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Complex Analysis with Applications to Number Theory

Tarlok Nath Shorey author

Format:Paperback

Publisher:Springer Verlag, Singapore

Published:14th Nov '21

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Complex Analysis with Applications to Number Theory cover

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. 


“This book covers essential materials of complex analysis and contains special topics on number theory. … This book is elegantly written and self-contained with rigorous proofs. It is an attractive introductory book for those who are interested in not only complex analysis but also analytic number theory.” (Jongho Yang, Mathematical Reviews, April, 2022)

“The strength of this text is in its concise but complete development of each topic. ... Shorey’s text is best used for a second complex analysis course covering a range of advanced topics … .” (Ian Whitehead, MAA Reviews, January 10, 2022)

“The book can serve as a reference source for readers interested in mathematical relations between complex analysis and number theory. Also, it can attract amateurs of classical conjectures for the Riemann zeta function.” (Dmitri V. Prokhorov, zbMATH 1467.30001, 2021)

ISBN: 9789811590993

Dimensions: unknown

Weight: unknown

287 pages

1st ed. 2020