V. P. Platonov, G. V. Fedorov, “On the periodicity of continued fractions in hyperelliptic fields”, Doklady Akademii Nauk, 2017, Volume 474, Number 5, Pages 540

This publication is cited in the following 17 articles:

G.V. Fedorov, “On the sequences of polynomials $f$ with a periodic continued fraction expansion $\sqrt{f}$ ”, Moscow University Mathematics Bulletin, 79:2 (2024), 98–102
V. Berthé, K. Dajani, C. Kalle, E. Krawczyk, H. Kuru, A. Thevis, Association for Women in Mathematics Series, 32, Women in Numbers Europe IV, 2024, 111
V. P. Platonov, G. V. Fedorov, “On the classification problem for polynomials $f$ with a periodic continued fraction expansion of $\sqrt{f}$ in hyperelliptic fields”, Izv. Math., 85:5 (2021), 972–1007
G. V. Fedorov, “On $S$ -units for valuations of the second degree in hyperelliptic fields”, Izv. Math., 84:2 (2020), 392–435
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
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
V. P. Platonov, M. M. Petrunin, Yu. N. Shteinikov, “Periodicheskie elementy $\sqrt{f}$ v ellipticheskikh polyakh s polem konstant nulevoi kharakteristiki”, Chebyshevskii sb., 21:1 (2020), 273–296
G. V. Fedorov, “O semeistvakh giperellipticheskikh krivykh nad polem ratsionalnykh chisel, yakobiany kotorykh soderzhat tochki krucheniya dannykh poryadkov”, Chebyshevskii sb., 21:1 (2020), 322–340
G. V. Fedorov, “On the period length of a functional continued fraction over a number field”, Dokl. Math., 102:3 (2020), 513–517
V. P. Platonov, G. V. Fedorov, “The criterion of periodicity of continued fractions of key elements in hyperelliptic fields”, Doklady Mathematics (Supplementary issues), 106:2 (2022), 262–269
G. V. Fedorov, “Ob ogranichennosti dlin periodov nepreryvnykh drobei klyuchevykh elementov giperellipticheskikh polei nad polem ratsionalnykh chisel”, Chebyshevskii sb., 20:4 (2019), 357–370
V. P. Platonov, G. V. Fedorov, “On $S$ -units for linear valuations and the periodicity of continued fractions of generalized type in hyperelliptic fields”, Dokl. Math., 99:3 (2019), 277–281
V. P. Platonov, G. V. Fedorov, “On the problem of periodicity of continued fractions in hyperelliptic fields”, Sb. Math., 209:4 (2018), 519–559
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
G. V. Fedorov, “Periodicheskie nepreryvnye drobi i $S$ -edinitsy s normirovaniyami vtoroi stepeni v giperellipticheskikh polyakh”, Chebyshevskii sb., 19:3 (2018), 282–297
V. P. Platonov, M. M. Petrunin, V. S. Zhgoon, Yu. N. Shteinikov, “On the Finiteness of Hyperelliptic Fields with Special Properties and Periodic Expansion of $\sqrt f$ ”, Dokl. Math., 98:3 (2018), 641–645
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