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Aug 13, 2019 at 6:05 history edited Martin Sleziak CC BY-SA 4.0
http -> https (the question has been bumped anyway)
Jan 27, 2012 at 3:25 comment added Goldstern I am not sure what you mean by "different". For me, (1) is the definition of equidistribution, (4) (or rather the equivalence between (1) and (4)) is Weyl's criterion, and (3) is the most useful consequence. They are all equivalent, so in this sense they are not different. I call the condition (3) a "generalization", because it is (apparently) a strengthening of (1) (though not strictly).
Jan 27, 2012 at 2:45 comment added Noam D. Elkies How are this "natural generalization" and "classical theorem" different from Weyl equidistribution itself? (For example, that's how Körner's Fourier Analysis states and proves Weyl's theorem if I remember right.)
Jan 27, 2012 at 1:42 history edited Goldstern CC BY-SA 3.0
reformulated
Jan 27, 2012 at 0:42 history edited Goldstern CC BY-SA 3.0
link corrected
Jan 26, 2012 at 23:33 history answered Goldstern CC BY-SA 3.0