29 citations · 66 across the 15 of their papers we have counts for
16 papers
Hypergeometric -functions in average polynomial time, II
Edgar Costa, Kiran S. Kedlaya, David Roe
For a fixed positive integer , we describe an algorithm for computing, for all primes , the mod- reduction of the trace of Frobenius at of a fixed hypergeomet…
Hypergeometric L-functions in average polynomial time
Edgar Costa, Kiran S. Kedlaya, David Roe
We describe an algorithm for computing, for all primes , the mod- reduction of the trace of Frobenius at of a fixed hypergeometric motive in time quasilinear in $X…
Counterexamples to a Conjecture of Ahmadi and Shparlinski
Taylor Dupuy, Kiran Kedlaya, David Roe +1
Ahmadi-Shparlinski conjectured that every ordinary, geometrically simple Jacobian over a finite field has maximal angle rank. Using the L-Functions and Modular Forms Database, we p…
Isogeny Classes of Abelian Varieties over Finite Fields in the LMFDB
Taylor Dupuy, Kiran Kedlaya, David Roe +1
This document is intended to summarize the theory and methods behind fq_isog collection inside the ab_var database in the LMFDB as well as some observations gleaned from these data…
The Inverse Galois Problem for p-adic fields
David Roe
We describe a method for counting the number of extensions of with a given Galois group , founded upon the description of the absolute Galois group of $\mathbb{Q}…
ZpL: a p-adic precision package
Xavier Caruso, David Roe, Tristan Vaccon
We present a new package ZpL for the mathematical software system SM. It implements a sharp tracking of precision on p-adic numbers, following the theory of ultrametric precision i…