Handbook of Number Theory I
Published on 17. November 2005
Book
Hardback
XXVI, 622 pages
978-1-4020-4215-7 (ISBN)
Description
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.
More details
Edition
1st ed. 1995. 2nd printing 2005
Language
English
Place of publication
Dordrecht
Netherlands
Target group
Professional and scholarly
Algebraists and mathematicians
Product notice
sewn/stitched
Cloth over boards
Illustrations
XXVI, 622 p.
Dimensions
Height: 234 mm
Width: 156 mm
Thickness: 37 mm
Weight
1084 gr
ISBN-13
978-1-4020-4215-7 (9781402042157)
DOI
10.1007/1-4020-3658-2
Schweitzer Classification
Other editions
Additional editions
József Sándor | Dragoslav S. Mitrinovic | Borislav Crstici
Handbook of Number Theory I
Book
08/2006
Springer
€317.50
Article exhausted; check different version
József Sándor | Dragoslav S. Mitrinovic | Borislav Crstici
Handbook of Number Theory I
Book
11/1995
Kluwer Academic Publishers
€330.63
Article exhausted; check different version
Content
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.