24 citations · 25 across the 4 of their papers we have counts for
4 papers
Subgroups of Finite Fields As Cap Sets
Anthony Kable, Melissa Mills, David J. Wright
We show the subgroup of 20 nonzero fourth powers in the finite field of order 81 is a cap set. Similarly, the subgroup of 9 nonzero seventh powers in the field of order 64 is a cap…
The mean vcalue of the product of class numbers of paired quadratic fields II
Anthony C. Kable, Akihiko Yukie
This is the second part of a two part paper. In this part, we evaluate the previously unevaluated local densities at dyadic places which appear in the density theorem stated in the…
The mean vcalue of the product of class numbers of paired quadratic fields I
Anthony C. Kable, Akihiko Yukie
Let be a number field and a fixed quadratic extension of . In this paper and its companion, we find the mean value of the product of class numbers and regulators…
Prehomogeneous vector spaces and field extensions II
Anthony C. Kable, Akihiko Yukie
The purpose of the paper is to prove an analogous correspondence for the above prehomogeneous vector space (1)-(3). For case (1) the correspondence is bijective. However, it turns…