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Autor: József Sándor
ISBN-13: 9781402042157
Einband: Buch
Seiten: 622
Gewicht: 1084 g
Format: 234x156x37 mm
Sprache: Englisch

Handbook of Number Theory I

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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.
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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Autor: József Sándor
ISBN-13 :: 9781402042157
ISBN: 1402042159
Erscheinungsjahr: 01.11.2005
Verlag: Springer-Verlag GmbH
Gewicht: 1084g
Seiten: 622
Sprache: Englisch
Auflage 1995. 2nd Print
Sonstiges: Buch, 234x156x37 mm, 1