Advertisement

Factoring and Factorials

  • Richard J. Lipton
Chapter

Abstract

Adrien-Marie Legendre was one of the great number theorists of the 19 th century. He proved a whole host of amazing results. One wonders what he would think of the applications and consequences of his work over a century later. One of his great discoveries is the Duplication Formula for the Gamma Function [10]. The Gamma function, G (z), is a function defined for all complex numbers that agrees with the factorial function at the natural numbers. In a sense you should think of the Gamma function as a generalization of the factorial function.

Keywords

Gamma Function Polynomial Time Algorithm Binary Search Factorial Function Arithmetic Circuit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Georgia Institute of TechnologyCollege of Computing School of Computer ScienceAtlantaUSA

Personalised recommendations