×

Found 7 Documents (Results 1–7)

Periodicity criterion for continued fractions of key elements in hyperelliptic fields. (English. Russian original) Zbl 1517.11142

Dokl. Math. 106, Part Suppl. 2, S262-S269 (2022); translation from Chebyshevskiĭ Sb. 20, No. 1(69), 248-260 (2019).
MSC:  11R58 11G16 11J70
PDFBibTeX XMLCite
Full Text: DOI

On the periodicity problem for the continued fraction expansion of elements of hyperelliptic fields with fundamental \(S\)-units of degree at most 11. (English. Russian original) Zbl 1482.11096

Dokl. Math. 104, No. 2, 258-263 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 45-51 (2021).
MSC:  11J70 11R58 11R27
PDFBibTeX XMLCite
Full Text: DOI

On the finiteness of the number of elliptic fields with given degrees of \(S\)-units and periodic expansion of \( \sqrt f\). (English. Russian original) Zbl 1477.11187

Dokl. Math. 100, No. 2, 440-444 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 488, No. 3, 237-242 (2019).
PDFBibTeX XMLCite
Full Text: DOI

On the finiteness of hyperelliptic fields with special properties and periodic expansion of \(\sqrt{f}\). (English. Russian original) Zbl 1428.11131

Dokl. Math. 98, No. 3, 641-645 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 6, 603-608 (2018).
MSC:  11J70 11R58
PDFBibTeX XMLCite
Full Text: DOI

On the periodicity of continued fractions in hyperelliptic fields. (English. Russian original) Zbl 1418.11109

Dokl. Math. 95, No. 3, 254-258 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 474, No. 5, 540-544 (2017).
MSC:  11J70 11A55 11R27
PDFBibTeX XMLCite
Full Text: DOI

\(S\)-units in hyperelliptic fields and periodicity of continued fractions. (English. Russian original) Zbl 1392.11035

Dokl. Math. 94, No. 2, 532-537 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 470, No. 3, 260-265 (2016).
MSC:  11G16 11A55 11R27
PDFBibTeX XMLCite
Full Text: DOI

Filter Results by …

all top 5

Year of Publication

Main Field