1 citations · 2 across the 6 of their papers we have counts for
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math.CO2019★ 1 cited
Sandpile Groups of Cayley Graphs of
Jiyang Gao, Jared Marx-Kuo, Vaughan McDonald +1
The sandpile group of a connected graph , defined to be the torsion part of the cokernel of the graph Laplacian, is a subtle graph invariant with combinatorial, algebraic, and g…
math.NT2019
Möbius formulas for densities of sets of prime ideals
Michael Kural, Vaughan McDonald, Ashwin Sah
We generalize results of Alladi, Dawsey, and Sweeting and Woo for Chebotarev densities to general densities of sets of primes. We show that if is a number field and is any…
math.NT2019
Primes with Beatty and Chebotarev conditions
Caleb Ji, Joshua Kazdan, Vaughan McDonald
We study the prime numbers that lie in Beatty sequences of the form and have prescribed algebraic splitting conditions. We prove that the density of primes…