Zentralblatt MATH

Publications of (and about) Paul Erdös

Zbl.No:  068.05403
Autor:  Erdös, Pál; Gál, I.S.
Title:  On the law of the iterated logarithm. I, II. (In English)
Source:  Nederl. Akad. Wet., Proc., Ser. A 58, 65-76, 77-84 (1955); Indag. Math. 17, 65-76, 77-84 (1955).
Review:  Die Verff. beweisen den folgenden Satz: Es sei n1 < n2 < ··· eine unendliche Folge von positiven Zahlen mit n\nu+1/n\nu \geq q > 1 (\nu = 1,2,...). Für fast alle reellen x ist dann limsupN ––> oo (N log log N)- ½ |sum\nu = 1N \exp 2 \pi i n\nu x | = 1.
Reviewer:  H.D.Kloosterman
Classif.:  * 41A30 Approximation by other special function classes
Index Words:  Approximation and series expansion

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