Please use this identifier to cite or link to this item: https://doi.org/10.1142/S1793042108001456
Title: Generalized mth order Jacobi theta functions and the Macdonald identities
Authors: Toh, P.C. 
Keywords: Determinants
Elliptic functions
Macdonald identities
Theta functions
Issue Date: Jun-2008
Citation: Toh, P.C. (2008-06). Generalized mth order Jacobi theta functions and the Macdonald identities. International Journal of Number Theory 4 (3) : 461-474. ScholarBank@NUS Repository. https://doi.org/10.1142/S1793042108001456
Abstract: We describe an m th order generalization of Jacobi's theta functions and use these functions to construct classes of theta function identities in multiple variables. These identities are equivalent to the Macdonald identities for the seven infinite families of irreducible affine root systems. They are also equivalent to some elliptic determinant evaluations proven recently by Rosengren and Schlosser. © 2008 World Scientific Publishing Company.
Source Title: International Journal of Number Theory
URI: http://scholarbank.nus.edu.sg/handle/10635/103332
ISSN: 17930421
DOI: 10.1142/S1793042108001456
Appears in Collections:Staff Publications

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