Functiones et Approximatio Commentarii Mathematici

A new identity. II

K. Ramachandra

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Abstract

A new identity is proved. From this we deduce as corollaries: 2.1–an identity involving the Lionville's function $\lambda(n)$, 2.2–an identity involving the von-Mongoldt's function $\lambda(n)$ and 2.3–an identity involving the generating function of Waring's problem. Some other identities are also mentioned.

Note

Dedicated to Włodzimierz Staś on the occasion of his 75th birthday

Article information

Source
Funct. Approx. Comment. Math., Volume 28 (2000), 127-130.

Dates
First available in Project Euclid: 29 September 2018

Permanent link to this document
https://projecteuclid.org/euclid.facm/1538186689

Digital Object Identifier
doi:10.7169/facm/1538186689

Mathematical Reviews number (MathSciNet)
MR1823998

Subjects
Primary: 11-XX: NUMBER THEORY 11JXX 11J99: None of the above, but in this section 11M99: None of the above, but in this section
Secondary: 11P05: Waring's problem and variants

Keywords
higher powers of partial sums re-arrangement of series and identities involving infinite series

Citation

Ramachandra, K. A new identity. II. Funct. Approx. Comment. Math. 28 (2000), 127--130. doi:10.7169/facm/1538186689. https://projecteuclid.org/euclid.facm/1538186689


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