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Correlation of zeros of automorphic L-functions

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Science China Mathematics 2008年第7期51卷 1147-1166页

作者： LIU JianYa1 & YE YangBo1,2 1 School of Mathematics,Shandong university,Jinan 250100, China 2Department of Mathematics,the university of iowa,iowa city,ia 52.42.1419,usa 1. School of Mathematics Shandong University Jinan 250100 China 2. Department of Mathematics The University of Iowa Iowa City IA 52242-1419 USA

We compute the n-level correlation of normalized nontrivial zeros of a product of Lfunctions: L(s, π1) … L(s, π k ), where πj, j = 1, …, k, are automorphic cuspidal representations of GL mj (?A). Here the sizes of the groups GL mj (?A) are not necessarily the same. When these L(s, π j ) are distinct, we prove that their nontrivial zeros are uncorrelated, as predicted by random matrix theory and verified numerically. When L(s, π j ) are not necessarily distinct, our results will lead to a proof that the n-level correlation of normalized nontrivial zeros of the product L-function follows the superposition of Gaussian Unitary Ensemble (GUE) models of individual L-functions and products of lower rank GUEs. The results are unconditional when m 1, …, m k ? 4, but are under Hypothesis H in other cases.

关键词： automorphic L-function zero correlation Selberg’s orthogonality conjecture 11F70 11M26 11M41

Resonance between automorphic forms and exponential functions

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Science China Mathematics 2010年第9期53卷 2463-2472页

作者： REN XiuMin1,& YE YangBo1,2 1School of Mathematics,Shandong university,Jinan 250100,China 2Department of Mathematics,the university of iowa,iowa city,iowa 52.42.1419,usa 1. School of Mathematics Shandong University Jinan 250100 China2. Department of Mathematics The University of Iowa Iowa City Iowa 52242-1419 USA

Let f be a holomorphic cusp form of weight k for SL2(Z) and λf(n) its n-th Fourier *** this paper,the exponential sum X 详细信息

Let f be a holomorphic cusp form of weight k for SL2(Z) and λf(n) its n-th Fourier *** this paper,the exponential sum X

关键词： automorphic form exponential sum resonance

SOME INITiaL-OBLIQUE DERIVATIVE BOUNDARY VALUE PROBLEM FOR QUASILINEAR PARABOLIC EQUATIONS WITH UNBOUNDED COEFFICIENTS

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Journal of Systems Science & Complexity 2001年第3期14卷 269-277页

作者： ZOU Benteng (School Of Mathematics Science, Peking university, Beijing 100871, China 15 MLH university Of iowa, iowa city, ia 52.42.1419, usa) 北京大学北京 100871

In this paper, we consider quasilinear uniformly parabolic equations: Lu = aij (t, x, u)Diju + b(t, x u, Du) - ut = 0, with regular derivative boundary value problems: Bu = u/ v + au = h(t, x). By the help of Leray-sc... 详细信息

关键词： Quasilinear equations cordes derivative boundary condition.

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Introduction

Journal of Geriatric Cardiology 2005年第2期2卷 66-67页

作者： Brian Olshansky MD Guest Editor Professor of Medicine Director of Electrophysiology iowa university Medical Center the university of iowa iowa city ia

　　It is a great honor to introduce the first arrhythmia issue of the Journal of Geriatric Cardiology. One goal of this Issue is to encourage discourse between East and West and to provide contrasts in management philosophies. The contributors representing some of the prominent in their field from the East and from the West do just this. Several contributors from the West have had prior experience in the East so they can understand cultural difference that might affect medical management approaches.……

关键词： honor encourage representing arrhythmia discourse prior overview Introduction fibrillation dissemination

Design and implementation of an optical simulation environment for bioluminescent tomography studies

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Progress in Natural Science:Materials International 2007年第1期17卷 87-94页

作者： LI Hui, TiaN Jie, LUO Jie, LU Yujie, CONG Wenxiang and WANG Ge ( Department of Education Technology, Capital Normal university, Beijing 100037, China Key Laboratory of Complex Systems and Intelligence Science, Institute of Automation, Chinese Academy of Sciences, Beijing 100080, China Bioluminescent Tomography Laboratory, Department of Radiology & Department of Biomedical Engineering, university of iowa, iowa city, iowa 522.2. usa) [a]Departhent of Education Technology Capital Normal University Beijing China [b]Key Laboratoiy of Omplex Systems and Intelligence Science Institute of Automation Chinese Academy of Sciences Beijing China [c]Bioluminescent Tomography Laboratoiy Department of Radiology & Department of Biomedical Engineering University of Iowa Iowa City tIowa USA

As a challenging task for bioluminescent tomography simulation, a virtual optical environment is needed to solve the forward problem accurately, that is, to achieve a high precision for bioluminescent signal synthesis on the external body surface of a small animal. The molecular optical simulation environment named MOSE is implemented using the C++ programming language and the OpenGL techniques, including a user-friendly interface with interactive tools facilitating users' operations. The accuracy of the virtual optical environment is verified by error analysis of mesh simplification and comparison between MOSE results and experimental data. This virtual optical environment is accurate, flexible and efficient to simulate the photon propagation in complicated tissues, which has a great potential to become a software platform for bioluminescent tomography studies and other molecular imaging applications.

