CHARACTERIZING ADELIC HILBERT MODULAR CUSP FORMS BY COEFFICIENT SIZE

Benjamin Linowitz

Type: Article

Publication Date: 2014-01-01

Citations: 7

DOI: https://doi.org/10.2206/kyushujm.68.105

Abstract

Associated with an adelic Hilbert modular form is a sequence of ‘Fourier coefficients’ which uniquely determine the form. In this paper we characterize adelic Hilbert modular cusp forms by the size of their Fourier coefficients. This answers in the affirmative a question posed by Winfried Kohnen.

Locations

Kyushu Journal of Mathematics - View - PDF

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+	ON THE FOURIER COEFFICIENTS OF SIEGEL MODULAR FORMS	2016	Siegfried Böcherer Winfried Kohnen
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Works Cited by This (5)

Action	Title	Year	Authors
+ PDF Chat	On certain generalized modular forms	2010	Winfried Kohnen
+	Newform theory for Hilbert Eisenstein series	2012	Timothy W. Atwill Benjamin Linowitz
+	A characterization of degree two Siegel cusp forms by the growth of their Fourier coefficients	2012	Winfried Kohnen Yves Martin
+	The special values of the zeta functions associated with Hilbert modular forms	1978	Goro Shimura
+	On -Adic Representations for Totally Real Fields	1986	Andrew Wiles