Tori in metaplectic covers of GL2 and applications to a formula of Loxton–Matthews

DOI10.1017/S030500410006607XzbMath0618.10028OpenAlexW2020093195MaRDI QIDQ3754677

Samuel James Patterson

Publication date: 1986

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s030500410006607x

zbMATH Keywords

Dirichlet seriesanalytic continuationfield extensionsquartic Gauss sumsmetaplectic coverresidue symbolsdistribution of the values of Gauss sums

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Trigonometric and exponential sums (general theory) (11L03) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gauss sums and elliptic functions. II: The quartic sum
• Metaplectic forms
• Gauss sums and the p-adic \(\Gamma\)-function

This page was built for publication: Tori in metaplectic covers of GL₂ and applications to a formula of Loxton–Matthews