Jacobi symbols on class groups of quadratic forms

Let $H$ be the class group of binary quadratic forms of discriminant $d \lt 0$. For certain $d$, we construct an epimorphism $J \colon H^2\rightarrow \{\pm 1\}$, where $J$ is defined in terms of a Jacobi symbol. We apply $J$, for example, to extend a resu

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Publication Details

Journal
Acta Arithmetica
Published
2025-01-01
DOI
https://doi.org/10.4064/aa240620-11-3
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
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article

Jacobi symbols on class groups of quadratic forms

Ron Evans, Mark Van Veen
Acta Arithmetica
Advanced Algebra and Geometry
article

Jacobi symbols on class groups of quadratic forms

Ron Evans, Mark Van Veen
article en

Abstract

Let $H$ be the class group of binary quadratic forms of discriminant $d \lt 0$. For certain $d$, we construct an epimorphism $J \colon H^2\rightarrow \{\pm 1\}$, where $J$ is defined in terms of a Jacobi symbol. We apply $J$, for example, to extend a resu

Acta ArithmeticaVol. 219(3)
University of California San Diego (US), Cardiff and Vale College (GB)
Reduced inequalities
Openalex Percentile: Top 84%
Advanced Algebra and Geometry
DOIOpen Access PDFOpenAlex
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Jacobi symbols on class groups of quadratic forms — Ron Evans, Mark Van Veen · Acta Arithmetica (2025) | TGRS Research Map | TGRS