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Feb 5 at 4:03 history edited Martin Sleziak CC BY-SA 4.0
http -> https (the question was bumped anyway)
Apr 26, 2010 at 1:48 comment added Junkie As a grad student I ran across a paper of McCurley that referenced Piltz for GRH. Or maybe it was this one: ams.org/journals/mcom/1987-48-177/S0025-5718-1987-0866095-8/… The reference to Piltz (missing from the above wikipedia advert) is A. Piltz, Uber die Haufigkeit der Primzahlen in arithmetischen Progressionen und uber verwandte Gesetze, A. Neuenhahn, Jena, 1884. flipkart.com/book/ber-die-hufigkeit-der-primzahlen/1113365641 (also on GoogleBooks). This was his dissertation, and he also conjectures that $p_n - p_{n-1} < p^\alpha$ for all $\alpha > 0$.
Jan 27, 2010 at 15:22 comment added David Hansen Ah, I suspected that it may have been Hurwitz, and that Davenport would have something to say, but did not have the book handy. :) BTW, once I was skimming Hardy's collected works and found a sentence where he blithely asserted that RH for Dirichlet L-functions will be proven "within a week" of the original RH...
Jan 27, 2010 at 15:11 history answered Matt Young CC BY-SA 2.5