An Extension of Euler's Theorem

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Authors

  • Centre for Advanced Study in Mathematics, Panjab University, Chandigarh-160014 ,IN

Abstract

Euler' s classical partition identity "The number of partitions of an integer v into distinct parts is equal to the number of its partitions into odd parts” is extended to eight more combinatorial functions. This results in a 10-way combinatorial identity which implies 45 combinatorial identities in the usual sense. Euler's identity is just one of them.

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Published

2003-12-01

How to Cite

Agarwal, A. K. (2003). An Extension of Euler’s Theorem. The Journal of the Indian Mathematical Society, 70(1-4), 17–24. Retrieved from https://www.informaticsjournals.com/index.php/jims/article/view/21887