Geodesic
Vladimir Petrovich Platonov (on his 80th birthday)
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 75 (2020) no. 2, pp. 387-391 Cet article a éte moissonné depuis la source Math-Net.Ru

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@article{RM_2020_75_2_a7,
     author = {S. I. Adian and V. M. Buchstaber and E. I. Zelmanov and S. V. Kislyakov and V. V. Kozlov and Yu. V. Matiyasevich and S. P. Novikov and D. O. Orlov and A. N. Parshin and V. L. Popov and D. V. Treschev},
     title = {Vladimir {Petrovich} {Platonov} (on his 80th birthday)},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {387--391},
     year = {2020},
     volume = {75},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RM_2020_75_2_a7/}
}
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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/

[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