5 citations · 11 across the 7 of their papers we have counts for
10 papers
On the moments of one-level densities in families of holomorphic cusp forms in the level aspect
Peter Cohen, Justine Dell, Oscar E. González +10
We study the centered moments of the -level density for the low-lying zeros of -functions attached to holomorphic cuspidal newforms of large prime level and fixe…
On the arithmetic of a family of superelliptic curves
Sarah Arpin, Richard Griffon, Libby Taylor +1
Let be a prime, let and be powers of , and let and be relatively prime integers not divisible by . Let be the superelliptic curve wit…
Restriction of Scalars Chabauty and the -unit equation
Nicholas Triantafillou
Given a smooth, proper, geometrically integral curve of genus with Jacobian over a number field , Chabauty's method is a -adic technique to bound when $…
The unit equation has no solutions in number fields of degree prime to where splits completely
Nicholas Triantafillou
Let be a number field with ring of integers . We prove that if does not divide and splits completely in , then the unit equation has…
Two recent p-adic approaches towards the (effective) Mordell conjecture
Jennifer S. Balakrishnan, Alex J. Best, Francesca Bianchi +4
We give an introductory account of two recent approaches towards an effective proof of the Mordell conjecture, due to Lawrence--Venkatesh and Kim. The latter method, which is usual…
Dual linear programming bounds for sphere packing via modular forms
Henry Cohn, Nicholas Triantafillou
We obtain new restrictions on the linear programming bound for sphere packing, by optimizing over spaces of modular forms to produce feasible points in the dual linear program. In…
Computing Zeta Functions of Cyclic Covers in Large Characteristic
Vishal Arul, Alex J. Best, Edgar Costa +2
We describe an algorithm to compute the zeta function of a cyclic cover of the projective line over a finite field of characteristic that runs in time . We conf…
Efficient Point-Counting Algorithms for Superelliptic Curves
Matthew Hase-Liu, Nicholas Triantafillou
In this paper, we present efficient algorithms for computing the number of points and the order of the Jacobian group of a superelliptic curve over finite fields of prime order p.…
Distribution of Eigenvalues of Weighted, Structured Matrix Ensembles
Olivia Beckwith, Victor Luo, Steven J. Miller +2
The limiting distribution of eigenvalues of N x N random matrices has many applications. One of the most studied ensembles are real symmetric matrices with independent entries iidr…
Sharp Threshold Asymptotics for the Emergence of Additive Bases
Anant Godbole, Chang Mou Lim, Vince Lyzinski +1
A subset A of {0,1,...,n} is said to be a 2-additive basis for {1,2,...,n} if each j in {1,2,...,n} can be written as j=x+y, x,y in A, x<=y. If we pick each integer in {0,1,...,n}…