most citedThe modular properties and the integral representations of the multiple elliptic gamma functions

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math.QA2003★ 16 cited

The modular properties and the integral representations of the multiple elliptic gamma functions

Atsushi Narukawa

We show the modular properties of the multiple 'elliptic' gamma functions, which are an extension of those of the theta function and the elliptic gamma function. The modular proper…