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Sep 7 at 4:29 comment added Dan Romik Update to my earlier comment: my lecture notes have been superseded by my book Topics in Complex Analysis, which is available for download under Open Access. See here for more information. The proof of the prime number theorem is the subject of chapter 2.
Jan 1, 2022 at 4:55 comment added Dan Romik If anyone’s interested, I have a detailed writeup of Newman’s proof (adapted from Zagier’s paper) in sections 15-16 of my complex analysis lecture notes.
Dec 31, 2021 at 17:37 comment added efs @TimothyChow Beautiful book, but the corrected edition. The original one is full of annoying errata.
Jul 23, 2018 at 21:13 comment added Timothy Chow I would recommend Newman's own exposition over Zagier's. Specifically, I would recommend the account in Newman's book Analytic Number Theory.
Jul 23, 2018 at 9:07 history edited Carlo Beenakker CC BY-SA 4.0
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Jul 23, 2018 at 8:49 history answered Carlo Beenakker CC BY-SA 4.0