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arXiv · 1710.00363

On sup-norm bounds part II: $GL(2)$ Eisenstein series

Edgar Assing
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Abstract

In this paper we consider the sup-norm problem in the context of analytic Eisenstein series for $GL(2)$ over number fields. We prove a hybrid bound which is sharper than the corresponding bound for Maa{\ss} forms. Our results generalise those of Huang and Xu where the case of Eisenstein series of square-free levels over the base field $\mathbb{Q}$ had been considered.

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Edgar Assing. 2017-10-01. On sup-norm bounds part II: $GL(2)$ Eisenstein series. https://doi.org/10.1515/forum-2018-0014

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