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Higher rank elliptic sieve via CM endomorphisms

Au-Yeung, Hang Lok Edison
arXiv (All) · Papers
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11g0514h52number-theory
A theorem of Landau and Ramanujan states that almost all integers are not sums of two squares (when ordered by their absolute value). Equivalently, almost all integers are not norms from the Gaussian rationals $\mathbb{Q}(i)$. In this paper, we prove a version of this norm result for elliptic curves
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