Dimension formulas for spaces of vector-valued Siegel cusp forms of degree two

Satoshi Wakatsuki

Type: Article

Publication Date: 2011-09-22

Citations: 25

DOI: https://doi.org/10.1016/j.jnt.2011.07.002

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Locations

Journal of Number Theory - View

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Works That Cite This (25)

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+	The dimensions of spaces of Siegel cusp forms of general degree	2018	Satoshi Wakatsuki
+	The dimensions of spaces of Siegel cusp forms of general degree	2016	Satoshi Wakatsuki
+ PDF Chat	On counting cuspidal automorphic representations for GSp(4)	2021	Manami Roy Ralf Schmidt Shaoyun Yi
+	Multiplicity formulas for discrete series representations in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:mi>Γ</mml:mi><mml:mo>\</mml:mo><mml:mrow><mml:mi mathvariant="normal">Sp</mml:mi></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="double-struck">R</mml:mi…	2013	Satoshi Wakatsuki
+ PDF Chat	Equidistribution theorems for holomorphic Siegel modular forms for $$GSp_4$$; Hecke fields and n-level density	2019	Henry H. Kim Satoshi Wakatsuki Takuya Yamauchi
+	Congruences modulo 2 for dimensions of spaces of cusp forms	2014	Satoshi Wakatsuki
+ PDF Chat	Stable trace formulas and discrete series multiplicities	2012	Steven Spallone
+ PDF Chat	Structures and Dimensions of Vector Valued Jacobi Forms of Degree Two	2015	Tomoyoshi Ibukiyama
+	AN EQUIDISTRIBUTION THEOREM FOR HOLOMORPHIC SIEGEL MODULAR FORMS FOR AND ITS APPLICATIONS	2018	Henry H. Kim Satoshi Wakatsuki Takuya Yamauchi
+	The General Noncompact Symmetric Space	2016	Audrey Terras

Works Cited by This (30)

Action	Title	Year	Authors
+	Analysis on Symmetric Cones	1994	Jacques Faraut Adam Korányi
+ PDF Chat	On maximal orders of division quaternion algebras over the rational number field with certain optimal embeddings	1982	Tomoyoshi Ibukiyama
+	On zeta functions of ternary zero forms	1982	Fumihiro Satō
+	An explicit formula for the dimension of spaces of Siegel modular forms of degree two	1974	Yasuo Morita
+ PDF Chat	Harmonic analysis on semisimple Lie groups	1970	Harish-chandra Harish-Chandra
+	�ber die Fixpunkte der Siegelschen Modulgruppe	1961	Erhard Gottschling
+	�ber die Fixpunktuntergruppen der Siegelschen Modulgruppe	1961	Erhard Gottschling
+ PDF Chat	The Dimension of Spaces of Automorphic Forms	1963	R. P. Langlands
+ PDF Chat	The dimension of the space of cusp forms on the Siegel upper half plane of degree two related to a quaternion unitary group	1981	Tsuneo Arakawa
+ PDF Chat	An explicit dimension formula for the spaces of generalized automorphic forms with respect to $\mathrm{Sp}\left( {2,\mathbf{Z}} \right)$	1983	Ryuji Tsushima