Petrunin Maksim Maksimovich

Publications in Math-Net.Ru

1. On a class of periodic elements in hyperelliptic fields defined by polynomials of odd degree
   
   Chebyshevskii Sb., 25:4 (2024),  147–153
2. New Results on the Periodicity Problem for Continued Fractions of Elements of Hyperelliptic Fields
   
   Trudy Mat. Inst. Steklova, 320 (2023),  278–286
3. On the Parametrization of Hyperelliptic Fields with $S$-Units of Degrees 7 and 9
   
   Mat. Zametki, 112:3 (2022),  444–452
4. 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
5. 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
6. Periodic elements $\sqrt{f}$ in elliptic fields with a field of constants of zero characteristic
   
   Chebyshevskii Sb., 21:1 (2020),  273–296
7. 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
8. 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
9. 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
10. On infinite-dimensional integer Hankel matrices
    
    Dokl. Akad. Nauk, 485:6 (2019),  667–669
11. On the Finiteness of Hyperelliptic Fields with Special Properties and Periodic Expansion of $\sqrt f$
    
    Dokl. Akad. Nauk, 483:6 (2018),  609–613
12. On New Arithmetic Properties of Determinants of Hankel Matrices
    
    Dokl. Akad. Nauk, 481:5 (2018),  484–485
13. Groups of $S$-units and the problem of periodicity of continued fractions in hyperelliptic fields
    
    Trudy Mat. Inst. Steklova, 302 (2018),  354–376
14. $S$-units in hyperelliptic fields and periodicity of continued fractions
    
    Dokl. Akad. Nauk, 470:3 (2016),  260–265
15. $S$-Units and periodicity in quadratic function fields
    
    Uspekhi Mat. Nauk, 71:5(431) (2016),  181–182
16. 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
17. Fundamental $S$-units in hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves
    
    Dokl. Akad. Nauk, 465:1 (2015),  23–25
18. 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
19. 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
20. On the torsion problem in jacobians of curves of genus 2 over the rational number field
    
    Dokl. Akad. Nauk, 446:3 (2012),  263–264
21. 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
22. A fast algorithm for checking the degeneracy of Hankel matrices
    
    Chebyshevskii Sb., 12:2 (2011),  60–67