Abstract
Let [Formula: see text] denote the number of partition triples of [Formula: see text] where each partition is 3-core. With the help of generating function manipulations, we find several infinite families of arithmetic identities and congruences for [Formula: see text]. Moreover, let [Formula: see text] denote the number of representations of a non-negative integer [Formula: see text] in the form [Formula: see text] with [Formula: see text] We find three arithmetic relations between [Formula: see text] and [Formula: see text], such as [Formula: see text].
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.
