TY  - BOOK
AU  - Barry Simon
TI  - Advanced complex analysis:  : a comprehensive course in analysis, part 2B 
SN  - 978-1-4704-1101-5
AV  - QA300 
PY  - 2015///]
CY  - Rhode Island: 
PB  - American Mathematical Society, 
KW  - Mathematics
N1  - Chapter 12. Riemannian metrics and complex analysis
Chapter 13. Some topics in analytic number theory
Chapter 14. Ordinary differential equations in the complex domain
Chapter 15. Asymptotic methods
Chapter 16. Univalent functions and Loewner evolution
Chapter 17. Nevanlinna theory
N2  - Part 2B provides a comprehensive look at a number of subjects of complex analysis not included in Part 2A. Presented in this volume are the theory of conformal metrics (including the Poincaré metric, the Ahlfors-Robinson proof of Picard's theorem, and Bell's proof of the Painlevé smoothness theorem), topics in analytic number theory (including Jacobi's two- and four-square theorems, the Dirichlet prime progression theorem, the prime number theorem, and the Hardy-Littlewood asymptotics for the number of partitions), the theory of Fuchsian differential equations, asymptotic methods (including Euler's method, stationary phase, the saddle-point method, and the WKB method), univalent functions (including an introduction to SLE), and Nevanlinna theory. The chapters on Fuchsian differential equations and on asymptotic methods can be viewed as a minicourse on the theory of special functions. --- summary provided by publisher
ER  -