Proposal for a Standardization of Mathematical Function Implementation in Floating-Point Arithmetic David Defour Guillaume Hanrot Jean-Michel Muller

Source URL: perso.ens-lyon.fr

• Computer arithmetic
• Arithmetic
• Mathematics
• Computer architecture
• Rounding
• IEEE 754
• Double-precision floating-point format
• Interval arithmetic
• Significant figures
• NaN
• Sine
• Signed zero

HEIGHTS ON PROJECTIVE SPACES AND DYNAMICAL SYSTEMS Height theory is among the fundamental tools frequently used in number theory. A height function measures the arithmetic complexity of a point. It translates thus a geom

Source URL: pub.math.leidenuniv.nl

Function Interval Arithmetic Jan Duracz1 , Amin Farjudian2 , Michal Koneˇcný3 , and Walid Taha4 1 , http://duracz.net/jan

Source URL: duracz.net

Sato theory, p-adic tau function and arithmetic geometry Takao Yamazaki Tohoku University March 19, 2010

Source URL: yokoemon.web.fc2.com

Numbers, constants and computation 1 Numerical evaluation of the Riemann Zeta-function

Source URL: wiskunde.vandelden.net

• Mathematics
• Mathematical analysis
• Number theory
• Analytic number theory
• Bernhard Riemann
• Conjectures
• Riemann zeta function
• Arithmetic functions
• Riemann hypothesis
• Z function
• RiemannSiegel formula
• Bernoulli number

Worst Cases for the Exponential Function in the IEEE 754r decimal64 Format Vincent Lefèvre, Damien Stehlé, Paul Zimmermann LORIA / INRIA Lorraine JNAO 2006

Source URL: www.vinc17.org

• Computer arithmetic
• Computing
• Mathematics
• Mathematical analysis
• Normal number
• IEEE floating point
• Decimal64 floating-point format
• Double-precision floating-point format
• Decimal128 floating-point format
• Decimal32 floating-point format
• Rounding
• Exponential function

Randomness in Number Theory: The Moebius Case IGL Project ReportYiwang Chen, Daniel Hirsbrunner, Dylan Yang, Tong Zhang M.Tip Phaovibul (Team Leader) A.J. Hildebrand (Faculty Mentor)

Source URL: www.math.illinois.edu

• Mathematical analysis
• Mathematics
• Mathematical series
• Complex analysis
• Arithmetic function
• Riemann zeta function
• Dirichlet character
• Mellin transform
• Divergent series
• Series
• Pi
• Power series

Hasse-Weil zeta function of absolutely irreducible SL2-representations of the figure 8 knot group Shinya Harada∗ 0 Introduction The figure 8 knot K is known as a unique arithmetic knot, i.e., the knot complement S 3 rK

Source URL: staff.miyakyo-u.ac.jp

• Mathematics
• Abstract algebra
• Algebra
• Analytic number theory
• Algebraic number theory
• Algebraic geometry
• HasseWeil zeta function
• Elliptic curve
• Dedekind zeta function
• Bernhard Riemann
• Representation theory
• Riemann zeta function

Algorithms and Data Structures Winter TermExercises for Units 1 and 2 1. This sequence of exercises is supposed to illustrate that certain restrictions that we put on our RAM model are really necessary. If they

Source URL: www-tcs.cs.uni-sb.de

• Mathematics
• Logarithms
• Multiplicative functions
• Analysis of algorithms
• Asymptotic analysis
• Big O notation
• Mathematical notation
• Prime number
• Greatest common divisor
• Prime number theorem
• Average order of an arithmetic function

Forum Math), 273±291 Forum Mathematicum ( de Gruyter 2002

Source URL: www.mast.queensu.ca

• Mathematics
• Mathematical analysis
• Algebra
• Analytic number theory
• Group theory
• Arithmetic function
• Elliptic curve
• Riemann hypothesis
• Fourier series
• Divisor
• Transcendental number
• SturmLiouville theory