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Our L-function tutorial goes here. Tutorial Outline!

Introduction


Definition (Amy and Cassie)
  - Dirichlet L-series and zeta functions (Amy)
  - for elliptic curves (Cassie)
  - for modular forms (Cassie)


Basic Functions (Amy)
  - not everything, but hit the highlights


Euler Product (Lola)
  - translating between Euler product and Dirichlet series


Functional Equation


Taylor Series


Zeros and Poles


Analytic Rank


Precision Issues


Advanced Topics:
  - creating a new L-series class


(Finding L-series from incomplete info)

Tutorial Outline!

Introduction

Definition (Amy and Cassie)

  • - Dirichlet L-series and zeta functions (Amy) - for elliptic curves (Cassie) - for modular forms (Cassie)

Basic Functions (Amy)

  • - not everything, but hit the highlights

Euler Product (Lola)

  • - translating between Euler product and Dirichlet series

Functional Equation

Taylor Series

Zeros and Poles

Analytic Rank

Precision Issues

Advanced Topics:

  • - creating a new L-series class

(Finding L-series from incomplete info)

days33/lfunction/tutorial (last edited 2012-01-10 20:38:59 by amy)