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Theory of Numbers

A Textbook

By (author) K. Ramachandra
Genres: Number theory
Format: Hardback
Publisher: Alpha Science International Ltd, OXford, United Kingdom
Published: 29th Mar 2007
Dimensions: w 160mm h 240mm d 20mm
Weight: 635g
ISBN-10: 184265361X
ISBN-13: 9781842653616
Barcode No: 9781842653616
"Theory of Numbers: A Textbook" is aimed at students of Mathematics who are graduates or even undergraduates. Very little prerequisites are needed. The reader is expected to know the theory of functions of a real variable and in some chapters complex integration and some simple principles of complex function theory are assumed. The entire book is self contained except theorems 7 and 9 of chapter 11 which are assumed. The most ambitious chapter is chapter 11 where the most attractive result on difference between consecutive primes is proved. References to the latest developments like Heath-Brown's work and the work of R.C. Baker, G. Harman and J. Pintz alongwith readable accounts of Brun's sieve and also of Apery's Theorem on irrationality of zeta (3) are given. Finally the reader is acquainted with Montgomery-Vaughan Theorem in the last chapter. It is hoped that the reader will enjoy the leisurely style of presentation of many important results.

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