Subconvex equidistribution of cusp forms: reduction to Eisenstein observables

DOI10.1215/00127094-2019-0005zbMath1428.11093arXiv1702.02908OpenAlexW3103070621MaRDI QIDQ2320373

Paul D. Nelson

Publication date: 22 August 2019

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.02908

zbMATH Keywords

Eisenstein series\(L\)-functionsautomorphic formssubconvexity

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51)

Related Items (10)

Zeros of Rankin-Selberg \(L\)-functions at the edge of the critical strip ⋮ Quantum variance for dihedral Maass forms ⋮ The Weyl bound for triple product \(L\)-functions ⋮ Bounds for twisted symmetric square L-functions via half-integral weight periods ⋮ Uniform subconvexity and symmetry breaking reciprocity ⋮ AUTOMORPHIC SL ₂ ‐PERIODS AND THE SUBCONVEXITY PROBLEM FOR GL ₂ × GL ₃ ⋮ The spectral decomposition of \(|\theta |^2\) ⋮ Tate \(\gamma \)-factor, Weil index, and the metaplectic \(\widetilde{\gamma} \)-factor ⋮ Mass equidistribution on the torus in the depth aspect ⋮ Pullbacks of Saito-Kurokawa lifts and a central value formula for degree 6 \(L\)-series

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