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Explicit subconvexity for GL2\mathrm{GL}_2 and some applications

By Han Wu and Nickolas Andersen
We make the subconvex exponent for GL2\mathrm{GL}_2 cuspidal representation in the work of Michel \& Venkatesh explicit. The result depends on an effective dependence on the `fixed' GL2\mathrm{GL}_2 representation in our former work on the subconvex bounds for twists by Hecke characters, which in turn depends on the L4\mathrm{L}^4-norm of... Show more
March 19, 2019
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Explicit subconvexity for $\mathrm{GL}_2$ and some applications
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