Manvendra Tamba

Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132

Volume 21, 2015, Number 3, Pages 77–79

**Full paper (PDF, 102 Kb)**

## Details

### Authors and affiliations

Manvendra Tamba

*Department of Mathematics, Goa University
Taleigao Plateau, Goa 403206, India
*

### Abstract

Let M(n) = (N_{3}(n)/48), where N_{3}(n) denotes the number of ways in which n can be written as sum of three squares. We study the congruence properties of some partition

functions in relation to M(16n + 14).

### Keywords

- Partitions
- Congruences

### AMS Classification

- 11P83

### References

- Andrews, G. E. (1976) The Theory of Partitions, (G.-C. Rota, Ed.), Encyclopedia of Math.and Its Applications, Vol. 2, Addison-Wesley, Reading, MA.
- Andrews, G. E., Dyson, F. J., & Hickerson, D. (1988) Partitions and indefinite quadratic forms, Invent. Math., 91, 391–407.
- Tamba, M. (1992) On a partition function which assumes all integral values, J. Number Theory, 41, 77–86.
- Tamba, M. (1992) Note on a partition function, J. Number Theory, 41, 280–282.
- Tamba, M. (2014) Note on a partition function which assumes all integral values. Turkish Journal of Analysis and Number Theory, 2(6), 220–222. doi:10.12691/tjant-2-6–5.

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## Cite this paper

Tamba, M. (2015). Congruence properties of some partition functions. *Notes on Number Theory and Discrete Mathematics*, 21(3), 77-79.