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Author: S. McAdam
Publisher: Springer
ISBN: 3540387048
Category : Mathematics
Languages : en
Pages : 127
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Book Description
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Author: S. McAdam
Publisher: Springer
ISBN: 3540387048
Category : Mathematics
Languages : en
Pages : 127
Get Book Here
Book Description
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Author: Albert Edward Ingham
Publisher: Cambridge University Press
ISBN: 9780521397896
Category : Mathematics
Languages : en
Pages : 140
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Book Description
Originally published in 1934, this volume presents the theory of the distribution of the prime numbers in the series of natural numbers. Despite being long out of print, it remains unsurpassed as an introduction to the field.
Author: Graham Everest
Publisher: American Mathematical Soc.
ISBN: 1470423154
Category : Mathematics
Languages : en
Pages : 338
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Book Description
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.
Author: G. J. O. Jameson
Publisher: Cambridge University Press
ISBN: 9780521891103
Category : Mathematics
Languages : en
Pages : 266
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Book Description
At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formula that tells us (in an approximate but well defined sense) how many primes we can expect to find that are less than any integer we might choose. The prime number theorem tells us what this formula is and it is indisputably one of the great classical theorems of mathematics. This textbook gives an introduction to the prime number theorem suitable for advanced undergraduates and beginning graduate students. The author's aim is to show the reader how the tools of analysis can be used in number theory to attack a 'real' problem, and it is based on his own experiences of teaching this material.
Author: Richard Crandall
Publisher: Springer Science & Business Media
ISBN: 0387289798
Category : Mathematics
Languages : en
Pages : 597
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Book Description
Bridges the gap between theoretical and computational aspects of prime numbers Exercise sections are a goldmine of interesting examples, pointers to the literature and potential research projects Authors are well-known and highly-regarded in the field
Author: Christian Ballot
Publisher: American Mathematical Soc.
ISBN: 0821826107
Category : Mathematics
Languages : en
Pages : 117
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Book Description
A general density theory of the set of prime divisors of a certain family of linear recurring sequences with constant coefficients, a family which is defined for any order recursion, is built up from the work of Lucas, Laxton, Hasse, and Lagarias. In particular, in this theory the notion of the rank of a prime divisor as well as the notion of a Companion Lucas sequence (Lucas), the group associated with a given second-order recursion (Laxton), and the effective computation of densities (Hasse and Lagarias) are first combined and then generalized to any order recursion.
Author: J. Sándor
Publisher: Springer Science & Business Media
ISBN: 1402025467
Category : Mathematics
Languages : en
Pages : 637
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Book Description
This handbook focuses on some important topics from Number Theory and Discrete Mathematics. These include the sum of divisors function with the many old and new issues on Perfect numbers; Euler's totient and its many facets; the Möbius function along with its generalizations, extensions, and applications; the arithmetic functions related to the divisors or the digits of a number; the Stirling, Bell, Bernoulli, Euler and Eulerian numbers, with connections to various fields of pure or applied mathematics. Each chapter is a survey and can be viewed as an encyclopedia of the considered field, underlining the interconnections of Number Theory with Combinatorics, Numerical mathematics, Algebra, or Probability Theory. This reference work will be useful to specialists in number theory and discrete mathematics as well as mathematicians or scientists who need access to some of these results in other fields of research.
Author: Heine Halberstam
Publisher: Courier Corporation
ISBN: 0486320804
Category : Mathematics
Languages : en
Pages : 386
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Book Description
This text by a noted pair of experts is regarded as the definitive work on sieve methods. It formulates the general sieve problem, explores the theoretical background, and illustrates significant applications. 1974 edition.
Author: Richard Guy
Publisher: Springer Science & Business Media
ISBN: 1475717385
Category : Mathematics
Languages : en
Pages : 176
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Book Description
Second edition sold 2241 copies in N.A. and 1600 ROW. New edition contains 50 percent new material.
Author: Hugh L. Montgomery
Publisher: Cambridge University Press
ISBN: 9780521849036
Category : Mathematics
Languages : en
Pages : 574
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Book Description
A 2006 text based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State.
