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P-adic L-functions and Euler systems: A tale in two trilogies

  • Author(s): Bertolini, M;
  • Castella, F;
  • Darmon, H;
  • Dasgupta, S;
  • Prasanna, K;
  • Rotger, V
  • et al.
Abstract

This chapter surveys six different special value formulae for p-adic L-functions, stressing their common features and their eventual arithmetic applications via Kolyvagin’s theory of “Euler systems”, in the spirit of Coates-Wiles and Kato-Perrin-Riou.

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