73 citations · 300 across the 27 of their papers we have counts for
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math.CO2019★ 11 cited
Noncommutative rational Pólya series
Jason Bell, Daniel Smertnig
A (noncommutative) Pólya series over a field is a formal power series whose nonzero coefficients are contained in a finitely generated subgroup of . We show that rati…
math.NT2019★ 5 cited
Definite orders with locally free cancellation
Daniel Smertnig, John Voight
We enumerate all orders in definite quaternion algebras over number fields with the Hermite property; this includes all orders with the cancellation property for locally free modul…
math.RA2019★ 11 cited
On basic and Bass quaternion orders
Sara Chari, Daniel Smertnig, John Voight
A quaternion order O over a Dedekind domain R is Bass if every R-superorder is Gorenstein, and O is basic if it contains an integrally closed quadratic R-order. In this article, we…