Mazur’s main conjecture at Eisenstein primes
Mathematische Annalen, 2023 Let \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$E/\mathbb {Q}$$\end ...
Francesc Castella +2 more
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On the non-abelian Brumer–Stark conjecture and the equivariant Iwasawa main conjecture [PDF]
Mathematische Zeitschrift, 2015 We show that for an odd prime p, the p-primary parts of refinements of the (imprimitive) non-abelian Brumer and Brumer–Stark conjectures are implied by the equivariant Iwasawa main conjecture (EIMC) for totally real fields.
Henri Johnston, A. Nickel
semanticscholar +6 more sources
On the Iwasawa main conjecture for generalized Heegner classes in a quaternionic setting [PDF]
Forum mathematicum, 2023 We prove one divisibility relation of the anticyclotomic Iwasawa Main Conjecture for a higher weight ordinary modular form f and an imaginary quadratic field satisfying a “relaxed” Heegner hypothesis.
Maria Rosaria Pati
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The Chevalley–Herbrand formula and the real abelian Main Conjecture (New criterion using capitulation of the class group) [PDF]
Journal of Number Theory, 2022 The Main Theorem for abelian fields (often called Main Conjecture despite proofs in most cases) has a long history which has found a solution by means of"elementary arithmetic", as detailed in Washington's book from Thaine's method having led to ...
Georges Gras
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Iwasawa–Greenberg main conjecture for nonordinary modular forms and Eisenstein congruences on GU(3,1) [PDF]
Forum of Mathematics, Sigma, 2021 In this paper, we prove one divisibility of the Iwasawa–Greenberg main conjecture for the Rankin–Selberg product of a weight two cusp form and an ordinary complex multiplication form of higher weight, using congruences between Klingen Eisenstein series ...
Francesc Castella, Zheng Liu, X. Wan
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On the “main conjecture” of equivariant Iwasawa theory [PDF]
Journal of the American Mathematical Society, 2011 We prove the “main conjecture” of equivariant Iwasawa theory when μ =
Ritter, Jürgen, Weiss, Alfred
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A proof of Perrin-Riou’s Heegner point main conjecture [PDF]
Algebra & Number Theory, 2019 Let $E/\mathbf{Q}$ be an elliptic curve of conductor $N$, let $p$ be a prime of a good ordinary reduction for $E$, and let $K$ be an imaginary quadratic field satisfying the Heegner hypothesis relative to $N$.
Ashay A. Burungale +2 more
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Stickelberger series and Main Conjecture for function fields [PDF]
Publicacions Matemàtiques, 2021 to appear in Publicacions Matem ...
andrea bandini, edoardo coscelli
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On the anticyclotomic Iwasawa main conjecture for Hilbert modular forms of parallel weights [PDF]
Annales mathématiques du Québec, 2019 Dans cet article, nous étudions la théorie d’Iwasawa pour les formes modulaires de Hilbert sur l’extension anticyclotomique d’un champ CM. Nous prouvons un résultat de divisibilité unilatérale vers la conjecture principale d’Iwasawa dans ce cadre.
Haining Wang
semanticscholar +1 more source
Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three [PDF]
, 2015 We prove the main conjecture in Vinogradov's Mean Value Theorem for degrees higher than three.
J. Bourgain, C. Demeter, L. Guth
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