On sup-norms of cusp forms of powerful level

Abhishek Saha

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

2 Citations (Scopus)
297 Downloads (Pure)


Let f be an L^2-normalized Hecke--Maass cuspidal newform of level N and Laplace eigenvalue \lambda. It is shown that |f|_\infty 0. The exponent is further improved in the case when N is not divisible by "small squares". Our work extends and generalizes previously known results in the special case of N squarefree.
Original languageEnglish
Pages (from-to)3549-3573
Number of pages25
JournalJournal of the European Mathematical Society
Issue number11
Publication statusPublished - 3 Oct 2017


  • Maass form
  • Sup-norm
  • Fourier coefficients
  • Amplification


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