Strong exponent bounds for the local Rankin-Selberg convolution
نویسندگان
چکیده مقاله:
Let $F$ be a non-Archimedean locally compact field. Let $sigma$ and $tau$ be finite-dimensional representations of the Weil-Deligne group of $F$. We give strong upper and lower bounds for the Artin and Swan exponents of $sigmaotimestau$ in terms of those of $sigma$ and $tau$. We give a different lower bound in terms of $sigmaotimeschecksigma$ and $tauotimeschecktau$. Using the Langlands correspondence, we obtain the bounds for Rankin-Selberg exponents.
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عنوان ژورنال
دوره 43 شماره Issue 4 (Special Issue)
صفحات 143- 167
تاریخ انتشار 2017-08-30
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