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P-adic L-functions and Congruences

  • Glenn Stevens
Part of the Progress in Mathematics book series (PM, volume 20)

Abstract

Mazur and Swinnerton-Dyer [30] 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 [26] defines a p-adic L-function LP (X0(N), χ, s) associated to an Eisenstein prime P for Г0(N), N prime.

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Copyright information

© Birkhäuser Boston 1982

Authors and Affiliations

  • Glenn Stevens
    • 1
  1. 1.Department of MathematicsRutgers UniversityNew BrunswickUSA

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