Abstract
Adrien-Marie Legendre was one of the great number theorists of the 19th 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.
An erratum to this chapter can be found at http://dx.doi.org/10.1007/978-1-4419-7155-5_45
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Lipton, R.J. (2010). Factoring and Factorials. In: The P=NP Question and Gödel’s Lost Letter. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-7155-5_33
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DOI: https://doi.org/10.1007/978-1-4419-7155-5_33
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