Abstract
We compute the second moment of a certain family of Rankin–Selberg L-functions L(f × g, 1/2) where f and g are Hecke–Maass cusp forms on GL(n). Our bound is as strong as the Lindelöf hypothesis on average, and recovers individually the convexity bound. This result is new even in the classical case n = 2.
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The author was supported by the Volkswagen Foundation and a Starting Grant of the European Research Council.
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Blomer, V. Period Integrals and Rankin–Selberg L-functions on GL(n). Geom. Funct. Anal. 22, 608–620 (2012). https://doi.org/10.1007/s00039-012-0166-7
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DOI: https://doi.org/10.1007/s00039-012-0166-7