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Currently displaying 1 – 4 of 4

Order by Relevance | Title | Year of publication

Gleichverteilte Folgen und differenzierbare Funktionen.

H. Rindler; J. Schoißengeier — 1977

Monatshefte für Mathematik

Almost periodic functions and uniform distribution mod 1.

Harald Niederreiter; J. Schoißengeier — 1977

Journal für die reine und angewandte Mathematik

Minimum and maximum order of magnitude of the discrepancy of (nα)

C. Baxa; J. Schoissengeier — 1994

Acta Arithmetica

On sums of two cubes: an Ω₊-estimate for the error term

M. Kühleitner; W. G. Nowak; J. Schoissengeier; T. D. Wooley — 1998

Acta Arithmetica

The arithmetic function $r_{k} (n)$ counts the number of ways to write a natural number n as a sum of two kth powers (k ≥ 2 fixed). The investigation of the asymptotic behaviour of the Dirichlet summatory function of $r_{k} (n)$ leads in a natural way to a certain error term $P_{_{k}} (t)$ which is known to be $O (t^{1 / 4})$ in mean-square. In this article it is proved that $P_{₃} (t) = Ω ₊ (t^{1 / 4} {(l o g l o g t)}^{1 / 4})$ as t → ∞. Furthermore, it is shown that a similar result would be true for every fixed k > 3 provided that a certain set of algebraic numbers contains a sufficiently...

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