19 citations · 21 across the 3 of their papers we have counts for
3 papers
math.NT2008★ 2 cited
Reciprocity laws à la Iwasawa-Wiles
Francesc Bars, Ignazio Longhi
This paper is a brief survey on explicit reciprocity laws of Artin-Hasse-Iwasawa-Wiles type for the Kummer pairing on local fields.
math.NT2008★ 19 cited
Torsion points on elliptic curves over function fields and a theorem of Igusa
A. Bandini, I. Longhi, S. Vigni
If F is a global function field of characteristic p>3, we employ Tate's theory of analytic uniformization to give an alternative proof of a theorem of Igusa describing the image of…
math.NT2004
Teitelbaum's exceptional zero conjecture in the function field case
Hilmar Hauer, Ignazio Longhi
The exceptional zero conjecture relates the first derivative of the -adic -function of a rational elliptic curve with split multiplicative reduction at to its complex …