matlab tau 1.0

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CreatedCreated : Aug 30, 2007
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Given a nonnegative integer n, tau(n) is the ...

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.
• MATLAB Release: R12
• Bioinformatics Toolbox

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