ON THE MERCA'S CONNECTION BETWEEN THE PARTITION FUNCTION AND EULER'S TOTIENT
We employ the Z-transform to study a result of Merca involving the partition function $p(n)$ and Euler's totient. Besides, we obtain an identity valid for pentagonal numbers and an arbitrary prime number. Keywords: Partition function, Dirichlet character, Euler totient function, Z-transform, Möbius function.
Authors
- Mateus Alegri (ORCID: https://orcid.org/0000-0002-3735-5345)
- J. Bonilla (ORCID: https://orcid.org/0000-0002-6982-6121)
- J Prajapati
Institutions
- Universidade Federal de Sergipe (BR)
Publication Details
- Journal
- Revista Sergipana de Matemática e Educação Matemática
- Published
- 2024-10-14
- DOI
- https://doi.org/10.34179/revisem.v9i3.21794
- Primary Topic
- Mathematics and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00