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• W2100059641 startingPage "105" @default.
• W2100059641 abstract "This series of papers presents and rigorously analyzes a probabilistic algorithm for finding small prime factors of an integer. The algorithm uses the Jacobian varieties of curves of genus 2 in the same way that the elliptic curve method uses elliptic curves. This second paper in the series is concerned with the order of the group of rational points on the Jacobian of a curve of genus 2 defined over a finite field. We prove a result on the distribution of these orders. 2000 Mathematical Subject Classification: 11Y05, 11G10, 11M20, 11N25." @default.
• W2100059641 created "2016-06-24" @default.
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• W2100059641 date "2002-01-01" @default.
• W2100059641 modified "2023-10-18" @default.
• W2100059641 title "A Hyperelliptic Smoothness Test, II" @default.
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• W2100059641 doi "https://doi.org/10.1112/plms/84.1.105" @default.
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