Mechanical characteristics of molecular dynamics model and Korobov polynomials
Dalʹnevostočnyj matematičeskij žurnal, Tome 16 (2016) no. 1, pp. 39-43.

Voir la notice de l'article provenant de la source Math-Net.Ru

We use the number theory methods for explicit calculation of a static stress field in the system of a 1D chain harmonic oscillators. The sums defining stress field are presented in terms of Korobov polynomials for arbitrary number of oscillators and arbitrary averaging scale.
@article{DVMG_2016_16_1_a3,
     author = {M. A. Guzev and A. V. Ustinov},
     title = {Mechanical characteristics of molecular dynamics model and {Korobov} polynomials},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {39--43},
     publisher = {mathdoc},
     volume = {16},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2016_16_1_a3/}
}
TY  - JOUR
AU  - M. A. Guzev
AU  - A. V. Ustinov
TI  - Mechanical characteristics of molecular dynamics model and Korobov polynomials
JO  - Dalʹnevostočnyj matematičeskij žurnal
PY  - 2016
SP  - 39
EP  - 43
VL  - 16
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DVMG_2016_16_1_a3/
LA  - ru
ID  - DVMG_2016_16_1_a3
ER  - 
%0 Journal Article
%A M. A. Guzev
%A A. V. Ustinov
%T Mechanical characteristics of molecular dynamics model and Korobov polynomials
%J Dalʹnevostočnyj matematičeskij žurnal
%D 2016
%P 39-43
%V 16
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DVMG_2016_16_1_a3/
%G ru
%F DVMG_2016_16_1_a3
M. A. Guzev; A. V. Ustinov. Mechanical characteristics of molecular dynamics model and Korobov polynomials. Dalʹnevostočnyj matematičeskij žurnal, Tome 16 (2016) no. 1, pp. 39-43. http://geodesic.mathdoc.fr/item/DVMG_2016_16_1_a3/

[1] M. A. Guzev, Yu. G. Izrailskii, M. A. Shepelov, “Molekulyarno-dinamicheskie kharakteristiki odnomernoi tochno reshaemoi modeli na razlichnykh masshtabakh”, Fizicheskaya mekhanika, 9:5 (2006), 53–57

[2] N. M. Korobov, “Spetsialnye polinomy i ikh prilozheniya”, Diofantovy priblizheniya. Matem. zapiski, 2 (1996), 77–89 | MR

[3] A. V. Ustinov, “O formulakh summirovaniya i interpolyatsii”, Chebyshevskii sbornik, 1 (2001), 52–71 | MR | Zbl

[4] N. M. Korobov, “O nekotorykh svoistvakh spetsialnykh polinomov”, Chebyshevskii sbornik, 1 (2001), 40–49 | MR | Zbl

[5] A. V. Ustinov, “Ob odnom obobschenii chisel Stirlinga”, Chebyshevskii sbornik, 3:2(4) (2002), 107–122 | MR | Zbl

[6] A. V. Ustinov, “Polinomy Korobova i tenevoi analiz”, Chebyshevskii sbornik, 4:4(8) (2003), 137–152 | MR | Zbl