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Automorphic Forms pp 179–191Cite as

Bessel Periods of Theta Lifts to GSp(1, 1) and Central Values of Some L-Functions of Convolution Type

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 115))

Abstract

This article overviews our results presented in the international workshop on mathematics held at GUtech and Sultan Qaboos University in Oman. The main result is an explicit relation between a Bessel period of some theta lift to the indefinite symplectic group GSp(1, 1) and the central value of an L-function of convolution type for the lift (cf. Theorem 3.2).

Partially supported by Grand-in-Aid for Young Scientists (B) 21740025, JSPS.

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Acknowledgements

The author is very grateful to Berhard Heim for his invitation to the conference. His thank is also due to the referee for helpful comments.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Kumamoto University, Kurokami, Kumamoto, 860-8555, Japan

    Hiro-aki Narita

Authors
  1. Hiro-aki Narita
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Correspondence to Hiro-aki Narita .

Editor information

Editors and Affiliations

  1. Department of Mathematics and Science, German University of Technology in Oman, Muscat, Oman

    Bernhard Heim

  2. Department of Mathematics and Statistics, Sultan Qaboos University, Muscat, Oman

    Mehiddin Al-Baali

  3. Department of Mathematics Graduate School of Science, Osaka University, Osaka, Japan

    Tomoyoshi Ibukiyama

  4. Department of Mathematics and Science, German University of Technology in Oman, Muscat, Oman

    Florian Rupp

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© 2014 Springer International Publishing Switzerland

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Narita, Ha. (2014). Bessel Periods of Theta Lifts to GSp(1, 1) and Central Values of Some L-Functions of Convolution Type. In: Heim, B., Al-Baali, M., Ibukiyama, T., Rupp, F. (eds) Automorphic Forms. Springer Proceedings in Mathematics & Statistics, vol 115. Springer, Cham. https://doi.org/10.1007/978-3-319-11352-4_14

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