P-adic L-functions and Congruences
Mazur and Swinnerton-Dyer  have shown how to pass from a TD-eigenfunction on (ℚ/ℤ)p,Δ to a p-adic distribution on ℤ p,Δ * . Applying this procedure to the universal modular symbol on a modular curve, X, Mazur  defines a p-adic L-function LP (X0(N), χ, s) associated to an Eisenstein prime P for Г0(N), N prime.
KeywordsEisenstein Series Cusp Form Finite Order Open Subgroup Dirichlet Character
Unable to display preview. Download preview PDF.