Comments on: Trigonometric Series and the Beginnings of Set Theory http://xorshammer.com/2008/12/20/trigonometric-series-and-the-beginnings-of-set-theory/ Some things in mathematical logic that I find interesting Wed, 18 Jan 2012 18:13:09 +0000 hourly 1 http://wordpress.com/ By: Christian http://xorshammer.com/2008/12/20/trigonometric-series-and-the-beginnings-of-set-theory/#comment-431 Thu, 31 Mar 2011 13:20:40 +0000 http://xorshammer.wordpress.com/?p=253#comment-431 I think that the right formula for the Fourier Series includes \frac{a_{0}}{2}.

]]> By: tba http://xorshammer.com/2008/12/20/trigonometric-series-and-the-beginnings-of-set-theory/#comment-422 Sat, 26 Feb 2011 09:42:39 +0000 http://xorshammer.wordpress.com/?p=253#comment-422 Hello,

Thank you for a very interesting post. Unfortunately my set theory is very poor so I got lost near the beginning:

Can someone explain how we know that if a series converges to 0 for all {1/n | n c N}, it must converge to 0 at 0? I don’t understand why we know it “converges to 0 on, e.g. (-1,0) U (1,0)”: how do we know that this is true on the infinitely many points of the form x/y (1<x<y,x is coprime to y)?

Thanks!

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