|
|
|
题名
|
作者
|
年代
|
出处
|
被引量
|
| 1 | Functoriality of automorphic L-functions through their zeros显示文摘Let E be a Galois extension of Q of degree , not necessarily solvable. In this paper we first prove that the L-function L(s,π) attached to an automorphic cuspidal representation π of GLm(EA) cannot be factored nontrivially into a product of L-functions over E. Next, we compare the n-level correlation of normalized nontrivial zeros of L(s,π1)···L(s,πk), where πj, j = 1,...,k, are automorphic cuspidal representations of GLmj(QA), with that of L(s,π). We prove a necessary condition for L(s,π) having a factorization into a product of L-functions attached to automorphic cuspidal representations of specific GLmj(QA), j = 1,...,k. In particular, if π is not invariant under the action of any nontrivial σ∈ GalE/Q, then L(s,π) must equal a single L-function attached to a cuspidal representation of GLm (QA) and π has an automorphic induction, provided L(s,π) can factored into a product of L-functions over Q. As E is not assumed to be solvable over Q, our results are beyond the scope of the current theory of base change and automorphic induction. Our results are unconditional when m,m1,...,mk are small, but are under Hypothesis H and a bound toward the Ramanujan conjecture in other cases. | LIU JianYa YE YangBo | 2009 | Science China Mathematics2009，52，1： | 2 |
| 2 | Spectral square moments of a resonance sum for Maass forms显示文摘让 f 是为有 Fourier 系数 f (n) 和 Laplace 特征值 \ 的 0(N) 的一种 Maass 尖顶形式(\frac { 1 }{ 4 }+ k ^ 2 \) 。真的 0 并且 > 0,认为和 S X 是 (f;,) 是紧缩的支持的光滑的功能的 = n f (n)e(n )(n/X), 。我们证明界限为第二光谱 S X (f 的时刻;,) ,与向无穷趋于的特征值。当特征值足够地大时,我们以 X 为这和获得平均界限。如果 f 在 \ 以外有它的特征值,这暗示那(X ^{\tfrac { 1 }{ 2 }+\varepsilon }\) ,标准回声为 S X (f 的主要术语;\(\pm 2 \sqrt q \) , 1/2 ) , q +, 不能一般来说出现。方法为 GL (2 ) 为 Rankin-Selberg L 功能从 subconvexity | Nathan SALAZAR Yangbo YE | 2017 | Frontiers of Mathematics in China2017，12，5： | 2 |
| 3 | Weighted stationary phase of higher orders显示文摘这份报纸的主题是有由 g 加权的阶段 f (x) 的指数的摆动的积分有限间隔上的(x)[] :当阶段 f (x) 在() 有一个单个静止的点时,这的第 n 顺序的 asymptotic 扩大积分为 n 被证明 2:这 asymptotic 扩大削尖 n = 的古典结果 1 由 M.N. 赫克斯利。类似的 asymptotic 扩大被 V 证明。Blomer, R。中亚细亚并且在 f (x) 和 g (x) 是光滑的假设和 g (x) 下面年轻的 M. 简洁地在 R 上被支持:在现在的纸,然而,这些功能仅仅被假定连续地可辨在上[] 2n + 3 并且 2n + 1 次分别地。因为在端点 g (x) 和它的衍生物消失上没有要求并且,现在的 asymptotic 扩大总体上包含明确的边界术语并且错误术语。在这份报纸的 asymptotic 扩大对在分析,分析数字理论,和另外的地的问题的一个更宽的班因此适用。 | Mark MCKEE Haiwei SUN Yangbo YE | 2017 | Frontiers of Mathematics in China2017，12，3： | 2 |
| 4 | A Gen- eral Exact Reconstruction for Cone - Beam CT via Back projection - Filtration 显示文摘 | Yangbo Ye Shiying Zhao Hengyong Yu | 2005 | IEEE Trans Med Imag2005，24，9： | 1 |
| 5 | Approximate and exact conebeam reconstruction with standard and non-standard spiral scanning 显示文摘 | Wang Ge Ye Yangbo Yu Hengyong | 2007 | Phys Med Biol2007，52，： | 1 |
| 6 | A proof of Selberg’s orthogonality for automorphic L-functions显示文摘 | Jianya Liu Yonghui Wang Yangbo Ye | 2005 | manuscripta mathematica2005，，2： | 1 |
| 7 | Perron' s formula and the prime number theorem for automophic L-functions显示文摘 | Jianya Liu and Yangbo Ye | 2007 | Pure Appl Math2007，3，： | 1 |
| 8 | Subconvexity for Rankin-Selberg L-Functions of Maass Forms显示文摘 | Jianya Liu Yangbo Ye | 2002 | Geometrical and Functional Analysis GAFA2002，，6： | 1 |
| 9 | Filtered baekprejeetion formular for exact image reconstruction from cone-beam data along a general scanning curve显示文摘 | Ye Yangbo Wang Ge | 2005 | Medical Physics2005，32，： | 1 |
| 10 | A general exact reconstruction for cone-beam CT via backprojection-filtration 显示文摘 | Ye Yangbo Zhao Shiying Yu Hengyong | 2005 | IEEE Trans Medical Imaging2005，24，： | 1 |
