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Multiplicative Number Theory I : Classical Theory.
Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. The authors bring their extensive and distinguished research expertise to prepare the student f...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Leiden :
Cambridge University Press,
2006.
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| Colección: | Cambridge studies in advanced mathematics ;
no. 97. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Preface; Notation; 1 Dirichlet series: I; 2 The elementary theory of arithmetic functions; 3 Principles and first examples of sieve methods; 4 Primes in arithmetic progressions: I; 5 Dirichlet series: II; 6 The Prime Number Theorem; 7 Applications of the Prime Number Theorem; 8 Further discussion of the Prime Number Theorem; 9 Primitive characters and Gauss sums; 10 Analytic properties of the zeta function and L-functions; 11 Primes in arithmetic progressions: II; 12 Explicit formulæ; 13 Conditional estimates; 14 Zeros.
- 15 Oscillations of error termsAppendix A The Riemann-Stieltjes integral; Appendix B Bernoulli numbers and the Euler-Maclaurin summation formula; Appendix C The gamma function; Appendix D Topics in harmonic analysis; Name index; Subject index.