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Let be an -normalized Hecke–Maass cuspidal newform of level and Laplace eigenvalue . It is shown that for any . The exponent is further improved in the case when is not divisible by "small squares". Our work extends and generalizes previously known results in the special case of squarefree.
Cite this article
Abhishek Saha, On sup-norms of cusp forms of powerful level. J. Eur. Math. Soc. 19 (2017), no. 11, pp. 3549–3573DOI 10.4171/JEMS/746