A vertical Sato-Tate law for \(\mathrm{GL}(4)\)
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Publication:6564136
DOI10.1007/S00013-024-01996-WMaRDI QIDQ6564136
Publication date: 28 June 2024
Published in: Archiv der Mathematik (Search for Journal in Brave)
Other groups and their modular and automorphic forms (several variables) (11F55) Fourier coefficients of automorphic forms (11F30) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)
Cites Work
- Weighted Sato-Tate vertical distribution of the Satake parameter of Maass forms on \(\mathrm{PGL}(N)\)
- Applications of analytic newvectors for \(\operatorname{GL}(N)\)
- Sato-Tate equidistribution for families of Hecke-Maass forms on \(\mathrm{SL}(n,\mathbb{R})/\mathrm{SO}(n)\)
- The second moment of \(\mathrm{GL} (4) \times \mathrm{GL} (2)\) \(L\)-functions at special points
- Applications of the Kuznetsov formula on \(\mathrm{GL}(3)\)
- The Relative Trace Formula in Analytic Number Theory
- An orthogonality relation for (with an appendix by Bingrong Huang)
- Average Bound Toward the Generalized Ramanujan Conjecture and Its Applications on Sato–Tate Laws for GL(n)
- Automorphic Forms and L-Functions for the GroupGL(n, R)
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