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Special values of q-gamma products

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Abstract

We consider products of q-gamma functions with rational arguments, and prove several q-generalizations of recent works concerning products of gamma functions. In particular, we consider products indexed by Dirichlet characters, and provide several new values for infinite products in terms of \(e^{-\pi }\) and gamma functions.

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Acknowledgements

I can never say this enough—to Christophe Vignat, who’s mentored me from an ignorant high schooler to a slightly less ignorant college student—thank you, thank you, thank you! Additionally, I’d like to thank Karl Dilcher for first introducing me to this topic and very carefully reading the final draft of this manuscript, and the anonymous referee for their insightful remarks.

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  1. University of Maryland, College Park, MD, 20742, USA

    Tanay Wakhare

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  1. Tanay Wakhare
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Correspondence to Tanay Wakhare.

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Wakhare, T. Special values of q-gamma products. Res. number theory 4, 30 (2018). https://doi.org/10.1007/s40993-018-0123-0

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  • DOI: https://doi.org/10.1007/s40993-018-0123-0

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