Abstract
Abstract
For any fixed nonzero integer h, we show that a positive proportion of integral binary quartic forms F do locally everywhere represent h, but do not globally represent h. We order classes of integral binary quartic forms by the two generators of their ring of
${\rm GL}_{2}({\mathbb Z})$
-invariants, classically denoted by I and J.
Publisher
Cambridge University Press (CUP)
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