17 citations · 56 across the 8 of their papers we have counts for
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math.AC2017
Transfinitely valued Euclidean domains have arbitrary indecomposable order type
Chris J. Conidis, Pace P. Nielsen, Vandy Tombs
We prove that for every indecomposable ordinal there exists a (transfinitely valued) Euclidean domain whose minimal Euclidean norm is of that order type. Conversely, any such norm…
math.NT2017★ 11 cited
Covering systems with restricted divisibility
Robert D. Hough, Pace P. Nielsen
We prove that every distinct covering system has a modulus divisible by either 2 or 3.