On sup-norms of cusp forms of powerful level

DOI10.4171/JEMS/746zbMath1429.11089arXiv1404.3179MaRDI QIDQ1676093

Abhishek Saha

Publication date: 3 November 2017

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.3179

zbMATH Keywords

sup-normFourier coefficientsamplificationMaass form

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30)

Related Items (7)

Bounds for eigenforms on arithmetic hyperbolic 3-manifolds ⋮ Bounds on sup-norms of half-integral weight modular forms ⋮ Supnorm of modular forms of half-integral weight in the weight aspect ⋮ The amplification method in the context of \(\mathrm{GL}(n)\) automorphic forms ⋮ Special value formula for the twisted triple product \(L\)-function and an application to the restricted \(L^2\)-norm problem ⋮ Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces ⋮ An explicit conductor formula for \(\operatorname{GL}_n\times\operatorname{GL}_1\)

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