Affiliation:
1. School of Mathematical Sciences, Queen Mary University of London, Mile End Road, Stepney, LondonE1 4NS, United Kingdom
Abstract
AbstractWe make the polynomial dependence on the fixed representation π in our previous subconvex bound of {L(\frac{1}{2},\pi\otimes\chi)} for {\mathrm{GL}_{2}\times\mathrm{GL}_{1}} explicit, especially in terms of the usual conductor {\mathbf{C}(\pi_{\mathrm{fin}})}.
There is no clue that the original choice, due to Michel and Venkatesh, of the test function at the infinite places should be the optimal one.
Hence we also investigate a possible variant of such local choices in some special situations.
Subject
Applied Mathematics,General Mathematics
Cited by
1 articles.
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