The Journal of the Indian Mathematical Society

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A Formula in Partitions


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1 Hoshiarpur, India
     

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In what follows, Pm(n) denotes the number of those partitions of n in which the smallest element is m; pm(n) the number of those in which m is the largest element, i.e. the number of partitions of n into exactly m non-zero parts; and p(n) denotes the number of unrestricted partitions of n.
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  • A Formula in Partitions

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Authors

Hansraj Gupta
Hoshiarpur, India

Abstract


In what follows, Pm(n) denotes the number of those partitions of n in which the smallest element is m; pm(n) the number of those in which m is the largest element, i.e. the number of partitions of n into exactly m non-zero parts; and p(n) denotes the number of unrestricted partitions of n.