Content area

Abstract

We prove a formula for the average value of L-functions associated to a set of quadratic function fields ramified at one finite place and ∞. We will review the history of this problem, including the connection to class number averages, present the numerical motivation for the formula, and prove the main theorem using the geometric interpretation of function fields.

Details

Title
Averaging quadratic L-series over function fields
Author
Prime, Russell
Year
2009
Publisher
ProQuest Dissertations Publishing
ISBN
978-1-109-27987-0
Source type
Dissertation or Thesis
Language of publication
English
ProQuest document ID
304866808
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.