THETA CONSTANT IDENTITIES AT PERIODS OF COVERINGS OF DEGREE 3

DOI10.1142/S1793042108001663zbMath1160.14019OpenAlexW2080828788MaRDI QIDQ5506307

Yaacov Kopeliovich

Publication date: 28 January 2009

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

Full work available at URL: https://doi.org/10.1142/s1793042108001663

zbMATH Keywords

Riemann surfaceperiod matricestheta constants with rational characteristics

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Theta functions and curves; Schottky problem (14H42)

Related Items (2)

Thomae formula for general cyclic covers of \({{\mathbb {CP}}^1}\) ⋮ Thomae formula for abelian covers of ℂℙ¹

Cites Work

• New theta constant identities
• Fermionic fields on \({\mathbb{Z}}_ N\)-curves
• On the Thomae formula for \(\mathbb{Z}_N\) curves
• Short eigenvectors and multidimensional theta functions
• Multi-dimensional theta constant identities
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura

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