Category:Zeta and L-functions

Zeta functions and L-functions express important relations between the geometry of Riemann surfaces, number theory and dynamical systems. Zeta functions, and their generalizations such as the Selberg class S, are conjectured to have various important properties, including generalizations of the Riemann hypothesis and various relationships with automorphic forms as well as to the representations of groups. The pursuit of the relationships comprises the Langlands program.