Geodesic
An explicit hybrid estimate for $L(1/2+it,\chi )$
Ghaith A. Hiary1
1Department of Mathematics The Ohio State University 231 West 18th Ave. Columbus, OH 43210, U.S.A.
Acta Arithmetica, Tome 176 (2016) no. 3, pp. 211-239

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DOI

An explicit hybrid estimate for $L(1/2+it,\chi )$ is derived, where $\chi $ is a Dirichlet character modulo $q$. The estimate applies when $t$ is bounded away from zero, and is most effective when $q$ is powerfull, yielding an explicit Weyl bound in this case. The estimate takes a particularly simple form if $q$ is a sixth power. Several hybrid lemmas of van der Corput–Weyl type are presented.
DOI : 10.4064/aa8433-7-2016
Keywords: explicit hybrid estimate chi derived where chi dirichlet character modulo estimate applies bounded away zero effective powerfull yielding explicit weyl bound estimate takes particularly simple form sixth power several hybrid lemmas van der corput weyl type presented

Ghaith A. Hiary  1

1 Department of Mathematics The Ohio State University 231 West 18th Ave. Columbus, OH 43210, U.S.A. 
Ghaith A. Hiary. An explicit hybrid estimate for $L(1/2+it,\chi )$. Acta Arithmetica, Tome 176 (2016) no. 3, pp. 211-239. doi: 10.4064/aa8433-7-2016
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