The distribution of certain special values of the cubic Legendre symbol

DOI10.1017/S0017089500006169zbMath0585.10019OpenAlexW2150453321MaRDI QIDQ3710588

Samuel James Patterson

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1017/s0017089500006169

zbMATH Keywords

Eisenstein seriesDirichlet seriesautomorphic functionsthree-dimensional hyperbolic spacecubic residue symbolcubic Legendre symbol

Mathematics Subject Classification ID

Quadratic extensions (11R11) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Cubic and quartic extensions (11R16)

Cites Work

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• Gauss sums and elliptic functions. II: The quartic sum
• Metaplectic forms
• On a functional property of power residue symbols
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• A cubic analogue of the theta series.

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