Description

Book Synopsis
Presents multiprecision algorithms used in number theory and elsewhere, such as extrapolation, numerical integration, numerical summation (including multiple zeta values and the Riemann-Siegel formula), evaluation and speed of convergence of continued fractions, Euler products and Euler sums, inverse Mellin transforms, and complex $L$-functions.

Table of Contents
  • Introduction
  • Numerical extrapolation
  • Numerical integration
  • Numerical summation
  • Euler products and Euler sums
  • Gauss and Jacobi sums
  • Numerical computation of continued fractions
  • Computation of inverse Mellin transforms
  • Computation of $L$-functions
  • List of relevant GP programs
  • Bibliography
  • Index of programs
  • General index.

Numerical Algorithms for Number Theory Using

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    A Paperback by Karim Belabas, Henri Cohen

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      Publisher: MP-AMM American Mathematical
      Publication Date: 8/30/2021 12:00:00 AM
      ISBN13: 9781470463519, 978-1470463519
      ISBN10: 1470463512
      Also in:
      Number theory

      Description

      Book Synopsis
      Presents multiprecision algorithms used in number theory and elsewhere, such as extrapolation, numerical integration, numerical summation (including multiple zeta values and the Riemann-Siegel formula), evaluation and speed of convergence of continued fractions, Euler products and Euler sums, inverse Mellin transforms, and complex $L$-functions.

      Table of Contents
      • Introduction
      • Numerical extrapolation
      • Numerical integration
      • Numerical summation
      • Euler products and Euler sums
      • Gauss and Jacobi sums
      • Numerical computation of continued fractions
      • Computation of inverse Mellin transforms
      • Computation of $L$-functions
      • List of relevant GP programs
      • Bibliography
      • Index of programs
      • General index.

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