2 citations · 6 across the 4 of their papers we have counts for
4 papers
Noncrossing Partition Lattices from Planar Configurations
Stella Cohen, Michael Dougherty, Andrew D. Harsh +1
The lattice of noncrossing partitions is well-known for its wide variety of combinatorial appearances and properties. For example, the lattice is rank-symmetric and enumerated by t…
On a Mertens-type conjecture for number fields
Daniel Hu, Ikuya Kaneko, Spencer Martin +1
We introduce a number field analogue of the Mertens conjecture and demonstrate its falsity for all but finitely many number fields of any given degree. We establish the existence o…
Order of Zeros of Dedekind Zeta Functions
Daniel Hu, Ikuya Kaneko, Spencer Martin +1
Answering a question of Browkin, we provide a new unconditional proof that the Dedekind zeta function of a number field has infinitely many nontrivial zeros of multiplicity at…
A hypergraph characterization of nearly complete intersections
Chiara Bondi, Courtney R. Gibbons, Yuye Ke +3
Recently, nearly complete intersection ideals were defined by Boocher and Seiner to establish lower bounds on Betti numbers for monomial ideals (arXiv:1706.09866). Stone and Miller…