Data di Pubblicazione:
2018
Citazione:
STICKELBERGER SERIES AND IWASAWA MAIN CONJECTURE FOR FUNCTION FIELDS / E. Coscelli ; tutor: F. Andreatta ; co-tutor: A. Bandini ; coordinatore: V. Mastropietro. DIPARTIMENTO DI MATEMATICA "FEDERIGO ENRIQUES", 2018 Mar 15. 30. ciclo, Anno Accademico 2017. [10.13130/coscelli-edoardo_phd2018-03-15].
Abstract:
Let F be a global function field in characteristic p>0. There exists many different types of L-functions that can be associated to F, such as the Artin L-functions, the Goss Zeta function or the p-adic L-functions. In this work i have investigated the correlations between these analytic objects and the Stickelberger series, which is a formal power series whose coefficients lie in a suitable Galois algebra. In the second part of this work i have studied the Iwasawa extension generated by the p-torsion of a Hayes module and i have used the Stickelberger series to prove a "main conjecture" for the p-part of the class group.
Tipologia IRIS:
Tesi di dottorato
Keywords:
number theory; algebra; function fields; iwasawa theory; main conjecture; L functions; stickelberger series; Hayes module
Elenco autori:
E. Coscelli
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