Theta functions with harmonic coefficients over number fields

DOI10.1006/jnth.2001.2758zbMath1075.11033OpenAlexW2131496905MaRDI QIDQ696931

Olav K. Richter

Publication date: 12 September 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2001.2758

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (2)

Monogenic modular forms in two and several real and complex vector variables ⋮ Differential operators on Hilbert modular forms

Cites Work

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• On theta functions associated to indefinite quadratic forms
• The behaviour of theta series of genus n for indefinite quadratic forms by modular substitutions
• The Kubota symbol for \(\mathrm{Sp}(2n,\mathbb Q(i))\)
• On modular forms of half integral weight
• Die Wirkung der Modulsubstitutionen auf mehrfache Thetareihen zu quadratischen Formen ungerader Variablenzahl
• BEHAVIOR OF THETA SERIES OF DEGREE $ N$ UNDER MODULAR SUBSTITUTIONS
• On theta functions of real algebraic number fields
• Theta functions of quadratic forms over imaginary quadratic fields
• The Kubota symbol for the symplectic group over an imaginary quadratic number field.
• Theta functions of indefinite quadratic forms over real number fields
• Theta series for indefinite quadratic forms over real number fields

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