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OverviewThis handbook covers a range 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 generalizations. 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. This should be a useful reference work for specialists in number theory and other mathematicians who need access to some of these results in their own fields of research. Full Product DetailsAuthor: Dragoslav S. Mitrinovic , etc.Publisher: Kluwer Academic Publishers Imprint: Kluwer Academic Publishers Edition: 1996. 2nd Printing ed. Volume: v. 351 Dimensions: Width: 16.00cm , Height: 3.80cm , Length: 24.00cm Weight: 1.178kg ISBN: 9780792338239ISBN 10: 0792338235 Pages: 648 Publication Date: 30 November 1995 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Out of Print Availability: Out of stock Table of ContentsPreface. 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |