Abstract
Heim, Neuhauser and Tröger recently established some inequalities for MacMahon's plane partition function PL(n) that generalize known results for Euler's partition function p(n). They also conjectured that PL(n) is log-concave for all n≥12. We prove this conjecture. Moreover, for every d≥1, we prove their speculation that PL(n) satisfies the degree d Turán inequalities for sufficiently large n. The case where d=2 is the case of log-concavity.
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.
