Recurrence Sequences

Author: Graham Everest, Alf van der Poorten,Igor Shparlinski,Thomas Ward

Publisher: American Mathematical Soc.

ISBN: 1470423154

Category:

Page: 318

View: 9959

Recurrence sequences are of great intrinsic interest and have been a central part of number theory for many years. Moreover, these sequences appear almost everywhere in mathematics and computer science. This book surveys the modern theory of linear recurrence sequences and their generalizations. Particular emphasis is placed on the dramatic impact that sophisticated methods from Diophantine analysis and transcendence theory have had on the subject. Related work on bilinear recurrences and an emerging connection between recurrences and graph theory are covered. Applications and links to other areas of mathematics are described, including combinatorics, dynamical systems and cryptography, and computer science. The book is suitable for researchers interested in number theory, combinatorics, and graph theory.

Dynamics and Stochastics

Author: Michael S. Keane,Dee Denteneer,Frank Hollander,Evgeny Verbitskiy

Publisher: IMS

ISBN: 9780940600645

Category: Mathematics

Page: 316

View: 9842

Algorithmic Number Theory

7th International Symposium, ANTS-VII, Berlin, Germany, July 23-28, 2006, Proceedings

Author: Florian Hess,Sebastian Pauli,Michael Pohst

Publisher: Springer

ISBN: 354036076X

Category: Mathematics

Page: 599

View: 6324

This book constitutes the refereed proceedings of the 7th International Algorithmic Number Theory Symposium, ANTS 2006, held in Berlin, July 2006. The book presents 37 revised full papers together with 4 invited papers selected for inclusion. The papers are organized in topical sections on algebraic number theory, analytic and elementary number theory, lattices, curves and varieties over fields of characteristic zero, curves over finite fields and applications, and discrete logarithms.

Number Theory and Polynomials

Author: Chris Smyth

Publisher: Cambridge University Press

ISBN: 0521714672

Category: Mathematics

Page: 349

View: 8561

Contributions by leading experts in the field provide a snapshot of current progress in polynomials and number theory.

The Concrete Tetrahedron

Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates

Author: Manuel Kauers,Peter Paule

Publisher: Springer Science & Business Media

ISBN: 9783709104453

Category: Mathematics

Page: 203

View: 1758

The book treats four mathematical concepts which play a fundamental role in many different areas of mathematics: symbolic sums, recurrence (difference) equations, generating functions, and asymptotic estimates. Their key features, in isolation or in combination, their mastery by paper and pencil or by computer programs, and their applications to problems in pure mathematics or to "real world problems" (e.g. the analysis of algorithms) are studied. The book is intended as an algorithmic supplement to the bestselling "Concrete Mathematics" by Graham, Knuth and Patashnik.

High Primes and Misdemeanours

Lectures in Honour of the 60th Birthday of Hugh Cowie Williams

Author: Hugh C. Williams,A. J. Van Der Poorten,Andreas Stein

Publisher: American Mathematical Soc.

ISBN: 9780821887592

Category: Science

Page: 392

View: 3221

This volume consists of a selection of papers based on presentations made at the international conference on number theory held in honor of Hugh Williams' sixtieth birthday. The papers address topics in the areas of computational and explicit number theory and its applications. The material is suitable for graduate students and researchers interested in number theory.

Recurrence Sequences

Author: Graham Everest,Alf van der Poorten,Igor Shparlinski,Thomas Ward

Publisher: American Mathematical Soc.

ISBN: 9780821833872

Category: Mathematics

Page: 318

View: 641

Recurrence sequences are of great intrinsic interest and have been a central part of number theory for many years. Moreover, these sequences appear almost everywhere in mathematics and computer science. This book surveys the modern theory of linear recurrence sequences and their generalizations. Particular emphasis is placed on the dramatic impact that sophisticated methods from Diophantine analysis and transcendence theory have had on the subject. Related work on bilinear recurrences and an emerging connection between recurrences and graph theory are covered. Applications and links to other areas of mathematics are described, including combinatorics, dynamical systems and cryptography, and computer science. The book is suitable for researchers interested in number theory, combinatorics, and graph theory.

Theorie der Gleichverteilung

Author: Edmund Hlawka

Publisher: N.A

ISBN: N.A

Category: Distribution, Uniform (Probability theory)

Page: 142

View: 5479

Reachability Problems

6th International Workshop, RP 2012, Bordeaux, France, September 17-19, 2012. Proceedings

Author: Alain Finkel,Jerome Leroux,Igor Potapov

Publisher: Springer

ISBN: 3642335128

Category: Computers

Page: 149

View: 5980

This book constitutes the refereed proceedings of the 6th International Workshop on Reachability Problems, RP 2012, held in Bordeaux, France, in September, 2012. The 8 revised full papers presented together with 4 invited talks were carefully reviewed and selected from 15 submissions. The papers present current research and original contributions related to reachability problems in different computational models and systems such as algebraic structures, computational models, hybrid systems, logic and verification. Reachability is a fundamental problem that appears in several different contexts: finite- and infinite-state concurrent systems, computational models like cellular automata and Petri nets, decision procedures for classical, modal and temporal logic, program analysis, discrete and continuous systems, time critical systems, and open systems modeled as games.

Klassenkörpertheorie

Neu herausgegeben von Alexander Schmidt

Author: Jürgen Neukirch

Publisher: Springer-Verlag

ISBN: 364217325X

Category: Mathematics

Page: 204

View: 6193

Der Klassiker zum Thema bietet Lesern, die mit den Grundlagen der algebraischen Zahlentheorie vertraut sind, einen raschen Zugang zur Klassenkörpertheorie. Die Neuauflage ist eine verbesserte Version des 1969 in der Reihe B. I.-Hochschulskripten (Bibliographisches Institut Mannheim) erschienenen gleichnamigen Bandes. Das Werk besteht aus drei Teilen: Im ersten wird die Kohomologie der endlichen Gruppen behandelt, im zweiten die lokale Klassenkörpertheorie, der dritte Teil widmet sich der Klassenkörpertheorie der endlichen algebraischen Zahlkörper.

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: 5033

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.

Principia Mathematica.

Author: Alfred North Whitehead,Bertrand Russell

Publisher: N.A

ISBN: N.A

Category: Logic, Symbolic and mathematical

Page: 167

View: 1765

Kreis und Kugel

Author: Wilhelm Blaschke

Publisher: Walter de Gruyter

ISBN: 3111506932

Category: Mathematics

Page: 175

View: 2899

G-Functions and Geometry

A Publication of the Max-Planck-Institut für Mathematik, Bonn

Author: Yves André

Publisher: Springer-Verlag

ISBN: 366314108X

Category: Mathematics

Page: 232

View: 9507