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On derivatives of L-series, p-adic cohomology and ray class groups

Student thesis: Doctoral ThesisDoctor of Philosophy

We investigate the explicit Galois structure of ray class groups. We also study consequences of the structural results we obtain concerning the validity (or otherwise) of Leopoldt's Conjecture and the existence of families of congruence relations between the values of Dirichlet L-series at z = 1.
Original languageEnglish
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Award date2017

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