most recent 30 from http://mathoverflow.net 2013-05-20T05:55:55Z http://mathoverflow.net/feeds/question/123161 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/123161/must-read-papers-on-analytic-number-theory unknown (yahoo) 2013-02-27T22:55:29Z 2013-03-01T03:33:18Z

<blockquote> <p>Question: What would be some must-read papers for an aspiring analytic number theorist? In other words, what are the papers that any analytic number theorist would have read? (Background: Someone who has seen some classical analytic number theory, at the level of Davenport and modular forms books by Iwaniec)</p> </blockquote> <p>There are some classical papers that comes to mind. For example, </p> <ul> <li>Duke-Friedlander-Iwaniec's work on subconvexity bounds</li> <li>Iwaniec's 1987 paper on bounding Fourier coefficients of half-integral weight modular forms</li> <li>Duke's work on Linnik's problems</li> </ul> <p>Basically I would like to collect papers that any graduate student in analytic number theory should have read/should be aware of. In particular I am interested in something more modern (although very classical papers such as Riemann's memoir is still welcome, for the sake of completeness) Thank you.</p> <p>Edit: In light of Professor Garrett's comment, I am trying to restrict the scope a little bit. (Hopefully it's now more reasonable) Analytic number theory is a pretty diverse area, but hopefully there is a reasonable list of papers that every analytic number theorist would have read/know about.</p>