2 research outputs found
Theorems, Problems and Conjectures
These notes are designed to offer some (perhaps new) codicils to related
work, a list of problems and conjectures seeking (preferably) combinatorial
proofs. The main items are Eulerian polynomials and hook/contents of Young
diagram, mostly on the latter. The new additions include items on Frobenius
theorem and multi-core partitions; most recently, some problems on (what we
call) colored overpartitions. Formulas analogues to or in the spirit of works
by Han, Nekrasov-Okounkov and Stanley are distributed throughout. Concluding
remarks are provided at the end in hopes of directing the interested
researcher, properly.Comment: 14 page