| 000 | 02522nlm1a2200445 4500 | ||
|---|---|---|---|
| 001 | 661579 | ||
| 005 | 20231030041751.0 | ||
| 035 | _a(RuTPU)RU\TPU\network\32219 | ||
| 035 | _aRU\TPU\network\23026 | ||
| 090 | _a661579 | ||
| 100 | _a20200115a2015 k y0engy50 ba | ||
| 101 | 0 | _aeng | |
| 135 | _adrcn ---uucaa | ||
| 181 | 0 | _ai | |
| 182 | 0 | _ab | |
| 200 | 1 |
_aOn a problem in geometry of numbers arising in spectral theory _fYu. A. Kordyukov, A. A. Yakovlev |
|
| 203 |
_aText _celectronic |
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| 300 | _aTitle screen | ||
| 320 | _a[References: 11 tit.] | ||
| 330 | _aWe study the lattice point counting problem for a class of families of domains in a Euclidean space. This class consists of anisotropically expanding bounded domains that remain unchanged along some fixed linear subspace and expand in directions orthogonal to this subspace. We find the leading term in the asymptotics of the number of lattice points in such family of domains and prove remainder estimates in this asymptotics under various conditions on the lattice and the family of domains. As a consequence, we prove an asymptotic formula for the eigenvalue distribution function of the Laplace operator on a flat torus in adiabatic limit determined by a linear foliation with a nontrivial remainder estimate. | ||
| 333 | _aРежим доступа: по договору с организацией-держателем ресурса | ||
| 461 | _tRussian Journal of Mathematical Physics | ||
| 463 |
_tVol. 22, iss. 4 _v[P. 473-482] _d2015 |
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| 610 | 1 | _aэлектронный ресурс | |
| 610 | 1 | _aтруды учёных ТПУ | |
| 610 | 1 | _alinear subspace | |
| 610 | 1 | _aasymptotic formula | |
| 610 | 1 | _aalgebraic number | |
| 610 | 1 | _arectangular parallelepiped | |
| 610 | 1 | _aadiabatic limit | |
| 610 | 1 | _aлинейное подпространство | |
| 610 | 1 | _aасимптотическая формула | |
| 610 | 1 | _aалгебраическое число | |
| 610 | 1 | _aпрямоугольный параллелепипед | |
| 610 | 1 | _aадиабатический предел | |
| 700 | 1 |
_aKordyukov _bYu. A. _gYuri Arkadievich |
|
| 701 | 1 |
_aYakovlev _bA. A. _cspecialist in the field of petroleum engineering _cFirst Vice-Rector, Associate Professor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences _f1981- _gAndrey Alexandrovich _2stltpush _3(RuTPU)RU\TPU\pers\45819 |
|
| 801 | 2 |
_aRU _b63413507 _c20200115 _gRCR |
|
| 856 | 4 | _uhttps://doi.org/10.1134/S106192081504007X | |
| 942 | _cCF | ||