Groups of S-Units and the Problem of Periodicity of Continued Fractions in Hyperelliptic Fields
Author:
Publisher
Pleiades Publishing Ltd
Subject
Mathematics (miscellaneous)
Link
http://link.springer.com/content/pdf/10.1134/S0081543818060184.pdf
Reference15 articles.
1. N. H. Abel, “Ueber die Integration der Differential-Formel ρ√dx R, wenn R und ρ ganze Functionen sind,” J. Reine Angew. Math. 1, 185–221 (1826).
2. E. Artin, “Quadratische Körper im Gebiete der höheren Kongruenzen. I: Arithmetischer Teil,” Math. Z. 19, 153–206 (1924).
3. V. V. Benyash-Krivets and V. P. Platonov, “Groups of S-units in hyperelliptic fields and continued fractions,” Sb. Math. 200 (11), 1587–1615 (2009) [transl. from Mat. Sb. 200 (11), 15–44 (2009)].
4. M. M. Petrunin, “S-units and periodicity of square root in hyperelliptic fields,” Dokl. Math. 95 (3), 222–225 (2017) [transl. from Dokl. Akad. Nauk 474 (2), 155–158 (2017)].
5. V. P. Platonov, “Number-theoretic properties of hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves over the rational number field,” Russ. Math. Surv. 69 (1), 1–34 (2014) [transl. from Usp. Mat. Nauk 69 (1), 3–38 (2014)].
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2. New Results on the Periodicity Problem for Continued Fractions of Elements of Hyperelliptic Fields;Proceedings of the Steklov Institute of Mathematics;2023-03
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