关键词： molecular imaging biolumlnescent tomography photon propagation Monte Carlo method.

THE KACANOV METHOD FOR A NONLINEAR VARiaTIONAL INEQUALITY OF THE SECOND KIND ARISING IN ELASTOPLASTIcity

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Chinese Annals of Mathematics,Series B 1996年第2期17卷 129-138页

作者： HAN WEIMIN S. JENSEN Department of Mathematics University of Iowa Iowa City IA 52242 U.S.A.Department of Mathematics University of Maryland Baltimore County Baltimore MD 21228 U.S.A.

The authors first prove a convergence result on the Ka(?)anov method for solving generalnonlinear variational inequalities of the second kind and then apply the Kacanov method tosolve a nonlinear variational inequality of the second kind arising in elastoplasticity. In additionto the convergence result, an a posteriori error estimate is shown for the Kacanov iterates. Ineach step of the Ka(?)anov iteration, one has a (linear) variational inequality of the secondkind, which can be solved by using a regularization technique. The Ka(?)anov iteration andthe regularization technique together provide approximations which can be readily computednumerically. An a posteriori error estimate is derived for the combined effect of the Ka(?)anoviteration and the regularization.

关键词： Kacanov method Nonlinear variational inequality of the second kind Convergence Regularization A posteriori error estimate

ON DISTRIBUTIVE MODULES AND LOCALLY DISTRIBUTIVE RINGS

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Chinese Annals of Mathematics,Series B 1991年第1期12卷 26-32页

作者： K.R.Fuller 薛卫民 Department of Mathematics University of Iowalowa CityIowaU.S.A. Department of Mathematics Fujian Normal UniversityFuzhouFujianChina.

Distributive modules over artinian rings are characterized via module diagrams,andit is shown that a left artinian ring is(two-sided)locally distributive in case its leftindecomposable injective modules and projective modules are *** latter resultis used to show that a locally distributive artinian ring and the endomorphism ring of itsminimal cogenerator have identical diagrams.

关键词： projective identical sided latter rings locally maximal 任尹 algebra indeed

Right ventricular pacing: the best site is yet to be defined

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Journal of Geriatric Cardiology 2005年第2期2卷 107-108页

作者： Brian Olshansky Cardiac Electrophysiology university of iowa Hospitals 4426A JCP 200 Hawkins DriveIowa CityIA 52242USA

The right ventricular (RV) apex is the traditional site to provide stable and reliable chronic ventricular pacing. Interest in alternate site pacing has grown since RV apical pacing has been associated with increased mortality and morbidity compared to normal atrio-ventricular conduction. 1-4 Alternate pacing sites include the RV septum and outflow tract.

关键词： QRS Right ventricular pacing the best site is yet to be defined RV

On Extension of Isometries in (F)-Spaces

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Acta Mathematica Sinica,English Series 1996年第1期12卷 1-9页

作者： Ding Guanggui Huang Senzhong Department of Mathematics Nankai university Tianjin, 300071 China Department of Mathematics university of iowa iowa city ia 522.2.usa Department of Mathematics Nankai university Tianjin, 300071 China Mathematisehes Institut Universitat Tubingen Auf der Morgenstelle 10 72076 Tubingen Germany 南开大学数学系天津

An(F)-space E is said to be locally midpoint constricted (in short, Imp-constricted) if there exists some δ>0 such that D(A/2)iameter of A. Our m... 详细信息

An(F)-space E is said to be locally midpoint constricted (in short, Imp-constricted) if there exists some δ>0 such that D(A/2)iameter of A. Our main result goes as follow: Let E be an Imp-constricted (F)-space and U an open connected subset of E. Assume that T:U→F is an isometry (i.e., a distance-preserving map) which maps U onto an open subset of the (F)-space F. Then T can be extended to an affine homeomorphism from E to F. Also, some other results about the question whether each isometry between two (F)-spaces is affine are obtained.

关键词： Locally midpoint constricted Isometry Affine homeomorphism