User:RobHar/Sandbox2

Beginnings of an L-functions in number theory box

• add section on "p=adic aspects": p-adic L-functions, main conjecture of iwasawa theory, p-adic BSD, p-adic class number formula

• Riemann zeta function
• Dirichlet L-functions
• Hecke L-functions
• Automorphic L-functions

• Artin L-functions
• Dedekind zeta functions
• Hurwitz zeta function?

• Hasse-Weil L-function
• Motivic L-functions

• Selberg class
• Multiple zeta functions

• Birch and Swinnerton-Dyer conjecture
• Deligne conjecture on special values of L-functions
• Bloch-Kato conjecture
• Beilinson conjecture

• Riemann hypothesis
• Generalized Riemann hypothesis
• Ramanujan-Petersson conjecture
• add more

• Langlands conjecture on zeta functions of Shimura varieties

• Analytic class number formulae
• Weil conjectures