Numerical algorithms for number theory : using Pari/GP /

Numerical algorithms for number theory : using Pari/GP /

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This book 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 su...

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Bibliographic Details
Main Authors: Belabas, Karim (Author), Cohen, Henri (Author)
Format: Book
Language:English
Published: Providence : American Mathematical Society, 2021
Providence, Rhode Island : [2021]
Series:Mathematical Surveys and Monographs
Mathematical surveys and monographs volume 254.
Subjects:
Computer algorithms
Number theory
Numerical analysis > Computer programs
Functions of a complex variable > Series expansions of functions of one complex variable > Continued fractions; complex-analytic aspects
Number theory > Computational number theory > Evaluation of number-theoretic constants
Number theory > Software, source code, etc. for problems pertaining to number theory
Number theory > Zeta and $L$-functions: analytic theory > $\zeta (s)$ and $L(s, \chi)$
Number theory > Zeta and $L$-functions: analytic theory > Other Dirichlet series and zeta functions
Numerical analysis > Acceleration of convergence in numerical analysis > Numerical summation of series
Numerical analysis > Computer aspects of numerical algorithms > Complexity and performance of numerical algorithms
Numerical analysis > Numerical approximation and computational geometry (primarily algorithms) > Numerical integration
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