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Favorite questions (that I did not answer but I find fascinating):
Proving the sum of a product is equal to pi Double integral of a Gamma Function An interesting summation An interesting number theory answer The convergence of a Zeta function product series
http://math.stackexchange.com/questions/1154807/cauchy-euler-equidimensional-de-x3y-leftx-right3x2y-leftx-right5xy http://math.stackexchange.com/a/1213835/167604
