On a sufficient condition for the existence of admissible \(p\)-adic measures
type: Item
instance of: scholarly article
title: On a sufficient condition for the existence of admissible \(p\)-adic measures
zbMATH Open document ID: 1078.11038
published in: Journal de Théorie des Nombres de Bordeaux
publication date: 2005-06-30T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/230641
review text: The author gives a new sufficient condition for the existence of admissible \(p\)-adic measures obtained from sequences of distributions \((\Phi_j)_{i\geq 0}\) with values in spaces of modular forms (Theorem~1). The condition is expressed in terms of congruences between Fourier coefficients of modular forms \(\Phi_j\). The author verifies these congruences in the classical cases of Rankin-Selberg convolutions and triple product \(L\)-functions (sections 9 and 10).
reviewed by: Andrzej Dąbrowski
Mathematics Subject Classification ID: 11F85
Mathematics Subject Classification ID: 11F33
Mathematics Subject Classification ID: 11F30
zbMATH DE Number: 2184625
zbMATH Keywords: Atkin operator
zbMATH Keywords: \(p\)-adic \(L\) function
zbMATH Keywords: modular forms
author: A. A. Panchishkin
MaRDI profile type: Publication
OpenAlex ID: W2323988126
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DOI: 10.5802/JTNB.427
description: scientific article; zbMATH DE number 2184625