Description

Book Synopsis


Trade Review
The author has made important contributions to number theory and his mastery of the material is reflected in the exposition, which is lucid, elegant, and accurate" - Mathematical Reviews

Table of Contents
  • Elementary methods
  • Some tools from real analysis
  • Prime numbers
  • Arithmetic functions
  • Average orders
  • Sieve methods
  • Extremal orders
  • The method of van der Corput
  • Diophantine approximation
  • Complex analysis methods
  • The Euler gamma function
  • Generating functions: Dirichlet series
  • Summation formulae
  • The Riemann zeta function
  • The prime number theorem and the Riemann hypothesis
  • The Selberg-Delange method
  • Two arithmetic applications
  • Tauberian theorems
  • Primes in arithmetic progressions
  • Probabilistic methods
  • Densities
  • Limiting distributions of arithmetic functions
  • Normal order
  • Distribution of additive functions and mean values of multiplicative functions
  • Friable integers
  • The saddle-point method
  • Integers free of small factors
  • Bibliography
  • Index

    Introduction to Analytic and Probabilistic Number

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      Order before 4pm today for delivery by Mon 3 Aug 2026.

      A Hardback by Gerald Tenenbaum

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        Publisher: MP-AMM American Mathematical
        Publication Date: Publication Date: 8/30/2015 12:00:00 AM
        ISBN13: 9780821898543, 978-0821898543
        ISBN10: 082189854X

        Description

        Book Synopsis


        Trade Review
        The author has made important contributions to number theory and his mastery of the material is reflected in the exposition, which is lucid, elegant, and accurate" - Mathematical Reviews

        Table of Contents
        • Elementary methods
        • Some tools from real analysis
        • Prime numbers
        • Arithmetic functions
        • Average orders
        • Sieve methods
        • Extremal orders
        • The method of van der Corput
        • Diophantine approximation
        • Complex analysis methods
        • The Euler gamma function
        • Generating functions: Dirichlet series
        • Summation formulae
        • The Riemann zeta function
        • The prime number theorem and the Riemann hypothesis
        • The Selberg-Delange method
        • Two arithmetic applications
        • Tauberian theorems
        • Primes in arithmetic progressions
        • Probabilistic methods
        • Densities
        • Limiting distributions of arithmetic functions
        • Normal order
        • Distribution of additive functions and mean values of multiplicative functions
        • Friable integers
        • The saddle-point method
        • Integers free of small factors
        • Bibliography
        • Index

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