Generating Function for M(m,n)

Sabuj Das; Haradhan Kumar Mohajan

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Generating Function for M(m,n)

机译：M（m，n）的生成函数

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摘要

This paper shows that the coefficient of x in the right hand side of the equation is an algebraic relation in terms of z. The exponent of z represents the crank of partitions of a positive integral value of n and also shows that the sum of weights of corresponding partitions of n is the sum of ordinary partitions of n and it is equal to the number of partitions of n with crank m. This paper shows how to prove the Theorem “The number of partitions of n with crank C()=m is M(m,n) for all n>1.”.

机译：本文表明，方程右侧的x系数是z的代数关系。 z的指数表示正整数值n的分区的曲柄，并且还表明n的相应分区的权重之和是n的普通分区的总和，并且等于带有曲柄的n的分区数米本文展示了如何证明定理“对于所有n> 1，曲柄C（）= m的n的分割数为M（m，n）”。

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《Turkish Journal of Analysis and Number Theory》 |2014年第4期|共5页
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Sabuj Das; Haradhan Kumar Mohajan;
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Generating Function for M(m,n)

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