云南高校图书馆联盟文献共享服务平台- HECKE

HECKE: 作品数：40被引量：14H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关作者：韩冬春张德瑜史三英王志民李磊更多>>; 相关机构：山东师范大学山东大学合肥工业大学渭南师范学院更多>>; 相关期刊：《Journal of Mathematics and System Science》《Science China Mathematics》《Cybersecurity》《信息工程大学学报》更多>>; 相关基金：国家自然科学基金安徽省自然科学基金山东省自然科学基金国家重点基础研究发展计划更多>>

实解析Eisenstein级数的Fourier系数: 《中国科学：数学》2024年第9期1391-1412,共22页王天泽王天芹; 国家自然科学基金(批准号:11471112)资助项目。; 本文研究实解析Eisenstein级数在任意阶Hecke同余子群一般尖点处Fourier系数的计算问题,给出权为零的Eisenstein级数在一般尖点处Fourier展式中常数项的显式公式.; 关键词：FOURIER系数 Eisenstein级数 Hecke同余群尖点

两平方和整数列上尖形式傅里叶系数的高阶矩被引量：1: 《数学进展》2024年第1期115-124,共10页华国栋; Supported in part by the National Key Research and Development Program of China(No.2021YFA1000700);Natural Science Basic Research Program of Shaanxi(Nos.2023-JC-QN-0024,2023-JC-YB-077);Foundation of Shaanxi Educational Committee(No.2023-JC-YB-013);Shaanxi Fundamental Science Research Project for Mathematics and Physics(No.22JSQ010)。; 取f,g与h为在全模群Γ=SL(2,Z)上偶数权分别为k_(1),k_(2)与k_(3)的三个不同的本原全纯模形式.记λ_(f)(n),λ_(g)(n)与λ_(h)(n)分别为f,g与h的n阶正规化傅里叶系数.本文考察两平方和整数列上涉及算术函数λ_(f)(n),λ_(g)(n)与λ_(h)...; 关键词：Hecke特征型傅里叶系数自守L-函数

带有Hecke-Maass形式傅里叶系数的指数和估计: 《数学进展》2023年第6期1022-1028,共7页余亚辉李振平呼家源; 国家自然科学基金(No.12161031);河南省高等学校青年骨干教师培养计划项目(No.2019GGJS241);内蒙古自然科学基金(No.2021MS01003);内蒙古高等学校科学研究项目(No.NJZY21173); 设g(z)是拉普拉斯特征值为1/4+t^(2)的Hecke-Maass尖形式,λ_(g)(n)是g的第n个正规化傅里叶系数.本文研究与λ_(g)(n)相关的指数和,并给出估计式∑X; 关键词：尖点形式指数和傅里叶系数

三重积L-函数系数的变号与非零性质: 《数学进展》2023年第5期849-856,共8页华国栋; Supported financially in part by the National Key Research and Development Program of China(No.2021YFA1000700);Natural Science Basic Research Program of Shaanxi(Nos.2023-JC-QN-0024,2023-JCYB-077);Foundation of Shaanxi Educational Committee(No.2023-JCYB-013);Shaanxi Fundamental Science Research Project for Mathematics and Physics(No.22JSQ010); 取f,g与h分别为偶数权k_(1),k_(2)和k_(3)关于全纯模群SL(2,Z)上三个不同的正规化本原全纯模形式.令λ_(f×g×h)(n)为与f,g,h关联的三重积L-函数L(f×g×h,s)的第n个系数.本文给出了序列{Af×g×h(n)}_(n∈N)在n≤x上符号相同对于阶而...; 关键词：Hecke特征值傅里叶系数三重积L-函数变号

Congruences Involving Hecke-Rogers Type Series and Modular Forms: 《Journal of Mathematical Study》2023年第2期147-155,共9页Guo-Shuai Mao Yan Liu; supported by the National Natural Science Foundation of China(Grant No.12001288);China Scholarship Council(Grant No.202008320187).; In this paper,we prove two supercongruences of Hecke-Rogers type series and Modular forms conjectured by Chan,Cooper and Sica,such as,if z_(2)∞∑m=-∞n=-∞,q^(m^(2+n^(2))),x_(2)=η^(12)(2ι)/_(2)^(6)and z_(2)=∞∑n=0...; 关键词：Supercongruences mordular forms Hecke-Rogers type series p-adic Gamma function

涉及Hecke-特征值的问题被引量：1: 《大学数学》2022年第3期12-16,共5页耿贝娜史三英; 安徽省自然科学青年基金项目(1208085QA01);合肥工业大学研究生教改基金项目(2019YJG19)。; 涉及Hecke-特征值的因数问题一直以来都是数论学者的重要研究对象之一.本文研究了一个与经典Maass尖点形式的Hecke特征值有关的一般因数问题,并得到了一个更好的余项估计.文章通过引入Bourgain最近得出的一个研究成果,并结合前人已证的...; 关键词：Hecke-特征值因数和 L-函数

FURTHER EXTENSIONS OF SOME TRUNCATED HECKE TYPE IDENTITIES: 《Acta Mathematica Scientia》2022年第1期73-90,共18页Helen W.J.ZHANG; Supported by the National Natural Science Foundation of China(11871370 and 12001182);the Fundamental Research Funds for the Central Universities(531118010411)。; The main purpose of this paper is to generalize the study of the Hecke-Rogers type series,which are the extensions of truncated theorems obtained by Andrews,Merca,Wang and Yee.Our proofs rely heavily on the theory of ...; 关键词：theta functions truncated series Bailey pair Bailey transform

Higher Signs for Coxeter Groups: 《Peking Mathematical Journal》2021年第2期285-303,共19页Zhiwei Yun; We define and study cocycles on a Coxeter group in each degree generalizing the sign function.When the Coxeter group is a Weyl group,we explain how the degree three cocycle arises naturally from geometric representati...; 关键词：Coxeter groups COCYCLES Hecke category

Deriving invariant checkers for critical infrastructure using axiomatic design principles: 《Cybersecurity》2021年第1期67-90,共24页Cheah Huei Yoong Venkata Reddy Palleti Rajib Ranjan Maiti Arlindo Silva Christopher M Poskitt; the National Research Foundation,Singapore,under its National Satellite of Excellence Programme“Design Science and Technology for Secure Critical Infrastructure”(Award Number:NSoE DeST-SCI2019-0004).; Cyber-physical systems(CPSs)in critical infrastructure face serious threats of attack,motivating research into a wide variety of defence mechanisms such as those that monitor for violations of invariants,i.e.logical p...; 关键词：Cyber-physical systems Critical infrastructure Industrial control systems Systematic design framework Axiomatic design INVARIANTS Anomaly detection Supervised machine learning

On the first negative Hecke eigenvalue of an automorphic representation of GL_(2)(A_(Q)): 《Science China Mathematics》2021年第11期2381-2394,共14页Yuk-Kam Lau Ming Ho Ng Hengcai Tang Yingnan Wang; supported by General Research Fund of the Research Grants Council of Hong Kong(Grant Nos.17313616 and 17305617);supported by National Natural Science Foundation of China(Grant No.11871193);the Program for Young Scholar of Henan Province(Grant No.2019GGJS026);supported by National Natural Science Foundation of China(Grant No.11871344)。; Letπbe a self-dual irreducible cuspidal automorphic representation of GL_(2)(A_(Q))with trivial central character.Its Hecke eigenvalue λπ(n)is a real multiplicative function in n.We show that λπ(n)<0 for some n<<...; 关键词：automorphic representation Hecke eigenvalue Maass cusp form sign change

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