Handbook Of Number Theory I by József SándorHandbook Of Number Theory I by József Sándor

Handbook Of Number Theory I

byJózsef Sándor, Dragoslav S. Mitrinovic, Borislav Crstici

Hardcover | November 17, 2005

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This handbook covers a wealth of topics from number theory, special attention being given to estimates and inequalities. As a rule, the most important results are presented, together with their refinements, extensions or generalisations. These may be applied to other aspects of number theory, or to a wide range of mathematical disciplines. Cross-references provide new insight into fundamental research.

Audience:This is an indispensable reference work for specialists in number theory and other mathematicians who need access to some of these results in their own fields of research.

Title:Handbook Of Number Theory IFormat:HardcoverDimensions:622 pagesPublished:November 17, 2005Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:1402042159

ISBN - 13:9781402042157


Table of Contents

Preface. Basic Symbols. Basic Notations.I.Euler's phi-function.II.The arithmetical functiond(n), its generalizations and its analogues.III.Sum-of-divisors function, generalizations, analogues; Perfect numbers and related problems.IV.P, p, B, betaand related functions.V.omega(n), Omega(n)and related functions.VI.Function mu;k-free andk-full numbers.VII.Functionspi(x), psi(x),theta(x), and the sequence of prime numbers.VIII.Primes in arithmetic progressions and other sequences.IX.Additive and diophantine problems involving primes.X.Exponential sums.XI.Character sums.XII.Binomial coefficients, consecutive integers and related problems.XIII.Estimates involving finite groups and semi-simple rings.XIV.Partitions.XV.Congruences, residues and primitive roots.XVI.Additive and multiplicative functions. Index of authors.