On the basis problem for Siegel-Hilbert modular forms

Jinghua Kuang

Type: Article

Publication Date: 1991-01-01

Citations: 2

DOI: https://doi.org/10.1090/s0273-0979-1991-16025-8

Abstract

In this paper, we mainly announce the result: every Siegel-Hilbert cuspform of weight divisible by 4h and of square-free level relative to certain congruence subgroups is a linear combination of theta series.

Locations

Project Euclid (Cornell University) - View - PDF
Bulletin of the American Mathematical Society - View - PDF

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Works Cited by This (13)

Action	Title	Year	Authors
+	A Course in Arithmetic	1973	Jean Pierre Serre
+	The basis problem for modular forms on Γ₀(𝑁)	1989	Hiroaki Hijikata Arnold Pizer Thomas R. Shemanske
+	Engendrement par des s�ries th�ta de certains espaces de formes modulaires	1978	J-L. Waldspurger
+ PDF Chat	Sur la formule de Siegel dans la théorie des groupes classiques	1965	André Weil
+ PDF Chat	Theory of spherical functions on reductive algebraic groups over p-adic fields	1963	Ichirō Satake
+	Introductory Lectures on Siegel Modular Forms	1990	Helmut Klingen
+ PDF Chat	Arithmetic Subgroups of Algebraic Groups	1962	Armand Borel Harish-chandra Harish-Chandra
+	Arithmetic Properties of Fourier-Jacobi Expansions of Automorphic Forms in Several Variables	1981	Paul Garrett
+	On the Fourier coefficients of modular forms of several variables	2002	Goro Shimura
+	The Basis Problem for Modular Forms and the Traces of the Hecke Operators	1973	Martin Eichler