On sup-norm bounds part I: Ramified Maaß newforms over number fields
Edgar Assing
Universität Bonn, Germany
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Abstract
We prove new upper bounds for the sup-norm of Hecke Maaß newforms on over a number field. Our newforms are more general than those considered in a recent paper by Blomer, Harcos, Maga, and Milićević: we do not require square-free level. Furthermore, we allow for non-trivial central character. Over the rationals we recover the best bounds obtained by Saha.
Cite this article
Edgar Assing, On sup-norm bounds part I: Ramified Maaß newforms over number fields. J. Eur. Math. Soc. 26 (2024), no. 5, pp. 1559–1609
DOI 10.4171/JEMS/1444