On the nonexistence of automorphic eigenfunctions of exponential growth on \(\mathrm{SL}(3,\mathbb Z)\setminus \mathrm{SL}(3,\mathbb R)/\mathrm{SO}(3,\mathbb R)\)

DOI10.1007/s40993-019-0168-8zbMath1472.11128arXiv1811.02027OpenAlexW3033431167WikidataQ115600365 ScholiaQ115600365MaRDI QIDQ2336054

Stephen D. Miller, Tien Trinh

Publication date: 18 November 2019

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.02027

zbMATH Keywords

automorphic formsexponential growthmoderate growthWhittaker functionsMiatello-Wallach conjecture

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items (1)

A note on mock automorphic forms and the BPS index

Uses Software

• DLMF

Cites Work

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• The multiplicity one theorem for \(\mathrm{GL}_n\)
• The reciprocal of the beta function and \(GL(n,R)\) Whittaker functions
• Asymptotic expansions of matrix coefficients of Whittaker vectors at irregular singularities
• NIST digital library of mathematical functions
• Unramified Whittaker functions for \(GL(3,\mathbb{R})\)
• Zur Theorie der Modulformen \(n\)-ten Grades. I
• Stationary Phase Integrals, Quantum Toda Lattices, Flag Manifolds and the Mirror Conjecture

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