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

Edgar Assing*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

1 Citation (Scopus)
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Abstract

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

Original languageEnglish
Pages (from-to)971–1006
Number of pages36
JournalForum Mathematicum
Volume31
Issue number4
Early online date7 May 2019
DOIs
Publication statusPublished - 1 Jul 2019

Keywords

  • amplification
  • Eisenstein series
  • number fields
  • Sup-norm

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