Cubic symplectic theta-functions

DOI10.1007/BF01099351zbMath0673.10025MaRDI QIDQ1120618

Nikolai V. Proskurin

Publication date: 1987

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/67903

zbMATH Keywords

symplectic groupsEisenstein seriesC)/Sp(4)existence of two cubic theta-functionsmetaplectic formsSp(4

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27) Other groups and their modular and automorphic forms (several variables) (11F55) Holomorphic modular forms of integral weight (11F11)

Cites Work

• Metaplectic forms
• Automorphic functions and the Bass-Milnor-Serre homomorphism. II
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• Construction of integral modular forms of half-integral dimension with \(\vartheta\)-multipliers in one and two variables
• On Dirichlet series associated with cubic Gauss sums.

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