7 citations · 18 across the 13 of their papers we have counts for
16 papers
Topological Zeta Functions of Matroids: Operations and Computations
Dawit Mengesha, Robert Miranda, Brian Sun
The topological zeta function of a matroid is a rational function as well as a valuative invariant of the matroid, encoding rich combinatorial information. We analyze topological z…
Twisted Alexander Polynomials and Fibered Classes in Ribbon Homology Cobordisms
Brian Sun
Let and be two compact 3-manifolds with empty or toroidal boundary. A 4-dimensional ribbon homology cobordism is a homologically trivial cobordism built with 1-handles…
Topology of augmented Bergman complexes
Elisabeth Bullock, Aidan Kelley, Victor Reiner +6
The augmented Bergman complex of a matroid is a simplicial complex introduced recently in work of Braden, Huh, Matherne, Proudfoot and Wang. It may be viewed as a hybrid of two wel…
On the probability of existence of a universal cycle or a universal word for a set of words
Herman Z. Q. Chen, Sergey Kitaev, Brian Y. Sun
A universal cycle, or u-cycle, for a given set of words is a circular word that contains each word from the set exactly once as a contiguous subword. The celebrated de Bruijn seque…
On some divisibility properties of binomial sums
Brian Y. Sun
In this paper, we consider two particular binomial sums \begin{align*} \sum_{k=0}^{n-1}(20k^2+8k+1){\binom{2k}{k}}^5 (-4096)^{n-k-1} \end{align*} and \begin{align*} \sum_{k=0}^{n-1…
Proof of a Conjecture of Z.-W. Sun on Trigonometric Series
Brian Y. Sun, J. X. Meng
Recently, Z. W. Sun introduced a sequence , where , and found one congruence and two convergent seri…