Central derivatives of L-functions in Hida families

Details Central derivatives of L-functions in Hida families Central derivatives of L-functions in Hida families

2012-02-28

arxiv.org/abs/1202.6360v1

Math. Ann. 339, No. 4 (2007), 803-818

Mathematics

Number Theory

Scientific paper

We prove a result of the following type: given a Hida family of modular forms, if there exists a weight two form in the family whose L-function vanishes to exact order one at s=1, then all but finitely many weight two forms in the family enjoy this same property. The analogous result for order of vanishing zero is also true, and is an easy consequence of the existence of the Mazur-Kitagawa two-variable p-adic L-function.

Affiliated with

Also associated with

No associations

Rating

Central derivatives of L-functions in Hida families 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 Central derivatives of L-functions in Hida families, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Central derivatives of L-functions in Hida families will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-522696