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Timeline for Completing a dyadic sum

Current License: CC BY-SA 3.0

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Apr 2, 2017 at 21:37 comment added Greg Martin This seems connected somehow to the Nyman–Beurling criterion for the Riemann hypothesis: there the fractional part function (triangular waves) are used instead of square waves here, but the joint general idea of assembling a linear combination of the waves into a constant function is intriguing.
Apr 2, 2017 at 20:57 comment added Gerhard Paseman This sounds like a question for Fourier methods (of which I know nothing, so use some skepticism on this comment). If f behaved nicely on your test intervals and [something mumble something] with the Fourier transform, then you might be able to get good bounds for your estimate. If f oscillated wildly on the intervals outside of your test range, hopefully the transform of f could give you a picture of what to expect. Gerhard "Hopes An Expert Chimes In" Paseman, 2017.04.02.
S Apr 2, 2017 at 20:33 history suggested Henry.L
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Apr 2, 2017 at 20:14 review Suggested edits
S Apr 2, 2017 at 20:33
Apr 2, 2017 at 17:05 history asked Tian An CC BY-SA 3.0