Limiting distributions of theta series on Siegel half-spaces

DOI10.1090/S1061-0022-03-00803-3zbMath1046.11025OpenAlexW1623771368MaRDI QIDQ4463743

Friedrich Götze, Mikhaĭl Iosifovich Gordin

Publication date: 8 June 2004

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-03-00803-3

zbMATH Keywords

convergence in distributionunipotent flowsTheta seriesSiegel's half-space

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27) Partially hyperbolic systems and dominated splittings (37D30)

Related Items (2)

Limit theorems for higher rank actions on Heisenberg nilmanifolds ⋮ Equidistribution for higher-rank abelian actions on Heisenberg nilmanifolds

Cites Work

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• The uniform central limit theorem for theta sums
• Orbits of horospherical flows
• The Weil representation, Maslov index and theta series
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• On the central limit theorem for theta series
• On Raghunathan's measure conjecture
• Mixing, counting, and equidistribution in Lie groups
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Limit theorems for theta sums
• Asymptotic behavior of periodic orbits of the horocycle flow and eisenstein series
• Asymptotic expansions of finite theta series
• On the Graded Ring of Theta-Constants (II)
• Ergodicity of Flows on Homogeneous Spaces

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