This article 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.
p-adic L-functions and Euler systems : a tale in two trilogies / M. Bertolini, F. Castella, H. Darmon, S. Dasgupta, K. Prasanna, V. Rotger - In: Automorphic Forms and Galois Representations / [a cura di] F. Diamond, P.L. Kassaei, M. Kim. - [s.l] : Cambridge University Press, 2014. - ISBN 9781107691926. - pp. 52-101 (( convegno Durham Symposium on Galois representations and L-functions.
p-adic L-functions and Euler systems : a tale in two trilogies
M. Bertolini;
2014
Abstract
This article 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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