Complex analysis with applications to number theory / Tarlok Nath Shorey.

The book discusses major topics in complex analysis with applications to number theory. This book is intended as a text for graduate students of mathematics, undergraduate students of engineering and researchers in fields of complex analysis and number theory. This theory is a prerequisite for the s...

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Bibliographic Details
Main Author: Shorey, T. N. (Author)
Format: eBook
Language:English
Published: Singapore : Springer, [2020]
Series:Infosys Science Foundation series. Mathematical sciences.
Subjects:
Online Access:Click for online access

MARC

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245 1 0 |a Complex analysis with applications to number theory /  |c Tarlok Nath Shorey. 
264 1 |a Singapore :  |b Springer,  |c [2020] 
300 |a 1 online resource (xvi, 287 pages) :  |b illustrations 
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490 1 |a Infosys Science Foundation series in mathematical sciences,  |x 2364-4036 
504 |a Includes bibliographical references and index. 
520 |a The book discusses major topics in complex analysis with applications to number theory. This book is intended as a text for graduate students of mathematics, undergraduate students of engineering and researchers in fields of complex analysis and number theory. This theory is a prerequisite for the study of various areas of mathematics, 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. 
505 0 |a Introduction And Preliminaries -- Cauchy Theorems and Their Applications -- Conformal Mappings and Riemann Mapping Theorem -- Picard's Theorems -- Factorisation of Analytic Functions in C and in a Region -- Gamma Function -- Riemann Zeta Function -- Dirichlet Series and Dirichlet Theorem -- Harmonic Functions -- Elliptic Functions and Modular Forms. 
588 0 |a Online resource; title from PDF title page (SpringerLink, viewed January 21, 2021). 
650 0 |a Mathematical analysis. 
650 0 |a Number theory. 
650 7 |a Análisis matemático  |2 embne 
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650 7 |a Mathematical analysis  |2 fast 
650 7 |a Number theory  |2 fast 
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776 0 8 |i Print version:  |z 9811590966 
830 0 |a Infosys Science Foundation series.  |p Mathematical sciences. 
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