JP Journal of Algebra, Number Theory and Applications
Volume 5, Issue 2, Pages 369 - 375
(August 2005)
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ON THE DIVISOR FUNCTION
John A. Ewell (U. S. A.)
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Abstract: For given integers m, n, if n > 0, then d(n) denotes the number of positive divisors of n. If n ? 0, then q(n) denotes the number of partitions of n into distinct parts, where q(0) := 1. If m >0 and n ? 0, then pm(n) denotes the number of partitions of n into parts not exceeding m; conventionally pm (0) :=1. In this paper the function d(×¼/span>)is expressed in terms of the functions q(×¼/span>) and pm (×¼/span>), m > 0. |
Keywords and phrases: expression of the divisor function in terms of certain restricted partition functions. |
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