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Moments for L-Functions for GL r×GL r-1

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Contributions in Analytic and Algebraic Number Theory

Part of the book series: Springer Proceedings in Mathematics ((PROM,volume 9))

Abstract

We establish a spectral identity for moments of Rankin–Selberg L-functions on GL r ×GL r − 1 over arbitrary number fields, generalizing our previous results for r = 2.

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Acknowledgements

The authors were partially supported by NSF grant DMS-0652488.

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Authors and Affiliations

  1. University of Minnesota, 127 Vincent Hall, Church St. SE, Minneapolis, MN, 55455, USA

    Adrian Diaconu & Paul Garrett

  2. Columbia University, 422 Mathematics Building, New York, NY, 10027, USA

    Dorian Goldfeld

Authors
  1. Adrian Diaconu
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  2. Paul Garrett
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  3. Dorian Goldfeld
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Correspondence to Adrian Diaconu .

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Editors and Affiliations

  1. , Mathematisches Institut, Universität Göttingen, Bunsenstr. 3-5, Göttingen, 37073, Germany

    Valentin Blomer

  2. Mathematisches Institut, Universität Göttingen, Göttingen, 37073, Germany

    Preda Mihăilescu

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Diaconu, A., Garrett, P., Goldfeld, D. (2012). Moments for L-Functions for GL r×GL r-1 . In: Blomer, V., Mihăilescu, P. (eds) Contributions in Analytic and Algebraic Number Theory. Springer Proceedings in Mathematics, vol 9. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1219-9_8

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