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arxiv: 1810.10479 · v2 · pith:W3XQSGQCnew · submitted 2018-10-24 · 🧮 math.NT

Weyl bound for rm GL(2) in t-aspect via a trivial delta method

classification 🧮 math.NT
keywords aspectboundweylarbitrarycuspdeltalevelmethod
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We use a `trivial' delta method to prove the Weyl bound in $t$-aspect for the $\rm L$-function of a holomorphic or a Hecke-Maass cusp form of arbitrary level and nebentypus. In particular, this extends the results of Meurman and Jutila for the $t$-aspect Weyl bound, and the recent result of Booker, Milinovich and Ng to Hecke cusp forms of arbitrary level and nebentypus.

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