9 citations · 14 across the 8 of their papers we have counts for
10 papers
Distributions of Hook lengths in integer partitions
Michael Griffin, Ken Ono, Wei-Lun Tsai
Motivated by the many roles that hook lengths play in mathematics, we study the distribution of the number of -hooks in the partitions of . We prove that the limiting distrib…
Limiting Betti distributions of Hilbert schemes on points
Michael Griffin, Ken Ono, Larry Rolen +1
Hausel and Rodriguez-Villegas recently observed that work of Göttsche, combined with a classical result of Erdős and Lehner on integer partitions, implies that the limiting Betti d…
AGM and jellyfish swarms of elliptic curves
Michael J. Griffin, Ken Ono, Neelam Saikia +1
The classical produces wonderful interdependent infinite sequences of arithmetic and geometric means with common limit. For finite fields with $q\equ…
Tamagawa products of elliptic curves over
Michael Griffin, Ken Ono, Wei-Lun Tsai
We explicitly construct the Dirichlet series where is the proportion of elliptic…
Even values of Ramanujan's tau-function
Jennifer S. Balakrishnan, Ken Ono, Wei-Lun Tsai
In the spirit of Lehmer's speculation that Ramanujan's tau-function never vanishes, it is natural to ask whether any given integer is a value of . For odd , Murty, Mur…
Heights of points on elliptic curves over
Michael Griffin, Ken Ono, Wei-Lun Tsai
In this note we obtain effective lower bounds for the canonical heights of non-torsion points on by making use of suitable elliptic curve ideal class pairings $$Ψ_{…
Quadratic twists of elliptic curves and class numbers
Michael Griffin, Ken Ono, Wei-Lun Tsai
For positive rank elliptic curves , we employ ideal class pairings for quadratic twists…
Variants of Lehmer's speculation for newforms
Jennifer S. Balakrishnan, William Craig, Ken Ono +1
In the spirit of Lehmer's unresolved speculation on the nonvanishing of Ramanujan's tau-function, it is natural to ask whether a fixed integer is a value of or is a Fourier…
Malle's Conjecture for , with
Riad Masri, Frank Thorne, Wei-Lun Tsai +1
We prove Malle's conjecture for , with and an abelian group. This builds upon work of the fourth author, who proved this result with restrictions…
Asymptotic Distribution of the Partition Crank
Asimina Hamakiotes, Aaron Kriegman, Wei-Lun Tsai
The partition crank is a statistic on partitions introduced by Freeman Dyson to explain Ramanujan's congruences. In this paper, we prove that the crank is asymptotically equidistri…