Results 81 to 90 of about 114 (105)

Iwasawa Main conjecture and Euler systems

The aim of my thesis work is to prove the existence of an Euler system related to an L-function attached to the cyclotomic units, stating and proving the Main Conjecture of Iwasawa theory for cyclotomic fields. It is the deepest tool developed in cyclotomic fields theory: indeed, it can be used to obtain relevant properties, e.g.
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Maximal functions: Poisson integrals on symmetric spaces. [PDF]

Proc Natl Acad Sci U S A, 1976
Stein EM.
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On the anticyclotomic Iwasawa main conjecture for modular forms

On the anticyclotomic Iwasawa main conjecture for modular forms
We generalize the work of Bertolini and Darmon on the anticyclotomic main conjecture for elliptic curves to modular forms of higher weight Online publication November 27 ...
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Euler Systems and Iwasawa theory: a proof of the main conjecture

L'obiettivo di questo elaborato è quello di enunciare e dimostrare uno dei risultati principali riguardanti la teoria dei campi ciclotomici: la congettura principale della teoria di Iwasawa. La dimostrazione riportata, dovuta a Rubin, si basa sui sistemi di Eulero, strumenti fondamentali in teoria dei numeri, la cui importanza è dovuta ad una stretta
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Torsions and the Iwasawa Main Conjecture

Universitext, 2012
In this chapter we take up the Iwasawa main conjecture which asserts that the Iwasawa polynomial coincides essentially with the Kubota–Leopoldt p-adic analytic zeta function. According to the analogy between the Iwasawa polynomial and the Alexander polynomial in Chap.
Masanori Morishita, Morishita Masanori
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Non-communtative Iwasawa main conjecture

International Journal of Number Theory, 2020
We formulate and prove an analogue of the non-commutative Iwasawa Main Conjecture for [Formula: see text]-adic representations of the Galois group of a function field of characteristic [Formula: see text]. We also prove a functional equation for the resulting non-commutative [Formula: see text]-functions.
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On the Iwasawa main conjecture for the double product

Transactions of the American Mathematical Society
Let σ \sigma and
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On main conjectures in non-commutative Iwasawa theory and related conjectures

Journal für die reine und angewandte Mathematik (Crelles Journal), 2013
Abstract The main conjecture of non-commutative Iwasawa theory is shown to be equivalent, modulo an appropriate torsion hypothesis, to a family of main conjectures over cyclotomic ℤ p -extensions together with suitable compatibility relations between the associated abelian p-adic L-functions.
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Base Change and Iwasawa Main Conjectures for GL2

International Mathematics Research Notices
Abstract Let $E$ be an elliptic curve defined over ${\mathbb{Q}}$ of conductor $N$, $p$ an odd prime of good ordinary reduction such that $E[p]$ is an irreducible Galois module, and $K$ an imaginary quadratic field with all primes dividing $Np$ split. We prove Iwasawa main conjectures for the ${\mathbb{Z}}_{p}$-cyclotomic and ${\mathbb{Z}
Ashay Burungale, Francesc Castella, Christopher Skinner   +2 more
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