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On Jacobi forms, and explicit evaluations of some trigonometric sums

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Abstract

We prove a generalized distribution identity for the powers of some Jacobi forms, with applications to the theory of trigonometric sums.

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Acknowledgements

The authors would like to thank the referee for helpful comments and suggestions.

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Authors and Affiliations

  1. LaMME, Université d’Evry/Univ. Paris-Saclay, 23 Bd. De France, 91037, Evry Cedex, France

    Abdelmejid Bayad

  2. School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai, People’s Republic of China

    Mounir Hajli

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  1. Abdelmejid Bayad
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  2. Mounir Hajli
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Correspondence to Mounir Hajli.

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Bayad, A., Hajli, M. On Jacobi forms, and explicit evaluations of some trigonometric sums. Ramanujan J 60, 27–57 (2023). https://doi.org/10.1007/s11139-022-00670-5

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  • DOI: https://doi.org/10.1007/s11139-022-00670-5

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