On Fourier coefficients of Maass cusp forms in 3-dimensional hyperbolic space

DOI10.1007/BF02830875zbMath0798.11013OpenAlexW2076916675WikidataQ60015857 ScholiaQ60015857MaRDI QIDQ1322362

V. Pereyra

Publication date: 1 November 1994

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02830875

zbMATH Keywords

Hilbert modular groupestimate of Fourier coefficientsMaaß wave forms

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (2)

Spectral large sieve inequalities for Hecke congruence subgroups of \(\mathrm{SL}(2,\mathbb{Z}[i)\)] ⋮ Koecher-Maass series associated to Hermitian modular forms of degree 2 and a characterization of cusp forms by the Hecke bound

Cites Work

• Unnamed Item
• The arithmetic and geometry of some hyperbolic three manifolds
• Kloosterman sums for Clifford algebras and a lower bound for the positive eigenvalues of the Laplacian for congruence subgroups acting on hyperbolic spaces
• Über die Darstellung der ganzen Spitzenformen zu den Idealstufen der Hilbertschen Modulgruppe und die Abschätzung ihrer Fourierkoeffizienten
• PETERSSON'S CONJECTURE FOR CUSP FORMS OF WEIGHT ZERO AND LINNIK'S CONJECTURE. SUMS OF KLOOSTERMAN SUMS

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