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math.NT2026
Mahler series with multiplicative coefficient sequences
Jason Bell, Daniel Smertnig
We prove that every Mahler series, over a field of characteristic , with multiplicative coefficients is regular in the sense of Allouche and Shallit. We also obtain an explicit…
math.NT2019
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…