On the representation of integers by quadratic forms
Timothy Browning
Dietmann, Rainer
Let n ≥ 4 and let Q ∈ [X1, ..., Xn] be a non-singular quadratic form. When Q is indefinite we provide new upper bounds for the least non-trivial integral solution to the equation Q = 0, and when Q is positive definite we provide improved upper bounds for the greatest positive integer k for which the equation Q = k is insoluble in integers, despite being soluble modulo every prime power.
John Wiley and Sons Ltd
2008
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http://purl.org/coar/resource_type/c_6501
https://research-explorer.app.ist.ac.at/record/224
Browning TD, Dietmann R. On the representation of integers by quadratic forms. <i>Proceedings of the London Mathematical Society</i>. 2008;96(2):389-416. doi:<a href="https://doi.org/10.1112/plms/pdm032">10.1112/plms/pdm032</a>
info:eu-repo/semantics/altIdentifier/doi/10.1112/plms/pdm032
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