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Dokl. Akad. Nauk, 2017, Volume 474, Number 5, Pages 540–544 (Mi dan26107)  

This article is cited in 7 scientific papers (total in 8 papers)

On the periodicity of continued fractions in hyperelliptic fields

V. P. Platonov, G. V. Fedorov

Scientific Research Institute for System Analysis of the Russian Academy of Sciences, Moscow

Funding Agency Grant Number
Russian Science Foundation 16-11-10111
Работа выполнена при поддержке Российского научного фонда (грант 16-11-10111).


DOI: https://doi.org/10.7868/S0869565217050036


English version:
Doklady Mathematics, 2017, 95:3, 254–258

Bibliographic databases:

Received: 28.02.2017

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Yu. V. Kuznetsov, Yu. N. Shteinikov, “O nekotorykh svoistvakh nepreryvnykh periodicheskikh drobei s nebolshoi dlinoi perioda, svyazannykh s giperellipticheskimi polyami i $S$-edinitsami”, Chebyshevskii sb., 18:4 (2017), 261–268  mathnet  crossref
    2. V. P. Platonov, G. V. Fedorov, “On the problem of periodicity of continued fractions in hyperelliptic fields”, Sb. Math., 209:4 (2018), 519–559  mathnet  crossref  crossref  adsnasa  isi  elib
    3. V. P. Platonov, M. M. Petrunin, “Groups of $S$-units and the problem of periodicity of continued fractions in hyperelliptic fields”, Proc. Steklov Inst. Math., 302 (2018), 336–357  mathnet  crossref  crossref  isi  elib
    4. G. V. Fedorov, “Periodicheskie nepreryvnye drobi i $S$-edinitsy s normirovaniyami vtoroi stepeni v giperellipticheskikh polyakh”, Chebyshevskii sb., 19:3 (2018), 282–297  mathnet  crossref  elib
    5. V. P. Platonov, G. V. Fedorov, “Kriterii periodichnosti nepreryvnykh drobei klyuchevykh elementov giperellipticheskikh polei”, Chebyshevskii sb., 20:1 (2019), 248–260  mathnet  crossref
    6. G. V. Fedorov, “On $S$-units for valuations of the second degree in hyperelliptic fields”, Izv. Math., 84:2 (2020), 392–435  mathnet  crossref  crossref  isi  elib
    7. S. I. Adian, V. M. Buchstaber, E. I. Zelmanov, S. V. Kislyakov, V. V. Kozlov, Yu. V. Matiyasevich, S. P. Novikov, D. O. Orlov, A. N. Parshin, V. L. Popov, D. V. Treschev, “Vladimir Petrovich Platonov (on his 80th birthday)”, Russian Math. Surveys, 75:2 (2020), 387–391  mathnet  crossref  crossref  isi
    8. V. P. Platonov, G. V. Fedorov, “On the problem of classification of periodic continued fractions in hyperelliptic fields”, Russian Math. Surveys, 75:4 (2020), 785–787  mathnet  crossref  crossref  isi
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