17 citations · 94 across the 22 of their papers we have counts for
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math.NT2017★ 1 cited
The number of quartic -fields with monogenic cubic resolvent ordered by conductor
Cindy Tsang, Stanley Yao Xiao
In this paper, we consider maximal and irreducible quartic orders which arise from integral binary quartic forms, via the construction of Birch and Merriman, and whose field of fra…
math.NT2017
On the self-duality of rings of integers in tame and abelian extensions
Cindy Tsang
Let be a tame and Galois extension of number fields with group . It is well-known that any ambiguous ideal in is locally free over (of rank one), and…
math.NT2017★ 1 cited
Binary quartic forms with bounded invariants and small Galois groups
Cindy Tsang, Stanley Yao Xiao
In this paper, we consider integral and irreducible binary quartic forms whose Galois group is isomorphic to a subgroup of the dihedral group of order eight. We first show that the…