4 papers
Lower-Order Biases Second Moments of Dirichlet Coefficients in Families of -Functions
Megumi Asada, Ryan Chen, Eva Fourakis +9
Let be a nontrivial one-parameter family of elliptic curves over , with , and consider the \te…
Avoiding 3-Term Geometric Progressions in Hurwitz Quaternions
Megumi Asada, Bruce Fang, Eva Fourakis +6
Several recent papers have considered the problem of how large a subset of integers can be without containing any 3-term geometric progressions. This problem has also recently been…
Fair division and generalizations of Sperner- and KKM-type results
Megumi Asada, Florian Frick, Vivek Pisharody +4
We treat problems of fair division, their various interconnections, and their relations to Sperner's lemma and the KKM theorem as well as their variants. We prove extensions of Alo…
On Reay's relaxed Tverberg conjecture and generalizations of Conway's thrackle conjecture
Megumi Asada, Ryan Chen, Florian Frick +5
Reay's relaxed Tverberg conjecture and Conway's thrackle conjecture are open problems about the geometry of pairwise intersections. Reay asked for the minimum number of points in E…