∫X2|X ∑_(n≤x)λ~2(nj)-c(j-1)x| 2dx for j=2, 3, 4.
关键词：Rankin-Selberg zeta-function symmetric square L-functions mean-value theorems 
Resonance between automorphic forms and exponential functions被引量：9
《Science China Mathematics》2010年第9期2463-2472,共10页REN XiuMin1,& YE YangBo1,2 1School of Mathematics,Shandong University,Jinan 250100,China 2Department of Mathematics,The University of Iowa,Iowa City,Iowa 52242-1419,USA 
supported in part by National Basic Research Program of China (973-Program) (Grant No.);National Natural Science Foundation of China (Grant No.10971119)
Let f be a holomorphic cusp form of weight k for SL2(Z) and λf(n) its n-th Fourier coefficient.In this paper,the exponential sum X<n 2X λf(n)e(αnβ) twisted by Fourier coefficients λf(n) is proved toh ave a mai...
关键词：automorphic FORM EXPONENTIAL SUM RESONANCE 
On the Distribution of Integral Ideals and Hecke Grssencharacters
《Chinese Annals of Mathematics,Series B》2010年第3期385-392,共8页Huixue LAO 
Project supported by the National Natural Science Foundation of China (Nos. 10701048, 10971119);the Shandong Provincial Natural Science Foundation of China (No. ZR2009AQ007)
The author uses analytic methods to study the distribution of integral ideals and Hecke Grossencharacters in algebraic number fields. Nowak＇s results on the distribution of integral ideals, and Chandrasekharan and G...
关键词：Dedekind zeta-function Integral ideal Grossencharacters 
全选清除导出
共1页<1>
检索报告 对象比较 聚类工具 使用帮助 返回顶部