Hlawka, Edmund Gleichverteilung und das Konvergenzverhalten von Potenzreihen am Rande des Konvergenzkreises. (German) Zbl 0516.10030 Manuscr. Math. 44, 231-263 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 4 Documents MSC: 11L40 Estimates on character sums 30B30 Boundary behavior of power series in one complex variable; over-convergence 11K06 General theory of distribution modulo \(1\) Keywords:convergence behaviour of binomial series; hypergeometric series; power series; estimates of weighted exponential sums; uniform distribution PDF BibTeX XML Cite \textit{E. Hlawka}, Manuscr. Math. 44, 231--263 (1983; Zbl 0516.10030) Full Text: DOI EuDML OpenURL 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.