On special values of theta functions of genus two

DOI10.5802/aif.1580zbMath0974.11027OpenAlexW2023508715MaRDI QIDQ1360853

Eyal Z. Goren, Ehud de Shalit

Publication date: 22 July 1997

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1997__47_3_775_0

zbMATH Keywords

unitstheta functionscomplex multiplication

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Complex multiplication and moduli of abelian varieties (11G15) Cubic and quartic extensions (11R16)

Related Items (3)

Class invariants for quartic CM fields ⋮ Algebraic theta functions and the \(p\)-adic interpolation of Eisenstein-Kronecker numbers ⋮ Computing Igusa class polynomials

Cites Work

• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• Theta functions with complex multiplication
• On certain reciprocity-laws for theta functions and modular forms
• Some applications of Kronecker's limit formulas
• Arithmetic of alternating forms and quaternion hermitian forms
• On supersingular curves and Abelian varieties.
• On Siegel Modular Forms of Genus Two
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