The Theory of the Riemann Zeta-function

Author: Late Savilian Professor of Geometry E C Titchmarsh,Titchmarsh, Edward Charles Titchmarsh,Edward Charles Titchmarsh,D. R. Heath-Brown

Publisher: Oxford University Press

ISBN: 9780198533696

Category: Architecture

Page: 412

View: 7608

DOWNLOAD NOW »

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. 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. 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.

Exploring the Riemann Zeta Function

190 years from Riemann's Birth

Author: Hugh Montgomery,Ashkan Nikeghbali,Michael Th. Rassias

Publisher: Springer

ISBN: 3319599690

Category: Mathematics

Page: 298

View: 301

DOWNLOAD NOW »

Exploring the Riemann Zeta Function: 190 years from Riemann's Birth presents a collection of chapters contributed by eminent experts devoted to the Riemann Zeta Function, its generalizations, and their various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis, Probability Theory, and related subjects. The book focuses on both old and new results towards the solution of long-standing problems as well as it features some key historical remarks. The purpose of this volume is to present in a unified way broad and deep areas of research in a self-contained manner. It will be particularly useful for graduate courses and seminars as well as it will make an excellent reference tool for graduate students and researchers in Mathematics, Mathematical Physics, Engineering and Cryptography.

Schönheit und Geometrie der Zetafunktion

Beobachtungen und Skizzen

Author: Thomas Kromer

Publisher: BoD – Books on Demand

ISBN: 3842305389

Category: Mathematics

Page: 116

View: 6661

DOWNLOAD NOW »

Die Zeta- und die Etafunktion gehören zu den komplexesten Objekten der Mathematik. In einem strikt geometrischen Ansatz erhalten wir unerwartet schöne Bilder ihres Verlaufs durch die komplexe Zahlenebene, zum Teil verblüffende Zusammenhänge werden in 48 Farbabbildungen illustriert. So können wir nachvollziehen, warum Nullstellen nur für komplexe Zahlen s mit einem Realteil von 0,5 möglich sind. Die Riemannsche Vermutung wird plötzlich plausibel!

Bulletin

Classe des sciences mathématiques et naturelles. Sciences mathématiques

Author: Srpska akademija nauka i umetnosti

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 9245

DOWNLOAD NOW »

Functions of One Complex Variable I

Author: John B. Conway

Publisher: Springer Science & Business Media

ISBN: 9780387903286

Category: Mathematics

Page: 317

View: 7597

DOWNLOAD NOW »

This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - 8 arguments. The actual pre requisites for reading this book are quite minimal; not much more than a stiff course in basic calculus and a few facts about partial derivatives. The topics from advanced calculus that are used (e.g., Leibniz's rule for differ entiating under the integral sign) are proved in detail. Complex Variables is a subject which has something for all mathematicians. In addition to having applications to other parts of analysis, it can rightly claim to be an ancestor of many areas of mathematics (e.g., homotopy theory, manifolds). This view of Complex Analysis as "An Introduction to Mathe matics" has influenced the writing and selection of subject matter for this book. The other guiding principle followed is that all definitions, theorems, etc.

Applications of Random Matrices in Physics

Author: Édouard Brezin,Vladimir Kazakov,Didina Serban,Paul Wiegmann,Anton Zabrodin

Publisher: Springer Science & Business Media

ISBN: 9781402045295

Category: Mathematics

Page: 513

View: 3274

DOWNLOAD NOW »

Proceedings of the NATO Advanced Study Institute on Applications of Random Matrices in Physics, Les Houches, France, 6-25 June 2004

CMFT

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Geometric function theory

Page: N.A

View: 7379

DOWNLOAD NOW »

The Mysteries of the Real Prime

Author: M. J. Shai Haran

Publisher: Oxford University Press

ISBN: 9780198508687

Category: Mathematics

Page: 240

View: 3698

DOWNLOAD NOW »

Highly topical and original monograph, introducing the author's work on the Riemann zeta function and its adelic interpretation of interest to a wide range of mathematicians and physicists.

Actas

Author: Antonio A. R. Monteiro

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 2589

DOWNLOAD NOW »

Die Musik der Primzahlen

auf den Spuren des größten Rätsels der Mathematik

Author: Marcus Du Sautoy

Publisher: C.H.Beck

ISBN: 9783406523205

Category: Primzahl

Page: 398

View: 6995

DOWNLOAD NOW »

Mathematics for the General Reader

Author: E.C. Titchmarsh

Publisher: Courier Dover Publications

ISBN: 0486821188

Category: Mathematics

Page: 192

View: 2778

DOWNLOAD NOW »

"A first-class mathematician's lucid, unhurried account of the science of numbers from arithmetic through the calculus." — James R. Newman, The World of Mathematics. This highly accessible introduction to mathematics is geared toward readers seeking a firm grasp of the essentials of mathematical theory and practice. The treatment also offers a concise outline of mathematical history and a clearer notion of why mathematicians do what they do. Author E. C. Titchmarsh, who served for many years as Savilian Professor of Geometry at Oxford University, begins with counting and the fundamentals of arithmetic. He guides readers through the complexities of algebra, fractions, geometry, irrational numbers, logarithms, infinite series, complex numbers, quadratic equations, trigonometry, functions, and integral and differential calculus. Titchmarsh's graceful, fluid style helps make complicated topics easier to grasp, and his inclusion of numerous examples will prove especially helpful to readers with little or no background in mathematics.

Reviews in Number Theory, 1984-96

As Printed in Mathematical Reviews

Author: N.A

Publisher: Amer Mathematical Society

ISBN: 9780821809372

Category: Mathematics

Page: 1012

View: 4961

DOWNLOAD NOW »

These six volumes include approximately 20,000 reviews of items in number theory that appeared in Mathematical Reviews between 1984 and 1996. This is the third such set of volumes in number theory. The first was edited by W.J. LeVeque and included reviews from 1940-1972; the second was edited by R.K. Guy and appeared in 1984.