On Riemann type relations for theta functions on bounded symmetric domains of type \(I\)

DOI10.1016/j.laa.2023.05.003arXiv2301.09243MaRDI QIDQ6161133

Atsuhira Nagano

Publication date: 26 June 2023

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.09243

zbMATH Keywords

theta functionssymmetric domains

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Theta functions and abelian varieties (14K25) Theta series; Weil representation; theta correspondences (11F27)

Cites Work

• Unnamed Item
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• The arithmetic-geometric mean of Gauss
• The equations defining abelian varieties and modular functions
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• Graded rings of Hermitian modular forms of degree 2
• 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
• Thomae type formula for K3 surfaces given by double covers of the projective plane branching along six lines
• THE MONODROMY OF THE PERIOD MAP OF A 4-PARAMETER FAMILY OF K3 SURFACES AND THE HYPERGEOMETRIC FUNCTION OF TYPE (3, 6)
• ALGEBRAIC RELATIONS AMONG SOME THETA FUNCTIONS ON THE BOUNDED SYMMETRIC DOMAIN OF TYPE Ir,r
• Modular Forms and Projective Invariants
• On Kummer‐like surfaces attached to singularity and modular forms

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