Local densities of diagonal integral ternary quadratic forms at odd primes

DOI10.1142/S1793042120400357zbMath1481.11040arXiv2002.04140OpenAlexW3134684772WikidataQ114071957 ScholiaQ114071957MaRDI QIDQ4991693

Edna Jones

Publication date: 3 June 2021

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.04140

zbMATH Keywords

quadratic Gauss sumslocal densitiesternary quadratic forms

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Exponential sums (11T23) Gauss and Kloosterman sums; generalizations (11L05) Representation problems (11D85) Quadratic forms over local rings and fields (11E08)

Uses Software

• QFLib

Cites Work

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• On representation of an integer as the sum of three squares and ternary quadratic forms with the discriminants \(p^2\), \(16p^2\).
• An explicit formula for local densities of quadratic forms
• Local densities and explicit bounds for representability by a quadratic form
• Über die analytische Theorie der quadratischen Formen
• Regular and semi-regular positive ternary quadratic forms
• Quadratic Forms and Automorphic Forms

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