
tau.m 1.0 File ID: 82555 


 tau.m 1.0 License: Shareware File Size: 10.0 KB Downloads: 0
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tau.m 1.0 Description 

Description: Given a nonnegative integer n, tau(n) is the Ramanujan tau function of n, defined as the coefficient of x^n in the Taylor expansion of x * prod_{k>=0}(1  x^k)^24. This is an integer function with fascinating number theoretic properties. For instance, it's multiplicative, meaning tau(m*n) = tau(m)*tau(n) for m and n coprime. It also satisfies some unusual modular properties, like tau(n)  sigma_11(n) is always divisible by 691. It's also important in the study of elliptic curves and modular forms.
License: Shareware Related: Unusual, modular, sigma, satisfies, coprime, taumn, taumtaun, divisible, Curves O/S:BSD, Linux, Solaris, Mac OS X File Size: 10.0 KB Downloads: 0


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