Keywords:-

Keywords: Sum of divisors function, Bell polynomials, Sums of triangular numbers, Recurrence relations, Osler et al - Robbins identity, Colour partitions, Pentagonal numbers, Partition function.

Article Content:-

Abstract

We show that the recurrence relation deduced by Robbins and Osler et al for the sum of divisors  function can be solved in terms of the complete Bell polynomials. Besides, the connection  between  and the number of representations of n as the sum of four triangular numbers  allows obtain arecurrence relation where only participate the values of  with m odd.

References:-

References

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Sivaraman, R., Bulnes, J. D., & López-Bonilla, J. (2023). Sum of Divisors Function. International Journal Of Mathematics And Computer Research, 11(7), 3540-3542. https://doi.org/10.47191/ijmcr/v11i7.06