On the representation of integers by quadratic forms
Number Theory
2014-02-26 v2
Abstract
Let Q be a non-singular quadratic form with integer coefficients. When Q is indefinite we provide new upper bounds for the least non-trivial integral solution to the equation Q=0. When Q is positive definite we provide improved upper bounds for the least positive integer k such that the equation Q=k is insoluble in integers, despite being soluble modulo every prime power.
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Cite
@article{arxiv.math/0603358,
title = {On the representation of integers by quadratic forms},
author = {T. D. Browning and R. Dietmann},
journal= {arXiv preprint arXiv:math/0603358},
year = {2014}
}
Comments
33 pages