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Timeline for partial sums of fractional parts

Current License: CC BY-SA 3.0

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Mar 25, 2014 at 11:47 comment added Dmitry Kerner Strange, I get S(28,18,1/2)=-9/2. Could you check your computation? Yes, I need at least the upper bound. (Though a lower bound would be also interesting.)
Mar 22, 2014 at 21:52 comment added Kevin O'Bryant Isn't $S(28,18,1/2) = 336/23$, considerably larger than your numerics suggest?
Mar 22, 2014 at 21:20 comment added Kevin O'Bryant Just to be clear, typically $S(p,q,\alpha)$ is negative, and can be arbitrarily negative, you just want to bound how positive it can become?
Mar 18, 2014 at 6:40 history asked Dmitry Kerner CC BY-SA 3.0