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Multi-dimensional theta constant identities

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Publication:1568968
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DOI10.1007/BF02921712zbMath0970.11016OpenAlexW2086847069MaRDI QIDQ1568968

Yaacov Kopeliovich

Publication date: 22 June 2000

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02921712


zbMATH Keywords

identitiestheta functionstheta constantsRamanujan's modular equations


Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27)


Related Items (4)

Short eigenvectors and multidimensional theta functions ⋮ Higher-dimensional 3-adic CM construction ⋮ Differential forms on modular curves \(\mathbb{H}/\Gamma (k)\) ⋮ THETA CONSTANT IDENTITIES AT PERIODS OF COVERINGS OF DEGREE 3



Cites Work

  • New theta constant identities
  • Tata lectures on theta. III
  • 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
  • Theta functions on Riemann surfaces
  • On the dimension of the vector space C[θm4]
  • New Theta Constant Identities II


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