This week I will post 2 problems because I am not sure how this is still going to work.

First: Given the diophantine equation,

$\displaystyle x^2+y^3=n$ show that the number of solutions cannot exceed $\displaystyle n$. (Easy)

Second: The Dirchlet function:

Show that the Dirichlet function is not Riemann integratble on $\displaystyle [0,1]$ (Hard)

This Dirchlet function is defined to map rationals into zero and irrationals into one.

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One more thing, can you rate this threads. By selecting the number of stars for it. Whether you liked it or hated it.