21 citations · 27 across the 3 of their papers we have counts for
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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.NT2005★ 6 cited
Abelian varieties over Q with bad reduction in one prime only
Rene' Schoof
Let l be a prime. We show that there do not exist any non-zero semi-stable abelian varieties over Q with good reduction outside l if and only if l=2, 3, 5, 7 or 13. We show that an…