Musical Stylometry Project

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This is a Partition Theory Involution Development of Fine's Theorem a la Bessenrodt and Pak.

Mersenne Primes and Perfect Numbers

A proof concerning Mersenne primes and even perfect numbers.

Dirichlet's Irrationality Criterion

We examine a third and somewhat more involved for proving irrationality.  We will next return and expand the ramifications of prior methods.

The Rational Root Test and the Irrationality of Root Two

We will discuss the use of a powerful theorem most often attributed to Rene Descartes and it's applications in proving irrationality.

Euclid's Proof of the Irrationality of the Square Root of Two

We examine both proofing and a proof with a beautiful and illustrious history.

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The University of Florida 

Department of Mathematics

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