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arXiv · 1104.0609

On a correlation between ranks of elliptic curves and periods of continued fractions

Igor Nikolaev
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Abstract

It is proved that the rank of elliptic curves with complex multiplication introduced by B. H. Gross is one less an arithmetic complexity of the corresponding noncommutative tori with real multiplication.

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Igor Nikolaev. 2011-04-04. On a correlation between ranks of elliptic curves and periods of continued fractions. https://arxiv.org/abs/1104.0609

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