Hark! The Herald Angels Sing

In The Basel Problem we saw that Euler answered the question by showing that the sum of the reciprocals of the square numbers is equal to . That is The partial sums slowly converge to [more…]

Euler’s totient function counts the number of positive integers up to that are relatively prime to , where is considered to be relatively prime to all .  These numbers are called the totatives of . [more…]

It had been dicey over the Big City. The flak had been murderous on the run-in and the radar predicted, master searchlights seemed to have had an unnerving accuracy that night. You could tell the [more…]