Journal of the Ramanujan Mathematical Society
Volume 37, Issue 4, December 2022 pp. 375–384.
On some bijective proofs for identities related to the norm of a partition
Authors:
Mateus Alegri and Wagner Ferreira Santos
Author institution:
Department of Mathematics (DMAI), University of Sergipe, 49500-000, Itabaiana-SE, Brazil.
Summary:
We aim to provide partition identities and q-hypergeometric identities
related to the concept of a norm of partition. We obtained the results using
the so-called chromatic partitions and bi-chromatic partitions which are
equivalent to the concepts of Dotted Young Diagram and Multicolor Dotted
Young Diagram.
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