33 citations · 49 across the 4 of their papers we have counts for
4 papers
Codes and Supersymmetry in One Dimension
C. F. Doran, M. G. Faux, S. J. Gates +4
Adinkras are diagrams that describe many useful supermultiplets in D=1 dimensions. We show that the topology of the Adinkra is uniquely determined by a doubly even code. Conversely…
Second Isogeny Descents and the Birch and Swinnerton-Dyer Conjectural Formula
Brendan Creutz, Robert L. Miller
Let h be a p-isogeny of elliptic curves. We describe how to perform h-descents on the nontrivial elements in the Shafarevich-Tate group which are killed by the dual isogeny h'. Thi…
Explicit isogeny descent on elliptic curves
R. L. Miller, M. Stoll
In this note, we consider an l-isogeny descent on a pair of elliptic curves over Q. We assume that l > 3 is a prime. The main result expresses the relevant Selmer groups as kernels…
Proving the Birch and Swinnerton-Dyer conjecture for specific elliptic curves of analytic rank zero and one
R. L. Miller
We describe an algorithm to prove the Birch and Swinnerton-Dyer conjectural formula for any given elliptic curve defined over the rational numbers of analytic rank zero or one. Wit…