Math372 Fall2015 20b AnalyContZeta

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Math 372: Complex Analysis: Lecture 21: November 4, 2015: Analytic Continuation of Zeta(s), Preliminary Integral for PNT
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Thank you for posting these lectures. I am going through Ram Murty's Analytic Number Theory book and I got stuck at some of the complex analysis parts. Your lectures are very helpful.

ethanjensen
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it is amazing that the original defined function can extend onto the whole plane with only a single pole. Is it possible to know that we will not get any branch cut beforehand?

wdlang