Abstract
The exponential of the triangular matrix whose entries in the diagonal at distance n from the principal diagonal are all equal to the sum of the inverses of the divisors of n is the triangular matrix whose entries in the diagonal at distance n from the principal diagonal are all equal to the number of partitions of n. A similar result holds for all pairs of sequences satisfying a special mutual recurrence.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Grosswald E (1996) Topics from the theory of numbers. Macmillan, New York, 226
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Aicardi, F. Matricial formulae for partitions. Funct. Anal. Other Math. 3, 127–133 (2011). https://doi.org/10.1007/s11853-011-0045-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11853-011-0045-z