9 citations · 10 across the 3 of their papers we have counts for
7 papers · 1 filter
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}…
Characteristic polynomials of p-adic matrices
Xavier Caruso, David Roe, Tristan Vaccon
We analyze the precision of the characteristic polynomial of an p-adic matrix A using differential precision methods developed previously. When A is integral with preci…
p-Adic Stability In Linear Algebra
Xavier Caruso, David Roe, Tristan Vaccon
Using the differential precision methods developed previously by the same authors, we study the p-adic stability of standard operations on matrices and vector spaces. We demonstrat…