Abstract
We construct Rankin–Cohen type differential operators on the space of Hilbert–Jacobi forms. This generalizes a result of Choie and Eholzer (J Number Theory, 68:160–177, 1998) in the case of Jacobi forms to Hilbert–Jacobi forms.
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Acknowledgements
Most of the work was carried out when the first author was a graduate student at National Institute of Science Education and Research (NISER), Bhubaneswar. She thanks NISER for all the support. The second author is partly supported by SERB MATRICS Project MTR/2017/000228. The authors would like to thank the referee for the helpful corrections which improved the paper.
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Kumari, M., Sahu, B. (2020). Rankin–Cohen Type Operators for Hilbert–Jacobi Forms. In: Ramakrishnan, B., Heim, B., Sahu, B. (eds) Modular Forms and Related Topics in Number Theory. ICNT 2018. Springer Proceedings in Mathematics & Statistics, vol 340. Springer, Singapore. https://doi.org/10.1007/978-981-15-8719-1_10
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DOI: https://doi.org/10.1007/978-981-15-8719-1_10
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