A reciprocity map and the two-variable p-adic L-function

  • Romyar T. Sharifi
  • Published 2009


For primes p ≥ 5, we propose a conjecture that relates the values of cup products in the Galois cohomology of the maximal unramified outside p extension of a cyclotomic field on cyclotomic p-units to the values of p-adic L-functions of cuspidal eigenforms that satisfy mod p congruences with Eisenstein series. Passing up the cyclotomic and Hida towers, we… (More)



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