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

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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. 
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     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},
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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/