2 citations · 4 across the 3 of their papers we have counts for
4 papers
An improved error term for counting -quartic fields
Kevin J. McGown, Amanda Tucker
We prove that the number of quartic fields with discriminant whose Galois closure is equals , improving the error term in a well-…
Counting quintic fields with genus number one
Kevin J. McGown, Frank Thorne, Amanda Tucker
We prove several results concerning genus numbers of quintic fields: we compute the proportion of quintic fields with genus number one; we prove that a positive proportion of quint…
Statistics of genus numbers of cubic fields
Kevin J. McGown, Amanda Tucker
We prove that approximately of cubic fields, ordered by discriminant, have genus number one, and we compute the exact proportion of cubic fields with a given genus number…
Consecutive Integers and the Collatz Conjecture
Marcus Elia, Amanda Tucker
Pairs of consecutive integers have the same height in the Collatz problem with surprising frequency. Garner gave a conjectural family of conditions for exactly when this occurs. Ou…