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arXiv · 2103.08268

Density of the union of positive diagonal binary quadratic forms

Yijie Diao
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Abstract

Let $X$ be a sufficiently large positive integer. We prove that one may choose a subset $S$ of primes with cardinality $O(\log X)$, such that a positive proportion of integers less than $X$ can be represented by $x^2 + p y^2$ for at least one of $p \in S$.

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Yijie Diao. 2021-03-15. Density of the union of positive diagonal binary quadratic forms. https://doi.org/10.4064/aa210830-24-11

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