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Timeline for Sums of three non-zero squares

Current License: CC BY-SA 3.0

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Mar 11, 2012 at 22:36 vote accept Andrés E. Caicedo
Mar 11, 2012 at 22:15 answer added Barry Cipra timeline score: 8
Mar 11, 2012 at 20:09 comment added Will Jagy original 1933 Gordon Pall dm.unito.it/~cerruti/ntlab2007/squares-pall.pdf
Mar 11, 2012 at 19:57 comment added Will Jagy original 1959 ams.org/journals/proc/1959-010-03/home.html
Mar 11, 2012 at 18:58 comment added Andrés E. Caicedo @Noam: Looking at Grosswald's paper from 1963, what he uses is a weak version of Extended Riemann. The reference Barry Cipra mentioned and some of the papers they cite indicate the issue is exactly what you indicate.
Mar 11, 2012 at 18:44 comment added Andrés E. Caicedo @Barry: Thanks! I think this answers the question then. Would you like to post this as an answer?
Mar 11, 2012 at 17:57 comment added Barry Cipra Googling on the title of the Grosswald paper produced a link to math.uab.edu/~simanyi/Goswick_et_al_final.pdf which (backing up the url to the ~simanyi) indicates it's a recent paper in JNT.
Mar 11, 2012 at 17:08 comment added Noam D. Elkies Is this assuming "just" Riemann or Extended Riemann (i.e. for quadratic Dirichlet characters)? I don't know the Grosswald paper, but it seems from the list that the question comes down to the existence of a large idoneal number under the further condition that it be a sum of two squares, and there's likely no way to exploit this additional assumption, so it probably remains open.
Mar 11, 2012 at 17:02 history asked Andrés E. Caicedo CC BY-SA 3.0