From the 1 of 11 linked papers with an AI index.
4 papers · 1 filter
Record compositions of alternating permutations and noncommutative symmetric functions
Evan Chen, Ken Ono, Michal Mogielnicki
The paper determines the exact count of alternating permutations of even length with a given record composition, expressing the numbers using binomial coefficients and Euler number…
Fel's Conjecture on Syzygies of Numerical Semigroups
Evan Chen, Chris Cummins, GSM +18
Let be a numerical semigroup and its semigroup ring. The Hilbert numerator of determines normalized alternating syzygy power sums $K_…
Reciprocals of Partition Polynomials
Evan Chen, Ken Ono, Jujian Zhang
Ballantine--Beck--Feigon--Maurischat introduced the subsum polynomial \[ \operatorname{sp}(λ,x):=\prod_i (1+x^{λ_i}) \] attached to an integer partition , and studied rationa…
Dead ends in square-free digit walks
Evan Chen, Chris Cummins, Ben Eltschig +18
We study "dead ends" in square-free digit walks: square-free integers such that, in base , every one-digit extension is non-square-free. In base , the stochastic…