Uniform bounds on sup-norms of holomorphic forms of real weight

DOI10.1142/S1793042116500718zbMath1362.11051arXiv1406.2918OpenAlexW3102992822MaRDI QIDQ2810667

Raphael S. Steiner

Publication date: 3 June 2016

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.2918

zbMATH Keywords

modular formscusp formssup-norms

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Discontinuous groups and automorphic forms (11F99) Holomorphic modular forms of integral weight (11F11)

Related Items (5)

Analytic properties of spherical cusp forms on \(\mathrm{GL}(n)\) ⋮ Jacobi forms, Saito-Kurokawa lifts, their pullbacks and sup-norms on average ⋮ Supnorm of modular forms of half-integral weight in the weight aspect ⋮ Estimates of automorphic cusp forms over quaternion algebras ⋮ Heat kernel approach for sup-norm bounds for cusp forms of integral and half-integral weight

Cites Work

• On \(L^{\infty }\) norms of holomorphic cusp forms
• On the Sup-Norm of Maass Cusp Forms of Large Level: II
• Uniform Sup-Norm Bounds on Average for Cusp Forms of Higher Weights
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