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For questions involving the concept of convexity

5 votes
1 answer
670 views

Subconvexity bound for Hecke $L$-functions in the $s$-aspect

I am looking for a reference for upper bounds for $\alpha$ in the convexity estimate $$L(s,\chi)\ll_{\epsilon,K,\chi}|\Im(s)|^{\alpha+\epsilon}, \qquad\frac{1}{2}<\Re(s)\leq 1,$$ for all $\epsilon>0$. …
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