International Symposium in Memory of Hua Loo Keng
International Symposium in Memory of Hua Loo Keng

Author: Sheng Gong

Publisher: Springer

Published: 2013-12-21

Total Pages: 356

ISBN-13: 366207981X

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The international symposium on number theory and analysis in memory of the late famous Chinese mathematician Professor Hua Loo Keng took place in August 1988 at the Tsinghua University in Beijing. Excellent survey lectures and expositions of the most recent results in number theory and analysis were given by experts from all over the world. While Volume I focuses on number theory, Volume II deals mainly with several complex variables, differential geometry and classical complex analysis. Both volumes also include two fascinating accounts of Professor Hua Loo Keng's life and work by Professor S. Iyanaga and Professor Wang Yuan. Highlights in Volume I: D.A. Hejhal: Eigenvalues of the Laplacian for PSL (2 Z): Some new Results and Computational Techniques.- A.A. Karatsuba: On the Zeros of Riemann's Zeta-Function on the Critical Line.- H.E. Richert: Aspects of the Small Sieve.- W.M. Schmidt: On the Number of Good Simultaneous Approximations to Algebraic Numbers.- M.V. Subbarao, Wang Yuan: On a Generalized Waring's Problem in Algebraic Number Fields.- G. WA1/4stholz: From Baker to Mordell. Highlights in Volume II: F. Capocasa, F. Catanese: Periodic Meroporphic Functions and Lefschetz Type Theorems on Quasi-Abelian Varieties.- S.S. Chern: Families of Hypersurfaces Under Contact Transformations in Rn.- G. Dethloff, H. Grauert: On the Infinitesimal Deformation of Simply Connected Domains in One Complex Variable.- D. Drasin: Asymptotic Periods of Entire and Meromorphic Functions.- D. Gaier: On the Convergence of the Bieberbach Polynomials in Regions With Corners.- Gong Sheng, Zheng Xuena: Distortion Theorem for Biholomorphic Mappings in Transitive Domains (I).- C.O. Kiselman: Tangents of Plurisubharmonic Functions.- A. KorAnyi: Hua-Type Integrals, Hypergeometric Functions and Symmetric Polynomials.- J. Mitchell: Two-Sided L1-Estimates for SzegA Kernels on Classical Domains.- I. Satake: On the Rational Structures of Symmetric Domains, I.- Y.-T. Siu: Some Problems of Rigidity in Several Complex Variables.- S.-T. Yau, F. Zheng: On Projective Manifolds Covered by Space in Cn.

Geometric Analysis and Integral Geometry
Geometric Analysis and Integral Geometry

Author: Eric Todd Quinto

Publisher: American Mathematical Soc.

Published: 2013

Total Pages: 299

ISBN-13: 0821887386

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Provides an historical overview of several decades in integral geometry and geometric analysis as well as recent advances in these fields and closely related areas. It contains several articles focusing on the mathematical work of Sigurdur Helgason, including an overview of his research by Gestur Olafsson and Robert Stanton.

Complex Geometry
Complex Geometry

Author: Ingrid Bauer

Publisher: Springer Science & Business Media

Published: 2011-06-28

Total Pages: 357

ISBN-13: 3642562027

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This volume contains a collection of research papers dedicated to Hans Grauert on the occasion of his seventieth birthday. Hans Grauert is a pioneer in modern complex analysis, continuing the il lustrious German tradition in function theory of several complex variables of Weierstrass, Behnke, Thullen, Stein, Siegel, and many others. When Grauert came on the scene in the early 1950's, function theory was going through a revolutionary period with the geometric theory of complex spaces still in its embryonic stage. A rich theory evolved with the joint efforts of many great mathematicians including Oka, Kodaira, Cartan, and Serre. The Car tan Seminar in Paris and the Kodaira Seminar provided important venues an for its development. Grauert, together with Andreotti and Remmert, took active part in the latter. In his career he has nurtured a great number of his own doctoral students as well as other young mathematicians in his field from allover the world. For a couple of decades his work blazed the trail and set the research agenda in several complex variables worldwide. Among his many fundamentally important contributions, which are too numerous to completely enumerate here, are: 1. The complete clarification of various notions of complex spaces. 2. The solution of the general Levi problem and his work on pseudo convexity for general manifolds. 3. The theory of exceptional analytic sets. 4. The Oka principle for holomorphic bundles. 5. The proof of the Mordell conjecture for function fields. 6. The direct image theorem for coherent sheaves.

