József Sándor, Dragoslav S. Mitrinovic, Borislav Crstici

Handbook of Number Theory I

• Gebundenes Buch

Produktbeschreibung

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.

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Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.

Produktdetails

• Verlag: Springer / Springer Netherlands
• Artikelnr. des Verlages: 11561484, 978-1-4020-4215-7
• 1995. 2nd Printing edition
• Seitenzahl: 622
• Erscheinungstermin: 17. November 2005
• Englisch
• Abmessung: 234mm x 156mm x 37mm
• Gewicht: 1116g
• ISBN-13: 9781402042157
• ISBN-10: 1402042159
• Artikelnr.: 20752705

Autorenporträt

Jószef Sándor, Babes-Bolyai University of Cluj, Cluj-Napoca, Romania / Dragoslav S. Mitrinovic, formerly of the University of Belgrade, Servia / Borislav Crstici, formerly of the Technical University of Timisoara, Romania

Inhaltsangabe

Preface. Basic Symbols. Basic Notations. I. Euler's phi-function. II. The arithmetical function d(n)
its generalizations and its analogues. III. Sum-of-divisors function
generalizations
analogues; Perfect numbers and related problems. IV. P
p
B
beta and related functions. V. omega(n)
Omega(n) and related functions. VI. Function mu; k-free and k-full numbers. VII. Functions pi(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.

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Preface. Basic Symbols. Basic Notations. I. Euler's phi-function. II. The arithmetical function d(n), its generalizations and its analogues. III. Sum-of-divisors function, generalizations, analogues; Perfect numbers and related problems. IV. P, p, B, beta and related functions. V. omega(n), Omega(n) and related functions. VI. Function mu; k-free and k-full numbers. VII. Functions pi(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.