Local conditions for global representations of quadratic forms

Mathematics – Number Theory

Scientific paper

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9 pages, v2: corrected typos, added a corollary using results of Kitaoka. v3: added results about representations with congrue

Scientific paper

We show that the theorem of Ellenberg and Venkatesh on representation of
integral quadratic forms by integral positive definite quadratic forms is valid
under weaker conditions on the represented form.

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