Abstract
In (Bessenrodt, 1991) a combinatorial proof of a refinement of the Andrews-Olsson partition identity (Andrews and Olsson, 1991) was given. In this article we explore the methods of (Bessenrodt, 1991) further to deal also with partitions where repetitions are allowed and where the restrictions on the congruence set are omitted. We obtain a considerable generalisation of the earlier results, again giving bijective proofs of the partition identities in question. As an application, it is then shown how to deduce (refinements of) some old results by Sylvester and Schur as well as some recent results by Alladi and Gordon [1].
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
