Christopher Doris

activity

20172020

most citedExact

p

-adic computation in Magma

2 citations · 5 across the 5 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.NT2020★ 2 cited

Exact $p$ -adic computation in Magma

Christopher Doris

We describe a new arithmetic system for the Magma computer algebra system for working with $p$ -adic numbers exactly, in the sense that numbers are represented lazily to infinite $p…

math.NT2020

Computing the Galois group of a polynomial over a $p$ -adic field

Christopher Doris

We present a family of algorithms for computing the Galois group of a polynomial defined over a $p$ -adic field. Apart from the "naive" algorithm, these are the first general algori…

Exact p-adic computation in Magma

Computing the Galois group of a polynomial over a p-adic field

Exact $p$ -adic computation in Magma

Computing the Galois group of a polynomial over a $p$ -adic field