• Tags
  • #arithmetic-geometry/Langlands
• Refs:
  • Course notes on arithmetic of L functions: https://www.math.columbia.edu/~phlee/CourseNotes/L-functions.pdf#page=1 #resources/course-notes
  • Course notes on special values: https://www.math.columbia.edu/~phlee/CourseNotes/Nonvanishing.pdf#page=2 #resources/course-notes
  • Course notes on automorphic forms: https://www.math.columbia.edu/~phlee/CourseNotes/Automorphic.pdf#page=1 #resources/course-notes
  • Graduate seminar notes: What is an L function? #resources/summaries
  • P. Deligne, Valeurs de fonctions L et p ́eriodes d’int ́egrales. In: A. Borel and W. Casselman (editors), Automorphic Forms, Representations, and L-Functions
• Links:
  • Dirichlet’s theorem on primes in arithmetic progressions
  • Types of L functions:
    • Dedekind zeta function
    • Riemann zeta function
    • p-adic zeta function
    • motivic zeta function
    • Artin L function
    • automorphic L function
    • L function of a modular form
    • Artin L function of a Galois representation
    • L function of an elliptic curve
    • Hasse-Weil L function

L function

Automorphy

See automorphic form and automorphic representation:

Characters

Orthogonality of Characters

# Conductors