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...
Gespeichert in:
| Veröffentlicht in: | Condensed Matter Physics |
|---|---|
| Datum: | 2012 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут фізики конденсованих систем НАН України
2012
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/120795 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862632937230434304 |
|---|---|
| author | Prokhorov, D. Rovenchak, A. |
| author_facet | Prokhorov, D. Rovenchak, A. |
| 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. |
| collection | DSpace DC |
| container_title | Condensed Matter Physics |
| 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.
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.
|
| first_indexed | 2025-11-30T14:08:49Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-120795 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1607-324X |
| language | English |
| last_indexed | 2025-11-30T14:08:49Z |
| publishDate | 2012 |
| publisher | Інститут фізики конденсованих систем НАН України |
| record_format | dspace |
| spelling | Prokhorov, D. Rovenchak, A. 2017-06-13T04:38:44Z 2017-06-13T04:38:44Z 2012 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 https://nasplib.isofts.kiev.ua/handle/123456789/120795 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. We thank Yuri Krynytskyi for discussions on some issues raised in this paper. The work was partly supported by grant ΦΦ–110Φ (No. 0112U001275) from the Ministry of education, science, youth, and sports of Ukraine. en Інститут фізики конденсованих систем НАН України Condensed Matter Physics Asymptotic formulas for integer partitions within the approach of microcanonical ensemble Асимптотичнi формули для розбиттiв цiлих чисел у пiдходi мiкроканонiчного ансамблю Article published earlier |
| spellingShingle | Asymptotic formulas for integer partitions within the approach of microcanonical ensemble Prokhorov, D. Rovenchak, A. |
| title | Asymptotic formulas for integer partitions within the approach of microcanonical ensemble |
| title_alt | Асимптотичнi формули для розбиттiв цiлих чисел у пiдходi мiкроканонiчного ансамблю |
| 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_short | Asymptotic formulas for integer partitions within the approach of microcanonical ensemble |
| title_sort | asymptotic formulas for integer partitions within the approach of microcanonical ensemble |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/120795 |
| work_keys_str_mv | AT prokhorovd asymptoticformulasforintegerpartitionswithintheapproachofmicrocanonicalensemble AT rovenchaka asymptoticformulasforintegerpartitionswithintheapproachofmicrocanonicalensemble AT prokhorovd asimptotičniformulidlârozbittivcilihčiselupidhodimikrokanoničnogoansamblû AT rovenchaka asimptotičniformulidlârozbittivcilihčiselupidhodimikrokanoničnogoansamblû |