József Sándor,
Dragoslav S. Mitrinovic,
Borislav Crstici
Springer Netherlands
2006e druk, 2005
9781402042157
Handbook of Number Theory I
Specificaties
Gebonden, 622 blz.
|
Engels
Springer Netherlands |
2006e druk, 2005
ISBN13: 9781402042157
Rubricering
Levertijd ongeveer 8 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9781402042157
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:622
Uitgever:Springer Netherlands
Druk:2006
Inhoudsopgave
Preface. Basic Symbols. Basic Notations. <STRONG>I.</STRONG> Euler's phi-function. <STRONG>II.</STRONG> The arithmetical function <EM>d(n)</EM>, its generalizations and its analogues. <STRONG>III.</STRONG> Sum-of-divisors function, generalizations, analogues; Perfect numbers and related problems. <STRONG>IV.</STRONG> <EM>P, p, B, beta </EM>and related functions. <STRONG>V.</STRONG> omega<EM>(n), Omega(n)</EM> and related functions. <STRONG>VI.</STRONG> Function mu<EM>;</EM> <EM>k</EM>-free and <EM>k</EM>-full numbers. <STRONG>VII.</STRONG> Functions <EM>pi(x), psi(x),</EM> <EM>theta(x)</EM>, and the sequence of prime numbers. <STRONG>VIII.</STRONG> Primes in arithmetic progressions and other sequences. <STRONG>IX.</STRONG> Additive and diophantine problems involving primes. <STRONG>X.</STRONG> Exponential sums. <STRONG>XI.</STRONG> Character sums. <STRONG>XII.</STRONG> Binomial coefficients, consecutive integers and related problems. <STRONG>XIII.</STRONG> Estimates involving finite groups and semi-simple rings. <STRONG>XIV.</STRONG> Partitions. <STRONG>XV.</STRONG> Congruences, residues and primitive roots. <STRONG>XVI.</STRONG> Additive and multiplicative functions. Index of authors.