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

Shorey, T. N., author.
2020
QA300
Available Online
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Title
Complex analysis with applications to number theory / Tarlok Nath Shorey.
Author
Shorey, T. N., author.
ISBN
9789811590979 (electronic book)
9811590974 (electronic book)
9789811590962
DOI
https://doi.org/10.1007/978-981-15-9097-9
Published
Singapore : Springer, [2020]
Language
English
Description
1 online resource (xvi, 287 pages) : illustrations.
Item Number
10.1007/978-981-15-9097-9 doi
Call Number
QA300
Dewey Decimal Classification
515
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed January 21, 2021).
Series
Infosys Science Foundation series. Mathematical sciences.
Available in Other Form
Print version: 9811590966
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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.

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