K. Siddharth Choudary and A. Satyanarayana Reddy

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 26, 2020, Number 2, Pages 53–60

DOI: 10.7546/nntdm.2020.26.2.53-60

**Full paper (PDF, 170 Kb)**

## Details

### Authors and affiliations

K. Siddharth Choudary

*Department of Mathematics, Shiv Nadar University
India-201314
*

A. Satyanarayana Reddy

*Department of Mathematics, Shiv Nadar University
India-201314
*

### Abstract

In this paper, for a given natural number we count the number of -tuples with certain conditions such that lcm In the process, we derived different arithmetic functions.

### Keywords

- Arithmetic function
- Multiplicative function
- Least common multiple
- Stirling numbers of the second kind

### 2010 Mathematics Subject Classification

- 11A41
- 11A51
- 11A25

### References

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- Djamel, B. A., & Özer, Ö. (2019). On a sequence formed by iterating a divisor operator, Czechoslovak Mathematical Journal, 69 (4), 1177–1196.
- Erdős, P. (1964). On the multiplicative representation of integers, Israel J. Math., 2, 251–261.
- Hardy, G. H., & Wright, E. M. (1979). An Introduction to the Theory of Numbers,

5th edition, Oxford University Press, Oxford. - Jones, G. A., & Jones, J. M. (1998). Elementary Number Theory, Springer Undergraduate Mathematics Series.
- Nathanson, M. B. (1987). Multiplicative representations of integers, Israel J. Math., 57, 129–136.

## Related papers

## Cite this paper

Siddharth Choudary, K., & Satyanarayana Reddy, A. (2020). Number of tuples with a given least common multiple. *Notes on Number Theory and Discrete Mathematics*, 26 (2), 53-60, DOI: 10.7546/nntdm.2020.26.2.53-60.