Norm bounds on Eisenstein series

DOI10.1142/S1793042124501021MaRDI QIDQ6591608

Alex Kontorovich, Christopher Lutsko, Dubi Kelmer

Publication date: 22 August 2024

Published in: (Search for Journal in Brave)

zbMATH Keywords

Eisenstein seriesEpstein zeta functionsup norms

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Cites Work

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• Bounds for eigenforms on arithmetic hyperbolic 3-manifolds
• Large values of eigenfunctions on arithmetic hyperbolic 3-manifolds
• On cusp forms for co-finite subgroups of PSL(2,\({\mathbb{R}})\)
• Upper bounds and asymptotics in a quantitative version of the Oppenheim conjecture
• On the wave equation on a compact Riemannian manifold without conjugate points
• The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I
• The behaviour of eigenstates of arithmetic hyperbolic manifolds
• \(L^ \infty\) norms of eigenfunctions of arithmetic surfaces
• \(L^ \infty\)-norms of eigenfunctions for arithmetic hyperbolic 3-manifolds
• Sup-norm and nodal domains of dihedral Maass forms
• Effective counting for discrete lattice orbits in the plane via Eisenstein series
• On sup-norm bounds. II: \(\mathrm{GL}(2)\) Eisenstein series
• Asymptotic formulae for point lattices of bounded determinant and subspaces of bounded height
• A note on the sup norm of Eisenstein series
• Bessel Series Expansions of the Epstein Zeta Function and the Functional Equation
• EPSTEIN ZETA-FUNCTIONS, SUBCONVEXITY, AND THE PURITY CONJECTURE

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