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Sep 12, 2011 at 17:47 history made wiki Post Made Community Wiki by S. Carnahan
Jun 8, 2010 at 13:58 comment added darij grinberg It would be a term with a case distinction, so I prefer not to, but I just want to say that the integral formula is not necessarily the most natural way to write it down...
Jun 5, 2010 at 16:39 comment added Andrey Rekalo Well, the lattice points can be counted using a generating function. But I don't know how to write the answer in a compact and elementary form. I'd appreciate if you give any details of what you have in mind.
Jun 5, 2010 at 16:20 comment added darij grinberg Uhm... isn't your example rather a property of this integral than a formula for the number of lattice points? I mean, the number of all integer lattice points satisfying -n <= x,y,z <= n and -s <= x+y+z <= s can be easily computed using high school methods and a bit of case distinction...
Jun 4, 2010 at 19:38 comment added Andrey Rekalo Why not? This is a problem from Chapter 1 of the Pólya-Szegö problems' book. I learned it myself in an undergrad course.
Jun 4, 2010 at 19:16 comment added DoubleJay Well that's not the sort of discrete math problem you're taught in an intro class
Jun 4, 2010 at 19:11 history answered Andrey Rekalo CC BY-SA 2.5