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ANALYTIC NUMBER THEORY: AN INTRODUCTORY COURSE

AN INTRODUCTORY COURSE(REPRINTED 2009)


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Sinopse

This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable (”elementary”) and complex variable (”analytic”) methods are employed. The reader is assumed to have knowledge of elementary number theory (abstract algebra will also do) and real and complex analysis. Specialized analytic techniques, including transform and Tauberian methods, are developed as needed. Comments and corrigenda for the book are found at http://www.math.uiuc.edu/~diamond/. Contents: Calculus of Arithmetic Functions Summatory Functions The Distribution of Prime Numbers An Elementary Proof of the PNT Dirichlet Series and Mellin Transforms Inversion Formulas The Riemann Zeta Function Primes in Arithmetic Progressions Applications of Characters Oscillation Theorems Sieves Application of Sieves Appendix: Results from Analysis and Algebra Readership: Graduate students, academics and researchers interested in analytic number theory.

Detalhes do Produto

    • Formato:  ePub
    • Subtítulo:  AN INTRODUCTORY COURSE(REPRINTED 2009)
    • Origem:  IMPORTADO
    • Editora: KOBO EDITIONS
    • Coleção:  Monographs in Number Theory
    • Assunto: Ciências Exatas - Matemática
    • Idioma: INGLÊS
    • Ano de Edição: 2004
    • Ano:  2004
    • País de Produção: Canada
    • Código de Barras:  2000175074262
    • ISBN:  9789814365567

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