Teitelbaum's exceptional zero conjecture in the function field case

Details Teitelbaum's exceptional zero conjecture in the function field case Teitelbaum's exceptional zero conjecture in the function field case

2004-01-21

arxiv.org/abs/math/0401276v1

Mathematics

Number Theory

31 pages

Scientific paper

The exceptional zero conjecture relates the first derivative of the $p$-adic $L$-function of a rational elliptic curve with split multiplicative reduction at $p$ to its complex $L$-function. Teitelbaum formulated an analogue of Mazur and Tate's refined (multiplicative) version of this conjecture for elliptic curves over the rational function field $\FQ(T)$ with split multiplicative reduction at two places $\fp$ and $\infty$, avoiding the construction of a $\fp$-adic $L$-function. This article proves Teitelbaum's conjecture up to roots of unity by developing Darmon's theory of double integrals over arbitrary function fields. A function field version of Darmon's period conjecture is also obtained.

Affiliated with

Also associated with

No associations

Rating

Teitelbaum's exceptional zero conjecture in the function field case does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Teitelbaum's exceptional zero conjecture in the function field case, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Teitelbaum's exceptional zero conjecture in the function field case will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-641747