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Generalization of a Bracket Function Formula of L. Moser

Published online by Cambridge University Press:  20 November 2018

H. W. Gould
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In Problem P 60 L. Moser has proposed the formula

1

This can be expressed in the more elegant form

2

The formula has been given in the literature a number of times. For example, it was proved by Bouniakovsky [1].

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 6 , Issue 2 , May 1963 , pp. 275 - 278
Copyright
Copyright © Canadian Mathematical Society 1963

References

1. Bouniakovsky, V., Démonstration de quelques propositions relatives à la fonction numérique E(x), Art. 3ème Pétersbourg, Mélanges, p. 169-201. Cf. Jahrbuch Qber die Fortschritte der Mathematik, v. 16(1884), 150-151.Google Scholar
2. Moser, L., Problem P 60, Canadian Math. Bulletin, 5(1962), 310.Google Scholar
3. Zeller, Chr., Über Summen von grössten Ganzen bei arithmetischen Reihen, Gött, Nachr. 1879, 243-268.Google Scholar