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
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) = (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

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