Web1 nov. 2003 · This paper sets up an iteration step from a strong hypothesis about integer points close to curves to a bound for the discrepancy, the number of integer points … Web1 mei 1990 · On the way we obtain results on two-dimensional exponential sums, the average rounding error of the values of a smooth function at equally spaced arguments, …

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Web1 nov. 2003 · M. Huxley Mathematics 1993 A Van der Corput exponential sum is S = Σ exp (2 π i f (m)) where m has size M, the function f (x) has size T and α = (log M) / log T … Web16 dec. 2004 · A Van der Corput exponential sum is $S = \Sigma \exp (2 \pi i f (m))$, where $m$ has size $M$, the function $f (x)$ has size $T$ and $\alpha = (\log M) / \log T < 1$. There are different bounds for $S$ in different ranges for $\alpha $. In the middle range where $\alpha $ is near $ {1\over 2}$, $S = O (\sqrt {M} T^ {\theta + \epsilon })$. talon igniters

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WebM.N. Huxley (1996b), “The integer points close to a curveII”inAnalytic Number Theory, Proceedings of a Conference in Honor of Heini Halberstam 2, 487–516 ( Birkhäuser, Boston ). Google Scholar M.N. Huxley, “The integer points close to a curve III”in Number Theory in Progress I1(1999), 911–940 (de Gruyter, Berlin). Google Scholar Web1 mei 1990 · On the way we obtain results on two-dimensional exponential sums, the average rounding error of the values of a smooth function at equally spaced arguments, and the number of lattice points close to a smooth arc. Issue Section: Articles PDF This content is only available as a PDF. © Oxford University Press © Oxford University Press Web1 jan. 2005 · Martin Neil Huxley Abstract A Van der Corput exponential sum is S = Σ exp (2 π i f (m)) where m has size M, the function f (x) has size T and α = (log M) / log T < 1. There are different... talon hydraulic wrench safe operation