29 citations · 50 across the 3 of their papers we have counts for
3 papers
math.NT2008
Visibility of ideal classes
Rene Schoof, Lawrence C. Washington
Cremona, Mazur, and others have studied what they call visibility of elements of Shafarevich-Tate groups of elliptic curves. The analogue for an abelian number field is capitul…
math.NT2008★ 21 cited
Four primality testing algorithms
Rene Schoof
In this expository paper we describe four primality tests. The first test is very efficient, but is only capable of proving that a given number is either composite or 'very probabl…
math.NT2008★ 29 cited
Computing Arakelov class groups
Rene Schoof
Shanks's infrastructure algorithm and Buchmann's algorithm for computing class groups and unit groups of rings of integers of algebraic number fields are most naturally viewed as c…