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arXiv:1510.04800 [math.NT]AbstractReferencesReviewsResources

On the Integral Representation of Binary Quadratic Forms and the Artin Condition

Chang Lv

Published 2015-10-16Version 1

For diophantine equations of the form ax^2+bxy+cy^2+g=0 over Z whose coefficients satisfy some hypotheses, we show that the Artin condition is the only obstruction to the local-global principle for integral solutions of the equation. Some concrete examples are presented.

Comments: 11 pages, git commit 20150803a/ab55d8d. arXiv admin note: substantial text overlap with arXiv:1502.07457
Categories: math.NT
Subjects: 11D09, 11E12, 11D57, 11D57, 14L30, 11R37
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