2 citations · 3 across the 5 of their papers we have counts for
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Graphs with high second eigenvalue multiplicity
Milan Haiman, Carl Schildkraut, Shengtong Zhang +1
Jiang, Tidor, Yao, Zhang, and Zhao recently showed that connected bounded degree graphs have sublinear second eigenvalue multiplicity (always referring to the adjacency matrix). Th…
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…