✦ LIBER ✦

The Structure of Farey Series

✍ Scribed by Neville, E. H.

Book ID: 120103631
Publisher: Oxford University Press
Year: 1949
Tongue: English
Weight: 326 KB
Volume: s2-51
Category: Article
ISSN: 0024-6115
DOI: 10.1112/plms/s2-51.2.132

No coin nor oath required. For personal study only.

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A function E(b, s) is defined on the set {s in N, b in Z, (b, s)=1} implicitly, by a functional equation. Various conjectures arise from tables and some of these are proved. This function is then related to a partial sum of Farey indices weighted according to the parity of the Farey denominators. An