Abstract
Let ped(n) be the number of partitions of n wherein even parts are distinct (and odd parts are unrestricted). We refine early work on congruences for ped(n) modulo 2 and 4 and obtain a family of new congruences for ped(n) modulo 16 and 64. We also prove that for any positive integer k the density of the natural numbers n such that ped(n)≡0(mod2k) is 1.
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.
