# matlab tau 1.0

OS : Windows / Linux / Mac OS / BSD / Solaris

Script Licensing : Freeware

Created : Aug 30, 2007

Downloads : 3

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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.

• Bioinformatics Toolbox

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**

**Demands:**• Bioinformatics Toolbox

**matlab tau 1.0 scripting tags:**mathematics, tau, divisible, coprimeit, tau mathematics, matlab tau, properties, function, modular, integer, matlab mathematics, taun.

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