Plus/minus \(p\)-adic \(L\)-functions for Hilbert modular forms
type: Item
instance of: scholarly article
title: Plus/minus \(p\)-adic \(L\)-functions for Hilbert modular forms
zbMATH Open document ID: 1302.11088
author: Jeehoon Park
author: Shahab Shahabi
published in: Journal of Algebra
publication date: 2012-02-10T00:00:00Z
review text: The main idea, which is not that different from Pollack's idea [\textit{R. Pollack}, Duke Math. J. 118, No. 3, 523--558 (2003; Zbl 1074.11061)], is to analyse the growth conditions of the reviewer's \(p\)-adic \(L\)-functions for Hilbert modular forms for different choices at \(p\)-Frobenius roots [Ann. Inst. Fourier 44, No. 4, 1025--1041 (1994; Zbl 0808.11035)]. Let us note that \textit{B. Zhang} [J. Number Theory 131, No. 3, 419--439 (2011; Zbl 1219.11135)] also used the \(p\)-adic \(L\)-function constructed by the reviewer to give plus/minus \(p\)-adic \(L\)-functions for Hilbert modular forms.
reviewed by: Andrzej Dąbrowski
Mathematics Subject Classification ID: 11R23
Mathematics Subject Classification ID: 11F67
Mathematics Subject Classification ID: 11F41
Mathematics Subject Classification ID: 11S40
zbMATH DE Number: 6005104
zbMATH Keywords: Hilbert modular forms
zbMATH Keywords: \(p\)-adic \(L\)-functions at supersingular primes
zbMATH Keywords: Selmar groups
zbMATH Keywords: elliptic curves
zbMATH Keywords: plus/minus Iwasawa main conjecture
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2011.04.033
OpenAlex ID: W2084769494
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DOI: 10.1016/J.JALGEBRA.2011.04.033
description: scientific article; zbMATH DE number 6005104