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Congruent elliptic curves and the $\tau $ -component in the Iwasawa main conjecture

Mathematical Proceedings of the Cambridge Philosophical Society
AbstractLet p be an odd prime, and suppose that $E_1$ and $E_2$ are two elliptic curves which are congruent modulo p. Fix an Artin representation $\tau\,{:}\,G_{F}\rightarrow \mathrm{GL}_2(\mathbb{C})$ over a totally real field F, induced from a Hecke character over a CM-extension $K/F$ .
Corpuz, Raiza, Delbourgo, Daniel
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STICKELBERGER SERIES AND IWASAWA MAIN CONJECTURE FOR FUNCTION FIELDS

2018
Let F be a global function ?eld in characteristic p>0. There exists many di?erent 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 ...
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On the anticyclotomic Iwasawa main conjecture for Hilbert modular forms of parallel weights

Annales Mathematiques Du Quebec, 2022
Haining Wang
exaly

Congruences of algebraic p-adic L-functions and the Main Conjecture of Iwasawa Theory

Journal of Number Theory, 2021
Byoung Du Kim
exaly

Torsions and the Iwasawa Main Conjecture

Universitext, 2023
Morishita Masanori
exaly

An Equivariant Main Conjecture in Iwasawa Theory and the Coates-Sinnott Conjecture

2012
Doctor of Philosophy (PhD)
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Generalised Iwasawa invariants and the growth of class numbers

Forum Mathematicum, 2021
Soren Kleine
exaly

A consequence of Greenberg's generalized conjecture on Iwasawa invariants of Zp-extensions

Journal of Number Theory, 2017
Takenori Kataoka
exaly