| 11 | A backprojectionfiltration algorithm for nonstandard spiral cone-beam CT with an nPI-window显示文摘 | Yu Hengyong Ye Yangbo Zhao Shiying | 2005 | Physics in Medicine and Biology2005，50，： | 1 |
| 12 | Exact BPF and FBP algorithms for nonstandard saddle curves显示文摘 | Yu Hengyong Zhao Shiying Ye Yangbo | 2005 | Medical Physics2005，32，： | 1 |
| 13 | An Updated Review of Event Attribution Approaches显示文摘There have been considerable high-impact extreme events occurring around the world in the context of climate change.Event attribution studies,which seek to quantitatively answer whether and to what extent anthropogenic climate change has altered the characteristics-predominantly the probability and magnitude-of particular events,have been gaining increasing interest within the research community.This paper reviews the latest approaches used in event attribution studies through a new classification into three major categories according to how the event attribution question is framed-namely,the risk-based approach,the storyline approach,and the combined approach.Four approaches in the risk-based framing category and three in the storyline framing category are also reviewed in detail.The advantages and disadvantages of each approach are discussed.Particular attention is paid to the ability,suitability,and applicability of these approaches in attributing extreme events in China,a typical monsoonal region where climate models may not perform well.Most of these approaches are applicable in China,and some are more suitable for analyzing temperature events.There is no right or wrong among these approaches,but different approaches have different framings.The uncertainties in attribution results come from several aspects,including different categories of framing,different conditions in climate model approaches,different models,different definitions of the event,and different observational data used.Clarification of these aspects can help to understand the differences in attribution results from different studies. | Cheng QIAN Yangbo YE Yang CHEN Panmao ZHAI | 2022 | Journal of Meteorological Research2022，36，2： | 1 |
| 14 | Resonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for GL_m(Z)显示文摘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 formula, a smoothly weighted average of Af(n, 1,..., 1) against e(α|n|β) is proved to be rapidly decayed when 0 < β < 1/m. When β = 1/m and α equals or approaches ±mq1/mfor a positive integer q, this smooth average has a main term of the size of |Af(1,..., 1, q) + Af(1,..., 1,-q)|X1/(2m)+1/2, which is a manifestation of resonance of oscillation exhibited by the Fourier coefficients Af(n, 1,..., 1). Similar estimate is also proved for a sharp-cut sum. | REN XiuMin YE YangBo | 2015 | Science China Mathematics2015，58，10： | 1 |
| 15 | A proof of Selberg’s orthogonality for automorphic L-functions显示文摘 | Jianya Liu Yonghui Wang Yangbo Ye | 2005 | manuscripta mathematica2005，，2： | 1 |
| 16 | A proof of Selberg’s orthogonality for automorphic L-functions显示文摘 | Jianya Liu Yonghui Wang Yangbo Ye | 2005 | manuscripta mathematica2005，，2： | 1 |
| 17 | Double square moments and subconvexity bounds for Rankin-Selberg L-functions of holomorphic cusp forms显示文摘Let f and g be holomorphic cusp forms of weights k1 and k2 for the congruence subgroups TO(N1)and Γ0(N2),respectively.In this paper the square moment of the Rankin-Selberg L-function for f and g in the aspect of both weights in short intervals is bounded,when k1^ε < | Jianya Liu Haiwei Sun Yangbo Ye | 2020 | Science China Mathematics2020，63，5： | 0 |
您所在的机构暂未开通此部分的功能，请联系管理员