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L-Functions and Automorphic Forms pp 265–273Cite as

Restriction of Hecke Eigenforms to Horocycles

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Part of the book series: Contributions in Mathematical and Computational Sciences ((CMCS,volume 10))

Abstract

We prove a sharp upper bound on the L 2-norm of Hecke eigenforms restricted to a horocycle, as the weight tends to infinity.

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Acknowledgements

Kannan Soundararajan is supported in part by a grant from the National Science Foundation, and a Simons Investigator award from the Simons Foundation.

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Authors and Affiliations

  1. Department of Mathematics, Stanford University, Stanford, CA, 94305, USA

    Ho Chung Siu & Kannan Soundararajan

Authors
  1. Ho Chung Siu
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  2. Kannan Soundararajan
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Corresponding author

Correspondence to Kannan Soundararajan .

Editor information

Editors and Affiliations

  1. Fachbereich Mathematik, Technische Universität Darmstadt, Darmstadt, Germany

    Jan Hendrik Bruinier

  2. Mathematisches Institut, Universität Heidelberg, Heidelberg, Germany

    Winfried Kohnen

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Siu, H.C., Soundararajan, K. (2017). Restriction of Hecke Eigenforms to Horocycles. In: Bruinier, J., Kohnen, W. (eds) L-Functions and Automorphic Forms. Contributions in Mathematical and Computational Sciences, vol 10. Springer, Cham. https://doi.org/10.1007/978-3-319-69712-3_15

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