Number Theory Ii

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Handbook Of Number Theory Ii

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Author : J. Sándor
language : en
Publisher: Springer Science & Business Media
Release Date : 2004

Handbook Of Number Theory Ii written by J. Sándor and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

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.

Combinatorial And Additive Number Theory Ii

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Author : Melvyn B. Nathanson
language : en
Publisher: Springer
Release Date : 2018-01-13

Combinatorial And Additive Number Theory Ii written by Melvyn B. Nathanson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-13 with Mathematics categories.

Based on talks from the 2015 and 2016 Combinatorial and Additive Number Theory (CANT) workshops at the City University of New York, these proceedings offer 19 peer-reviewed and edited papers on current topics in number theory. Held every year since 2003, the workshop series surveys state-of-the-art open problems in combinatorial and additive number theory and related parts of mathematics. Sumsets, partitions, convex polytopes and discrete geometry, Ramsey theory, primality testing, and cryptography are among the topics featured in this volume. Each contribution is dedicated to a specific topic that reflects the latest results by experts in the field. Researchers and graduate students interested in the current progress in number theory will find this selection of articles relevant and compelling.

Probabilistic Number Theory Ii

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Author : P.D.T.A. Elliott
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Probabilistic Number Theory Ii written by P.D.T.A. Elliott and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

In this volume we study the value distribution of arithmetic functions, allowing unbounded renormalisations. The methods involve a synthesis of Probability and Number Theory; sums of independent infinitesimal random variables playing an important role. A central problem is to decide when an additive arithmetic function fin) admits a renormalisation by real functions a(x) and {3(x) > 0 so that asx ~ 00 the frequencies vx(n;f (n) - a(x) :s;; z {3 (x) ) converge weakly; (see Notation). In contrast to volume one we allow {3(x) to become unbounded with x. In particular, we investigate to what extent one can simulate the behaviour of additive arithmetic functions by that of sums of suit ably defined independent random variables. This fruiful point of view was intro duced in a 1939 paper of Erdos and Kac. We obtain their (now classical) result in Chapter 12. Subsequent methods involve both Fourier analysis on the line, and the appli cation of Dirichlet series. Many additional topics are considered. We mention only: a problem of Hardy and Ramanujan; local properties of additive arithmetic functions; the rate of convergence of certain arithmetic frequencies to the normal law; the arithmetic simulation of all stable laws. As in Volume I the historical background of various results is discussed, forming an integral part of the text. In Chapters 12 and 19 these considerations are quite extensive, and an author often speaks for himself.

Discovering Modern Set Theory Ii Set Theoretic Tools For Every Mathematician

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Author : Winfried Just
language : en
Publisher: American Mathematical Soc.
Release Date : 1996

Discovering Modern Set Theory Ii Set Theoretic Tools For Every Mathematician written by Winfried Just and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.

This is the second volume of a two-volume graduate text in set theory. The first volume covered the basics of modern set theory and was addressed primarily to beginning graduate students. The second volume is intended as a bridge between introductory set theory courses such as the first volume and advanced monographs that cover selected branches of set theory. The authors give short but rigorous introductions to set-theoretic concepts and techniques such as trees, partition calculus, cardinal invariants of the continuum, Martin's Axiom, closed unbounded and stationary sets, the Diamond Principle, and the use of elementary submodels. Great care is taken to motivate concepts and theorems presented.

Number Theory Ii

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Author : A. N. Parshin
language : en
Publisher: Springer
Release Date : 1992

Number Theory Ii written by A. N. Parshin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.

Volume 62 of the Encyclopedia presents the main structures and results of algebraic number theory with emphasis on algebraic number fields and class field theory. Written for the nonspecialist, the author assumes a general understanding of modern algebra and elementary number theory. Only the general properties of algebraic number fields and relate.

Discovering Modern Set Theory Ii Set Theoretic Tools For Every Mathematician

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Author : Winfried Just and Martin Weese
language : en
Publisher: American Mathematical Soc.
Release Date :

Discovering Modern Set Theory Ii Set Theoretic Tools For Every Mathematician written by Winfried Just and Martin Weese and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

The second in a two-volume text for a graduate course or self- study in set theory. Volume I would be the best prerequisite, but any background would suffice that supplied a basic naive and axiomatic knowledge of set theory, and some knowledge of mathematical logic and general topology. Introduces various set- theory techniques that have been fertile applied in other fields. Bibliographic references are minimal. The member price is $29. Annotation copyrighted by Book News, Inc., Portland, OR

Approximation Theory Ii

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Author : G. G. Lorentz
language : en
Publisher:
Release Date : 1976

Approximation Theory Ii written by G. G. Lorentz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematics categories.

The thief Parker teams up with some crooks to steal half a million dollars from a TV evangelist. But one cannot keep his mouth shut and Parker is on the run, pursued by people on both sides of the law.

Reviews In Number Theory 1973 83

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Author : Richard K. Guy
language : en
Publisher:
Release Date : 1984

Reviews In Number Theory 1973 83 written by Richard K. Guy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.

Graduate Courses

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Author :
language : en
Publisher:
Release Date : 1896

Graduate Courses written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1896 with Universities and colleges categories.

Number Theory

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Author : Sinnou David
language : en
Publisher:
Release Date : 1995

Number Theory written by Sinnou David and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Number theory categories.

This is the fourteenth annual volume arising from the Seminaire de Theorie des Nombres de Paris. As with previous volumes the whole spectrum of number theory is discussed, with many contributions from some of the world's leading figures. The very latest research developments are covered and much of the work presented here will not be found elsewhere. Also included are surveys that will serve to guide the reader through the extensive published literature. This will be a necessary addition to the libraries of all workers in number theory.