A note on Maass forms of icosahedral type

DOI10.1007/s00209-018-2157-3zbMath1446.11079arXiv1712.06876OpenAlexW2963164075WikidataQ129080604 ScholiaQ129080604MaRDI QIDQ2312839

Andrew R. Booker

Publication date: 18 July 2019

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.06876

zbMATH Keywords

Fourier coefficientsChebotarev density theoremHecke-Maass newforms

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30) Galois representations (11F80)

Cites Work

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• Modularity of the Rankin-Selberg \(L\)-series, and multiplicity one for \(\mathrm{SL}(2)\)
• Cuspidality of symmetric powers with applications.
• Functorial products for \(\text{GL}_2\times \text{GL}_3\) and the symmetric cube for \(\text{GL}_2\).
• Recovering Cusp Forms on 𝐺𝐿(2) from Symmetric Cubes
• Icosahedral Fibres of the Symmetric Cube and Algebraicity
• A comparison of automorphic and Artin L-series of GL(2)-type agreeing at degree one primes
• A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• Remarks on the symmetric powers of cusp forms on GL(2)

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