Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Petrunin, Maksim Maksimovich
Statistics Math-Net.Ru
Total publications: 21
Scientific articles: 21
Presentations: 3

Number of views:
This page:887
Abstract pages:3494
Full texts:436
References:280
Candidate of physico-mathematical sciences (2019)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
E-mail: ,

https://www.mathnet.ru/eng/person78333
List of publications on Google Scholar
List of publications on ZentralBlatt
https://www.webofscience.com/wos/author/record/R-5313-2016

Publications in Math-Net.Ru Citations
2023
1. V. P. Platonov, M. M. Petrunin, “New Results on the Periodicity Problem for Continued Fractions of Elements of Hyperelliptic Fields”, Trudy Mat. Inst. Steklova, 320 (2023),  278–286  mathnet; Proc. Steklov Inst. Math., 320 (2023), 258–266  scopus
2022
2. G. V. Fedorov, V. S. Zhgoon, M. M. Petrunin, Yu. N. Shteinikov, “On the Parametrization of Hyperelliptic Fields with $S$-Units of Degrees 7 and 9”, Mat. Zametki, 112:3 (2022),  444–452  mathnet  mathscinet; Math. Notes, 112:3 (2022), 451–457  scopus
3. V. P. Platonov, V. S. Zhgoon, M. M. Petrunin, “On the problem of periodicity of continued fraction expansions of $\sqrt{f}$ for cubic polynomials $f$ over algebraic number fields”, Mat. Sb., 213:3 (2022),  139–170  mathnet  mathscinet; Sb. Math., 213:3 (2022), 412–442  isi  scopus 4
2021
4. V. P. Platonov, M. M. Petrunin, Yu. N. Shteinikov, “On the periodicity problem for the continued fraction expansion of elements of hyperelliptic fields with fundamental $S$-units of degree at most 11”, Dokl. RAN. Math. Inf. Proc. Upr., 500 (2021),  45–51  mathnet  zmath  elib; Dokl. Math., 104:5 (2021), 258–263  scopus 2
2020
5. V. P. Platonov, M. M. Petrunin, Yu. N. Shteinikov, “Periodic elements $\sqrt{f}$ in elliptic fields with a field of constants of zero characteristic”, Chebyshevskii Sb., 21:1 (2020),  273–296  mathnet  mathscinet
6. V. P. Platonov, M. M. Petrunin, “On the finiteness of the number of expansions into a continued fraction of $\sqrt f$ for cubic polynomials over algebraic number fields”, Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020),  48–54  mathnet  zmath  elib; Dokl. Math., 102:3 (2020), 487–492  isi  scopus 7
7. V. P. Platonov, V. S. Zhgoon, M. M. Petrunin, “On the problem of periodicity of continued fraction expansions of $\sqrt{f}$ for cubic polynomials over number fields”, Dokl. RAN. Math. Inf. Proc. Upr., 493 (2020),  32–37  mathnet  zmath  elib; Dokl. Math., 102:1 (2020), 288–292  isi  scopus 5
2019
8. 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. Akad. Nauk, 488:3 (2019),  237–242  mathnet  mathscinet  elib; Dokl. Math., 100:2 (2019), 1–5  isi  scopus 12
9. V. P. Platonov, M. M. Petrunin, “On infinite-dimensional integer Hankel matrices”, Dokl. Akad. Nauk, 485:6 (2019),  667–669  mathnet  elib; Dokl. Math., 99:2 (2019), 218–220  isi  scopus 1
2018
10. 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. Akad. Nauk, 483:6 (2018),  609–613  mathnet  zmath  elib; Dokl. Math., 98:3 (2018), 641–645  isi  scopus 10
11. V. P. Platonov, M. M. Petrunin, “On New Arithmetic Properties of Determinants of Hankel Matrices”, Dokl. Akad. Nauk, 481:5 (2018),  484–485  mathnet  elib; Dokl. Math., 98:1 (2018), 370–372  isi  elib  scopus 1
12. V. P. Platonov, M. M. Petrunin, “Groups of $S$-units and the problem of periodicity of continued fractions in hyperelliptic fields”, Trudy Mat. Inst. Steklova, 302 (2018),  354–376  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 302 (2018), 336–357  isi  scopus 23
2016
13. V. P. Platonov, M. M. Petrunin, “$S$-units in hyperelliptic fields and periodicity of continued fractions”, Dokl. Akad. Nauk, 470:3 (2016),  260–265  mathnet  elib; Dokl. Math., 94:2 (2016), 532–537  isi  elib  scopus 13
14. V. P. Platonov, M. M. Petrunin, “$S$-Units and periodicity in quadratic function fields”, Uspekhi Mat. Nauk, 71:5(431) (2016),  181–182  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 71:5 (2016), 973–975  isi  scopus 17
2015
15. M. M. Petrunin, “Calculation of the fundamental $S$-units in hyperelliptic fields of genus $2$ and the torsion problem in the jacobians of hyperelliptic curves”, Chebyshevskii Sb., 16:4 (2015),  250–283  mathnet  elib 3
16. V. P. Platonov, M. M. Petrunin, “Fundamental $S$-units in hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves”, Dokl. Akad. Nauk, 465:1 (2015),  23–25  mathnet  elib; Dokl. Math., 92:3 (2015), 667–669  isi  scopus 6
17. 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. Akad. Nauk, 461:6 (2015),  638–639  mathnet  mathscinet  zmath  elib; Dokl. Math., 91:2 (2015), 220–221  isi  scopus 3
2013
18. V. P. Platonov, V. S. Zhgun, M. M. Petrunin, “On the simplicity of Jacobians for hyperelliptic curves of genus 2 over the field of rational numbers with torsion points of high order”, Dokl. Akad. Nauk, 450:4 (2013),  385–388  mathnet  zmath; Dokl. Math., 87:3 (2013), 318–321  isi  scopus 7
2012
19. V. P. Platonov, M. M. Petrunin, “On the torsion problem in jacobians of curves of genus 2 over the rational number field”, Dokl. Akad. Nauk, 446:3 (2012),  263–264  mathnet  mathscinet  zmath; Dokl. Math., 86:2 (2012), 642–643  isi  scopus 11
20. V. P. Platonov, M. M. Petrunin, “New orders of torsion points in Jacobians of curves of genus 2 over the rational number field”, Dokl. Akad. Nauk, 443:6 (2012),  664–667  mathnet  mathscinet  zmath; Dokl. Math., 85:2 (2012), 286–288  isi  scopus 13
2011
21. Yu. V. Kuznetsov, M. M. Petrunin, “A fast algorithm for checking the degeneracy of Hankel matrices”, Chebyshevskii Sb., 12:2 (2011),  60–67  mathnet  mathscinet

Presentations in Math-Net.Ru
1. $S$-единицы и функциональные непрерывные дроби в гиперэллиптических полях
M. M. Petrunin
Knots and Representation Theory
March 2, 2020
2. $s$-единицы и функциональные непрерывные дроби в гиперэллиптических полях.
M. M. Petrunin
Research Seminar of the Department of Higher Algebra MSU
April 1, 2019 16:45
3. Группы S-единиц и проблема периодичности непрерывных дробей в гиперэллиптических полях
M. M. Petrunin
XV International Conference «Algebra, Number Theory and Discrete Geometry: modern problems and applications», dedicated to the centenary of the birth of the Doctor of Physical and Mathematical Sciences, Professor of the Moscow State University Korobov Nikolai Mikhailovich
May 29, 2018 16:00

Organisations
 
  Contact us:
  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024