Exceptional sets for spinor regular ternary quadratic forms
A. G. Earnest
TL;DR
This paper analyzes the set of positive integers that are locally but not globally represented by 29 specific spinor regular ternary quadratic forms, highlighting exceptions to their global representability.
Contribution
It provides a detailed analysis of the exceptional integers for each of the 29 spinor regular forms that are not globally regular.
Findings
Identified the exceptional sets for each form.
Characterized the local-global discrepancy in representation.
Enhanced understanding of spinor regular forms' representability.
Abstract
The goal of this note is to provide an analysis of the positive integers that are represented everywhere locally, but not globally, by each of the 29 spinor regular positive definite integral ternary quadratic forms that are not regular.
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Taxonomy
TopicsAnalytic Number Theory Research · Algebraic Geometry and Number Theory · Finite Group Theory Research