Asymptotic formulas for integer partitions within the approach of microcanonical ensemble
The problem of integer partitions is addressed using the microcanonical approach which is based on the analogy between this problem in the number theory and the calculation of microstates of a many-boson system. For ordinary (one-dimensional) partitions, the correction to the leading asymptotic is o...
Збережено в:
| Дата: | 2012 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2012
|
| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/120795 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Asymptotic formulas for integer partitions within the approach of microcanonical ensemble / D. Prokhorovб A. Rovenchak// Condensed Matter Physics. — 2012. — Т. 15, № 3. — С. 33001:1-9 . — Бібліогр.: 15 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-120795 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1207952017-06-14T03:05:44Z Asymptotic formulas for integer partitions within the approach of microcanonical ensemble Prokhorov, D. Rovenchak, A. The problem of integer partitions is addressed using the microcanonical approach which is based on the analogy between this problem in the number theory and the calculation of microstates of a many-boson system. For ordinary (one-dimensional) partitions, the correction to the leading asymptotic is obtained. The estimate for the number of two-dimensional (plane) partitions coincides with known asymptotic results. Розглянуто задачу про розбиття цiлих чисел у межах мiкроканонiчного пiдходу, який ґрунтується на аналогiї мiж цiєю задачею з теорiї чисел i обчисленням кiлькостi мiкростанiв багатобозонної системи. Для звичайних (одновимiрних) розбиттiв отримано поправку до головної асимптотики. Оцiнка кiлькостi двовимiрних (плоских) розбиттiв добре узгоджується з вiдомими асимптотичними результатами. 2012 Article Asymptotic formulas for integer partitions within the approach of microcanonical ensemble / D. Prokhorovб A. Rovenchak// Condensed Matter Physics. — 2012. — Т. 15, № 3. — С. 33001:1-9 . — Бібліогр.: 15 назв. — англ. 1607-324X PACS: 05.30.Ch, 05.30.Jp DOI:10.5488/CMP.15.33001 arXiv:1210.1415 http://dspace.nbuv.gov.ua/handle/123456789/120795 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
The problem of integer partitions is addressed using the microcanonical approach which is based on the analogy between this problem in the number theory and the calculation of microstates of a many-boson system. For ordinary (one-dimensional) partitions, the correction to the leading asymptotic is obtained. The estimate for the number of two-dimensional (plane) partitions coincides with known asymptotic results. |
| format |
Article |
| author |
Prokhorov, D. Rovenchak, A. |
| spellingShingle |
Prokhorov, D. Rovenchak, A. Asymptotic formulas for integer partitions within the approach of microcanonical ensemble Condensed Matter Physics |
| author_facet |
Prokhorov, D. Rovenchak, A. |
| author_sort |
Prokhorov, D. |
| title |
Asymptotic formulas for integer partitions within the approach of microcanonical ensemble |
| title_short |
Asymptotic formulas for integer partitions within the approach of microcanonical ensemble |
| title_full |
Asymptotic formulas for integer partitions within the approach of microcanonical ensemble |
| title_fullStr |
Asymptotic formulas for integer partitions within the approach of microcanonical ensemble |
| title_full_unstemmed |
Asymptotic formulas for integer partitions within the approach of microcanonical ensemble |
| title_sort |
asymptotic formulas for integer partitions within the approach of microcanonical ensemble |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/120795 |
| citation_txt |
Asymptotic formulas for integer partitions within the approach of microcanonical ensemble / D. Prokhorovб A. Rovenchak// Condensed Matter Physics. — 2012. — Т. 15, № 3. — С. 33001:1-9 . — Бібліогр.: 15 назв. — англ. |
| series |
Condensed Matter Physics |
| work_keys_str_mv |
AT prokhorovd asymptoticformulasforintegerpartitionswithintheapproachofmicrocanonicalensemble AT rovenchaka asymptoticformulasforintegerpartitionswithintheapproachofmicrocanonicalensemble |
| first_indexed |
2023-10-18T20:37:46Z |
| last_indexed |
2023-10-18T20:37:46Z |
| _version_ |
1796150697447653376 |