On the transcendence degree of the differential field generated by Siegel modular forms | NOVA. The University of Newcastle's Digital Repository

Home

Description	Size	Format
Publisher version (open access)	189 KB	Adobe Acrobat PDF	View/Open

Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/803687

Title: On the transcendence degree of the differential field generated by Siegel modular forms
Author/Creator: Bertrand, D.; Zudilin, W.
Description: It is a classical fact that the elliptic modular function λ=(ϑ₁₀/ϑ₀₀)⁴ satisfies an algebraic differential equation of order 3 (this goes back to Jacobi’s Fundamenta nova), and none of lower order (cf. [Ra], [M]). In this paper, we show how these properties generalize to Siegel modular functions of arbitrary degree.
Relation: Journal fuer die Reine und Angewandte Mathematik: Crelle's journal Vol. 554, p. 47-68
Publisher Link: http://dx.doi.org/10.1515/crll.2003.008
Date: 2003
Publisher: De Gruyter
Keyword(s): transcendence degree; algebraic differential equation; Siegel modular functions
Resource Type: journal article
Rights: The final publication is available at www.degruyter.com
Identifier: http://hdl.handle.net/1959.13/803687
Identifier: ISSN:0075-4102

26 Visitors

33 Hits

NOVA. The University of Newcastle's Digital Repository