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Derivatives of Siegel modular forms and exponential functions

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Publication:4804403
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DOI10.1070/IM2001v065n04ABEH000345zbMath1021.11013OpenAlexW2006796395MaRDI QIDQ4804403

Wadim Zudilin, Daniel Bertrand

Publication date: 28 April 2003

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2001v065n04abeh000345

zbMATH Keywords

transcendence degreeSiegel modular formsdifferential fieldexponentials of polynomialsderivatives of a modular functionextension of Mahler's theorem


Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Irrationality; linear independence over a field (11J72)


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Modular Ax-Lindemann-Weierstrass with derivatives, Higher Ramanujan Equations and Periods of Abelian Varieties, \(o\)-minimality and the André-Oort conjecture for \(\mathbb{C}^{n}\), Differential nilradicals of rings associated with Riemann-Schwarz triangular groups



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