5 citations · 9 across the 3 of their papers we have counts for
3 papers
math.NT2002★ 4 cited
On Shafarevich-Tate groups and the arithmetic of Fermat Curves
William G. McCallum, Pavlos Tzermias
We extend the results of the first author on nontrivial elements in the Shafarevich-Tate group of the jacobian of a quotient of a Fermat curve of prime degree, and use the methods…
math.NT2002
A Cup Product in the Galois Cohomology of Number Fields
William G. McCallum, Romyar T. Sharifi
Let K be a number field containing the group of n-th roots of unity and S a set of primes of K including all those dividing n and all real archimedean places. We consider the cup p…
math.NT2000★ 5 cited
Greenberg's conjecture and units in multiple Z_p-extensions
William G. McCallum
In this paper we prove Greenberg's pseudo-null conjecture for the field of p-th roots of unity in the case that p exactly divides the class number and the index of the global units…