# The Theory of the Riemann Zeta-Function (Oxford Science Publications)

Author | : | |

Rating | : | 4.59 (508 Votes) |

Asin | : | 0198533691 |

Format Type | : | paperback |

Number of Pages | : | 422 Pages |

Publish Date | : | 2017-02-14 |

Language | : | English |

DESCRIPTION:

The Riemann zeta-function embodies both additive and multiplicative structures in a single function, making it our most important tool in the study of prime numbers. The second edition has been revised to include descriptions of work done in the last forty years and is updated with many additional references; it will provide stimulating reading for postgraduates and workers in analytic number theory and classical analysis.. This volume studies all aspects of the theory, starting from first principles and probing the function's own challenging theory, with the famous and still unsolved "Riemann hypothesis" at its heart

Heath-Brown." --*The American Mathematical Monthly*. Thanks to the ample new material, this new edition makes very interesting reading, even for those who are familiar with the original." --*Mathematical Reviews*"A reprinting of this classic treatise with corrections and extensive end-of-chapter notes by D.R. "The first edition of this classical treatise appeared in 1951 Besides writing the updating and elucidating notes, covering all in all over 50 pages, the editor also has compiled a list of some 120 additional references to the more recent literature on the zeta-function

"An very comprehesive book for Zeta Function." according to Wan Koon Yat. Titchmarch is well known in the theory of functions, in this book, he described the Riemann's Zeta function in the most comprehensive way. ( e. g. in the topic of functional equation, he quoted 7 methods) I cannot find any other book more comprehensive than this one. ( though in order the theories, you must have some background knowledge and patience ! ). Important work but there are better books to learn from I've read meticulously the chapters in this book on the functional equation of the zeta function, the prime number theorem, the approximate functional equation, the order of the zeta function in the critical strip, and the Dirichlet divisor problem (which can be expressed as a question about the square of the zeta function), and also a sprinkling of material from some of the other chapters. This is not a bad book to learn from, but the author'. Complete source of the zeta function This is the true encyclopaedia of the zeta function. Although I prefer Ivic, I always have the feeling that Titchmarsh wants to appear brilliant.This book cannot be criticized because of the amount of time and effort that must have been spent on it. It was update in 1986 by Heath Brown.It is useless to summarize the contents because it mainly has everything, and most theorems have several proofs and very long comments.One thing that is missing

R. C. D. Titchmarsh was at University of Oxford. Heath-Brown is at Magdelen College, Oxford. . The late E