## Functiones et Approximatio Commentarii Mathematici

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

### A new identity. II

#### 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