Bulletin of the London Mathematical Society Advance Access originally published online on April 23, 2008
Bulletin of the London Mathematical Society 2008 40(3):457-462; doi:10.1112/blms/bdn026
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© 2008 London Mathematical Society
Prime paucity for sums of two squares
University of Toronto
Department of Mathematics
40 St. George Street
Toronto
Ontario
Canada M5S 2E4
vblomer@math.toronto.edu
Institut für Algebra und Zahlentheorie
Universität Stuttgart
70511 Stuttgart
Germany
Received 22 August 2007. Revision received 10 January 2008.
Almost all solutions of the diophantine equations
, with all xj prime numbers, are diagonal ones. This is established here in quantitative form.
The first author is supported in part by NSERC grant 311664-05.
2000 Mathematics Subject Classification 11N36 (primary), 11P32 (secondary).