11 citations · 60 across the 23 of their papers we have counts for
4 papers · 1 filter
Binary quartic forms with vanishing -invariant
Stanley Yao Xiao
We obtain an asymptotic formula for the number of -equivalence classes of irreducible binary quartic forms with integer coefficients with vanishing…
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…
On the representation of integers by binary quadratic forms
Stanley Yao Xiao
In this note we show that for a given irreducible binary quadratic form with integer coefficients, whenever we have for integers , there exists…
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…