ISBN-13: 9783662079836 / Angielski / Miękka / 2014 / 356 str.
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. Wustholz: 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 Szego 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."