Complex Analysis with Applications to Number Theory
- Author
- Tarlok Nath Shorey
- Publication Year
- 2020
- Publisher
- Springer
- Language
- English
- Document Type
- Book
- Faculty / Subject Heading
- Computer Science
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The book discusses major topics in complex analysis with applications to number theory.It 's including the theory of several finitely and infinitely complex variables, hyperbolic geometry, two- and three-manifolds, and number theory. In addition to solved examples and problems, the book covers most topics of current interest, such as Cauchy theorems, Picard’s theorems, Riemann–Zeta function, Dirichlet theorem, Gamma function, and harmonic functions.
Keywords: Mathematics and Statistics / Analysis / Number Theory / Cauchy Theorem / Conformal Mappings / Riemann Mapping Theorem / Picards Theorems / Gamma Function / Riemann Zeta Function / Dirichlet Series / Dirichlet Theorem / Harmonic Functions / Elliptic Functions
