Geodesic
Vladimir Petrovich Platonov (on his 80th birthday)
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 75 (2020) no. 2, pp. 387-391 
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). Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 75 (2020) no. 2, pp. 387-391. http://geodesic.mathdoc.fr/item/RM_2020_75_2_a7/
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     title = {Vladimir {Petrovich} {Platonov} (on his 80th birthday)},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] V. P. Platonov, M. M. Petrunin, “Fundamental $S$-units in hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves”, Dokl. Math., 92:3 (2015), 667–669 | DOI | DOI | MR | Zbl

[2] V. P. Platonov, G. V. Fedorov, “$S$-units and periodicity of continued fractions in hyperelliptic fields”, Dokl. Math., 92:3 (2015), 752–756 | DOI | DOI | MR | Zbl

[3] V. P. Platonov, M. M. Petrunin, “New curves of genus 2 over the field of rational numbers whose Jacobians contain torsion points of high order”, Dokl. Math., 91:2 (2015), 220–221 | DOI | DOI | MR | Zbl

[4] V. P. Platonov, M. M. Petrunin, “$S$-units in hyperelliptic fields and periodicity of continued fractions”, Dokl. Math., 94:2 (2016), 532–537 | DOI | DOI | MR | Zbl

[5] V. P. Platonov, V. S. Zhgoon, G. V. Fedorov, “Continued rational fractions in hyperelliptic fields and the Mumford representation”, Dokl. Math., 94:3 (2016), 692–696 | DOI | DOI | MR | Zbl

[6] V. P. Platonov, M. M. Petrunin, “$S$-units and periodicity in quadratic function fields”, Russian Math. Surveys, 71:5 (2016), 973–975 | DOI | DOI | MR | Zbl

[7] V. P. Platonov, “On new properties of Hankel matrices over the field of rational numbers”, Russian Math. Surveys, 72:5 (2017), 963–964 | DOI | DOI | MR | Zbl

[8] V. P. Platonov, G. V. Fedorov, “On the periodicity of continued fractions in elliptic fields”, Dokl. Math., 96:1 (2017), 332–335 | DOI | DOI | MR | Zbl

[9] V. P. Platonov, G. V. Fedorov, “On the periodicity of continued fractions in hyperelliptic fields”, Dokl. Math., 95:3 (2017), 254–258 | DOI | DOI | MR | Zbl

[10] V. P. Platonov, V. S. Zhgoon, M. M. Petrunin, 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 | DOI | DOI | Zbl

[11] V. P. Platonov, G. V. Fedorov, “An infinite family of curves of genus 2 over the field of rational numbers whose Jacobian varieties contain rational points of order 28”, Dokl. Math., 98:2 (2018), 468–471 | DOI | DOI | Zbl

[12] V. P. Platonov, M. M. Petrunin, “On new arithmetic properties of determinants of Hankel matrices”, Dokl. Math., 98:1 (2018), 370–372 | DOI | DOI | Zbl

[13] V. P. Platonov, V. S. Zhgoon, G. V. Fedorov, “On the periodicity of continued fractions in hyperelliptic fields over quadratic constant field”, Dokl. Math., 98:2 (2018), 430–434 | DOI | DOI | Zbl

[14] 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 | DOI | DOI | MR | Zbl

[15] V. P. Platonov, G. V. Fedorov, “On the problem of periodicity of continued fractions in hyperelliptic fields”, Sb. Math., 209:4 (2018), 519–559 | DOI | DOI | MR | Zbl

[16] V. P. Platonov, M. M. Petrunin, Yu. N. Shteinikov, “On the finiteness of the number of elliptic fields with given degrees of $S$-units and periodic expansion of $\sqrt{f}$ ”, Dokl. Math., 100:2 (2019), 440–444 | DOI | DOI | Zbl

[17] 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 | DOI | DOI | Zbl

[18] V. P. Platonov, M. M. Petrunin, “On infinite-dimensional integer Hankel matrices”, Dokl. Math, 99:2 (2019), 218–220 | DOI | DOI | Zbl