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- W2950838386 abstract "Let $f(x)$ be a square free quartic polynomial defined over a quadratic field $K$ such that its leading coefficient is a square. If the continued fraction expansion of $displaystyle sqrt{f(x)}$ is periodic, then its period $n$ lies in the set [{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,22,26,30,34}.] We write explicitly all such polynomials for which the period $n$ occurs over $K$ but not over $Q$ and $displaystyle nnotin{ 13,15,17}$. Moreover we give necessary and sufficient conditions for the existence of such continued fraction expansions with period $13, 15$ or $17$ over $K$." @default.
- W2950838386 created "2019-06-27" @default.
- W2950838386 creator A5052438341 @default.
- W2950838386 date "2014-11-22" @default.
- W2950838386 modified "2023-09-27" @default.
- W2950838386 title "Periodic continued fractions and elliptic curves over quadratic fields" @default.
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- W2950838386 hasPublicationYear "2014" @default.
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