93 citations · 96 across the 5 of their papers we have counts for
5 papers
Cup products in the etale cohomology of number fields
Frauke M. Bleher, Ted Chinburg, Ralph Greenberg +3
This paper concerns cup product pairings in étale cohomology related to work of M. Kim and of W. McCallum and R. Sharifi. We will show that by considering Ext groups rather than co…
Estimates on Eisenstein distributions for reciprocals of p-adic L-functions: the case of irregular primes
Stephen Gelbart, Ralph Greenberg, Stephen D. Miller +1
We consider the p-adic distributions derived from Eisenstein series in [GMPS], whose Mellin transforms are reciprocals of the Kubota-Leopoldt p-adic L-function. These distributions…
On elliptic curves with an isogeny of degree 7
R. Greenberg, K. Rubin, A. Silverberg +1
We show that if is an elliptic curve over with a -rational isogeny of degree 7, then the image of the 7-adic Galois representation attached to is a…
On the Iwasawa invariants of elliptic curves
Ralph Greenberg, Vinayak Vatsal
Let p be an odd prime. Suppose that E is a modular elliptic curve/Q with good ordinary reduction at p. Let Q_{oo} denote the cyclotomic Z_p-extension of Q. It is conjectured that S…
Iwasawa theory for elliptic curves
Ralph Greenberg
We study this subject by first proving that the p-primary subgroup of the classical Selmer group for an elliptic curve with good, ordinary reduction at a prime p has a very simple…