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A simple bijective proof of Generalized Schur's theorem.(Formula)

From: Tamsui Oxford Journal of Mathematical Sciences  |  Date: 5/1/2007  |  Author: Chandrashekara, B.M.; Raghavendra, Padmavathamma R.

Abstract

The object of this paper is to give a simple bijective proof of the generalized version of Schur's theorem stated and proved by D.M. Bressoud in the year 1980.

Keywords and Phrases: Schur's theorem, Generalized version, Bijective Proof.

1. Introduction

In 1980, D. M. Bressoud [4] gave a combinatorial proof of Schur's 1926 theorem by establishing a one-to-one correspondence between the two types of partitions counted in the theorem. In fact he proved the ...

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