International Symposium in Memory of Hua Loo Keng

International Symposium in Memory of Hua Loo Keng
Author: Sheng Gong
Publisher: Springer
Total Pages: 356
Release: 2013-12-21
Genre: Mathematics
ISBN: 366207981X

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.

Selected Papers of Wang Yuan

Selected Papers of Wang Yuan
Author: Yuan Wang
Publisher: World Scientific
Total Pages: 512
Release: 2005
Genre: Mathematics
ISBN: 9812701192

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."

Eigenvalues of the Laplacian for Hecke Triangle Groups

Eigenvalues of the Laplacian for Hecke Triangle Groups
Author: Dennis A. Hejhal
Publisher: American Mathematical Soc.
Total Pages: 177
Release: 1992
Genre: Automorphic functions
ISBN: 0821825291

Paper I is concerned with computational aspects of the Selberg trace formalism, considering the usual type of eigenfunction and including an analysis of pseudo cusp forms and their residual effects. Paper II examines the modular group PSL (2, [bold]Z), as such groups have both a discrete and continuous spectrum. This paper only examines the discrete side of the spectrum.

A Mathematician and His Mathematical Work

A Mathematician and His Mathematical Work
Author: Shiing-Shen Chern
Publisher: World Scientific
Total Pages: 734
Release: 1996
Genre: Mathematics
ISBN: 9789810223854

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.

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
Total Pages: 374
Release: 1999-12-16
Genre:
ISBN: 9814543276

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.

Wolf Prize in Mathematics

Wolf Prize in Mathematics
Author: Shiing-Shen Chern
Publisher: World Scientific
Total Pages: 780
Release: 2000
Genre: Mathematics
ISBN: 9789810239459

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.

Geometric Analysis and Integral Geometry

Geometric Analysis and Integral Geometry
Author: Eric Todd Quinto
Publisher: American Mathematical Soc.
Total Pages: 299
Release: 2013
Genre: Mathematics
ISBN: 0821887386

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.

Mathematical Constants

Mathematical Constants
Author: Steven R. Finch
Publisher: Cambridge University Press
Total Pages: 634
Release: 2003-08-18
Genre: Mathematics
ISBN: 9780521818056

Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book is helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example, combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This work represents an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

Value Distribution Theory

Value Distribution Theory
Author: Yang Lo
Publisher: Springer Science & Business Media
Total Pages: 280
Release: 2013-04-17
Genre: Mathematics
ISBN: 3662029154

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