Zentralblatt MATH

Publications of (and about) Paul Erdös

Zbl.No:  061.12804
Autor:  Erdös, Pál
Title:  A note on Farey series. (In English)
Source:  Q. J. Math., Oxf. Ser. 14, 82-85 (1943).
Review:  Suppose a1/b1, a2/b2,... are the positive reduced fractions of denominator \leq n. The A. proves the existence of an absolute constant c such that if n > ck then (a\nu-a\nu+k) (b\nu-b\nu+k) \geq 0 for \nu = 1,2,... This is more specific form of a result of A.E.Mayer [same journal 13, 185-192 (1942; Zbl 061.06703)].
Reviewer:  P.T.Bateman
Classif.:  * 11B57 Farey sequences; the sequences
Index Words:  series, summability

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