Gardado en:
| Main Authors: | , |
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| Formato: | Preprint |
| Publicado: |
2019
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| Subjects: | |
| Acceso en liña: | https://arxiv.org/abs/1908.10346 |
| Tags: |
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Table of Contents:
- We prove a Lindelöf-on-average upper bound for the fourth moment of Dirichlet $L$-functions of conductor $q$ along a coset of the subgroup of characters modulo $d$ when $q^*|d$, where $q^*$ is the least positive integer such that $q^2|(q^*)^3$. As a consequence, we finish the previous work of the authors and establish a Weyl-strength subconvex bound for all Dirichlet $L$-functions with no restrictions on the conductor.