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On the restriction map for Jacobi forms

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Abstract

In this article we give a description of the kernel of the restriction map for Jacobi forms of index 2 and obtain the injectivity of D 0⊕D 2 on the space of Jacobi forms of weight 2 and index 2. We also obtain certain generalization of these results on certain subspace of Jacobi forms of square-free index m.

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Acknowledgements

Our heartfelt thanks to Professor S. Böcherer for providing many valuable suggestions and also for sharing his views on this work. We also thank the referee for his/her meticulous reading of the manuscript and suggesting corrections which improved the presentation.

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Author notes

  1. K. D. Shankhadhar

    Present address: The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai, 600 113, India

Authors and Affiliations

  1. Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad, 211 019, India

    B. Ramakrishnan & K. D. Shankhadhar

Authors
  1. B. Ramakrishnan
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  2. K. D. Shankhadhar
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Corresponding author

Correspondence to B. Ramakrishnan.

Additional information

Communicated by Jens Funke.

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Ramakrishnan, B., Shankhadhar, K.D. On the restriction map for Jacobi forms. Abh. Math. Semin. Univ. Hambg. 83, 163–174 (2013). https://doi.org/10.1007/s12188-013-0081-3

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  • DOI: https://doi.org/10.1007/s12188-013-0081-3

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