Forum Mathematicum ( IF 0.733 ) Pub Date : 2020-07-16 , DOI: 10.1515/forum-2019-0074
Han Wu

We make the polynomial dependence on the fixed representation π in our previous subconvex bound of $L⁢(12,π⊗χ)$ for $GL2×GL1$ explicit, especially in terms of the usual conductor $𝐂⁢(πfin)$. 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.

GL2×GL1的类似于Burgess的子凸边界

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