Congruence properties of some partition functions

Manvendra Tamba
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 21, 2015, Number 3, Pages 77—79
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Authors and affiliations

Manvendra Tamba
Department of Mathematics, Goa University
Taleigao Plateau, Goa 403206, India

Abstract

Let M(n) = (N3(n)/48), where N3(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

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

APA

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

Chicago

Tamba, Manvendra. “Congruence Properties of Some Partition Functions.” Notes on Number Theory and Discrete Mathematics 21, no. 3 (2015): 77-79.

MLA

Tamba, Manvendra. “Congruence Properties of Some Partition Functions.” Notes on Number Theory and Discrete Mathematics 21.3 (2015): 77-79. Print.

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