Generating Functions for X(n) and Y(n)

Das, Sabuj and Mohajan, Haradhan (2014): Generating Functions for X(n) and Y(n). Published in: American Review of Mathematics and Statistics , Vol. 2, No. 1 (1 May 2014): pp. 41-43.

Abstract

This paper shows how to prove the Theorem , i.e., the number of partitions of n with no part repeated more than twice is equal to the number of partitions of n with no part is divisible by 3.

• Item Type: MPRA Paper
• Language: English
• Keywords: Infinite factors, enumerated by X(n)
• Subjects: C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods

References

Andrews, G.E. (1987). Introduction to Srinivasa Ramanujan: the Lost Notebook and Other Unpublished Papers, Narosa, New Delhi.

Burn, R.P. (1996). A Pathway into Number Theory, 2nd Edition, Cambridge University Press, Cambridge.