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Infosys Science Foundation Series in Mathematical Sciences

Complex Analysis with Applications to Number Theory

Authors: Shorey, Tarlok Nath

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  • Focuses on interactions of complex analysis with number theory
    Supplements suitable solved examples and problems with all chapters
    Is authored by the winner of the Shanti Swarup Bhatnagar Prize for Science and Technology

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eBook $59.99
price for USA in USD
  • ISBN 978-981-15-9097-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $74.99
price for USA in USD
About this Textbook

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 and undergraduate students of engineering, as well as to researchers in complex analysis and number theory. This theory is a prerequisite for the study of many areas of mathematics, including the theory of several finitely and infinitely many complex variables, hyperbolic geometry, two and three manifolds and number theory. In additional to solved examples and problems, the book covers most of the topics of current interest, such as Cauchy theorems, Picard’s theorems, Riemann–Zeta function, Dirichlet theorem, gamma function and harmonic functions. 


About the authors

TARLOK NATH SHOREY is a distinguished professor at the National Institute of Advanced Studies (situated in the campus of the Indian Institute of Science), Bengaluru, India. Earlier, he taught at the Department of Mathematics, Indian Institute of Technology Bombay, India. He also had been associated with the Tata Institute of Fundamental Research (TIFR), Mumbai, India, for a period of 42 years. Professor Shorey has done numerous momentous works on transcendental number theory and Diophantine equation. In 1987, he was awarded the Shanti Swarup Bhatnagar Prize for Science and Technology—the highest science award in India—in the Mathematical Sciences category. He has coauthored a book, Exponential Diophantine Equations, and has more than 142 research publications to his credit. He is fellow of the Indian National Science Academy (INSA), Indian Academy of Sciences (IASc) and The National Academy of Sciences (NASI).

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $59.99
price for USA in USD
  • ISBN 978-981-15-9097-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $74.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Complex Analysis with Applications to Number Theory
Authors
Series Title
Infosys Science Foundation Series in Mathematical Sciences
Copyright
2020
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-15-9097-9
DOI
10.1007/978-981-15-9097-9
Hardcover ISBN
978-981-15-9096-2
Series ISSN
2364-4036
Edition Number
1
Number of Pages
XVI, 287
Number of Illustrations
14 b/w illustrations
Topics