Outputs (2)

Special values of L-functions and false Tate curve extensions (2010)
Journal Article
Bouganis, A. (2010). Special values of L-functions and false Tate curve extensions. Journal of the London Mathematical Society, 82(3), 596-620. https://doi.org/10.1112/jlms/jdq041

In this paper we show how the p-adic Rankin–Selberg product construction of Hida can be combined with freeness results of Hecke modules of Wiles to establish interesting congruences between particular special values of L-functions of elliptic curves.... Read More about Special values of L-functions and false Tate curve extensions.

On the non-commutative Main Conjecture for elliptic curves with Complex Multiplication (2010)
Journal Article
Bouganis, A., & Venjakob, O. (2010). On the non-commutative Main Conjecture for elliptic curves with Complex Multiplication. Asian Journal of Mathematics, 14(3), 385-416. https://doi.org/10.4310/ajm.2010.v14.n3.a6

In [7] a non-commutative Iwasawa Main Conjecture for elliptic curves over Q has been formulated. In this note we show that it holds for all CM-elliptic curves E defined over Q. This was claimed in (loc. cit.) without proof, which we want to provide n... Read More about On the non-commutative Main Conjecture for elliptic curves with Complex Multiplication.