Mathematical Physics

    

Harmonic Theory of the Linear Representation of Partitions

Authors: Michalis Psimopoulos

The partitions of a positive integer can be expressed by a linear recursion formula where the coefficients represent the sum of divisors of their index. In the present paper it is shown that these coefficients can be obtained exactly from a triangular algorithm where its columns are well defined harmonic sequences. As a result, a new relation between partitions and harmonic functions is established.

Comments: 16 Pages.

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[v1] 2022-07-16 08:34:15

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