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Gleichverteilung und das Konvergenzverhalten von Potenzreihen am Rande des Konvergenzkreises. (German) Zbl 0516.10030


MSC:

11L40 Estimates on character sums
30B30 Boundary behavior of power series in one complex variable; over-convergence
11K06 General theory of distribution modulo \(1\)
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References:

[1] K.Knopp, Theorie und Anwendung der unendlichen Reihen, Grundlehren der Math.Wiss., Springer Verlag, Berlin-Göttingen-Heidelberg-New York,1964 · Zbl 0124.28302
[2] K.Knopp, Funktionentheorie II, Sammlung Göschen, Bd. 703,Walter de Gruyter Verlag, Berlin,1949
[3] E.Hlawka, Theorie der Gleichverteilung B.I., Mannheim-Wien-Zürich, 1979
[4] L. Kuipers - H.Niederreiter, Uniform distribution of sequences, John Wiley and Sons, New York, 1974 · Zbl 0281.10001
[5] G.H.Hardy, A theorem concerning Taylor’s Series, Quarterly Journ.44 (1913), 147-160 · JFM 44.0476.04
[6] G.H.Hardy, Collected papers, IV, Oxford, At the
[7] J.E. Maxfield, Math. Magacine43 (1970), 64-67 · Zbl 0217.04003
[8] G. Polya - G. Szegö, Aufgaben und Lehrsätze der Analysis I, Grundlehren-der Math. Wiss., Band 19 Springer Verlag, Berlin-Göttingen-Heidelberg-New York, 1964
[9] J.H.B. Kemperman, On the distribution of a sequence in a compact group,Compositio Math.16, (1964),138-157 · Zbl 0131.27004
[10] G.H.Hardy, Divergent series, Oxford Univ. Press, London 1949 · Zbl 0032.05801
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