Dynamical Systems - Proceedings Of The International Conference In Honor Of Professor Liao Shantao
Dynamical Systems - Proceedings Of The International Conference In Honor Of Professor Liao Shantao

Author: Lan Wen

Publisher: World Scientific

Published: 1999-12-16

Total Pages: 374

ISBN-13: 9814543276

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This volume constitutes the proceedings of the International Conference on Dynamical Systems in Honor of Prof. Liao Shantao (1920-97). The Third World Academy of Sciences awarded the first ever mathematics prize in 1985 to Prof. Liao in recognition of his foundational work in differentiable dynamical systems and his work in periodic transformation of spheres. The conference was held in Beijing in August 1998. There were about 90 participants, and nearly 60 talks were delivered.The topics covered include differentiable dynamics, topological dynamics, hamiltonian dynamics, complex dynamics, ergodic and stochastic dynamics, and fractals theory. Dynamical systems is a field with many difficult problems, and techniques are being developed to deal with those problems. This volume contains original studies of great mathematical depth and presents some of the fascinating numerical experiments.

Complex Analysis in Number Theory
Complex Analysis in Number Theory

Author: Anatoly A. Karatsuba

Publisher: CRC Press

Published: 1994-11-22

Total Pages: 218

ISBN-13: 9780849328664

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This book examines the application of complex analysis methods to the theory of prime numbers. In an easy to understand manner, a connection is established between arithmetic problems and those of zero distribution for special functions. Main achievements in this field of mathematics are described. Indicated is a connection between the famous Riemann zeta-function and the structure of the universe, information theory, and quantum mechanics. The theory of Riemann zeta-function and, specifically, distribution of its zeros are presented in a concise and comprehensive way. The full proofs of some modern theorems are given. Significant methods of the analysis are also demonstrated as applied to fundamental problems of number theory.

Selected Papers of Wang Yuan
Selected Papers of Wang Yuan

Author: Yuan Wang

Publisher: World Scientific

Published: 2005

Total Pages: 512

ISBN-13: 9812701192

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This volume presents a comprehensive collection of Wang YuanOCOs original important papers which are not available elsewhere, since the majority of the papers were published in China. Covering both pure number theory and applied mathematics, this book is important for understanding Wang YuanOCOs academic career and also the development of Chinese mathematics in recent years, since Wang YuanOCOs work has a wide-ranging influence in China. Wang Yuan is a professor and academician of the Chinese Academy of Sciences. He received his honorable Doctorship from Hong Kong Baptist University. He has published 70 papers and ten books."

Mathematician And His Mathematical Work, A: Selected Papers Of S S Chern
Mathematician And His Mathematical Work, A: Selected Papers Of S S Chern

Author: Shiu-yuen Cheng

Publisher: World Scientific

Published: 1996-09-07

Total Pages: 732

ISBN-13: 9814499978

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This volume is about the life and work of Shiing-Shen Chern (1911-), one of the leading mathematicians of this century. The book contains personal accounts by some friends, together with a summary of the mathematical works by Chern himself. Besides a selection of the mathematical papers the book also contains all his papers published after 1988.

Value Distribution Theory
Value Distribution Theory

Author: Yang Lo

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 280

ISBN-13: 3662029154

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It is well known that solving certain theoretical or practical problems often depends on exploring the behavior of the roots of an equation such as (1) J(z) = a, where J(z) is an entire or meromorphic function and a is a complex value. It is especially important to investigate the number n(r, J = a) of the roots of (1) and their distribution in a disk Izl ~ r, each root being counted with its multiplicity. It was the research on such topics that raised the curtain on the theory of value distribution of entire or meromorphic functions. In the last century, the famous mathematician E. Picard obtained the pathbreaking result: Any non-constant entire function J(z) must take every finite complex value infinitely many times, with at most one excep tion. Later, E. Borel, by introducing the concept of the order of an entire function, gave the above result a more precise formulation as follows. An entire function J (z) of order A( 0 A

Wolf Prize in Mathematics
Wolf Prize in Mathematics

Author: Shiing-Shen Chern

Publisher: World Scientific

Published: 2000

Total Pages: 780

ISBN-13: 9789810239459

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This invaluable book features bibliographies, important papers, and speeches (for example at international congresses) of Wolf Prize winners. This is the first time that lectures by some Wolf Prize winners have been published together. Since the work of the Wolf laureates covers a wide spectrum, much of the mathematics of the twentieth century comes to life in this book.