From Symmetric Functions to Partition Identities
In this paper, we show that some classical results from <i>q</i>-analysis and partition theory are specializations of the fundamental relationships between complete and elementary symmetric functions.
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-01-01
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| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/12/2/126 |
| _version_ | 1797622406122045440 |
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| author | Mircea Merca |
| author_facet | Mircea Merca |
| author_sort | Mircea Merca |
| collection | DOAJ |
| description | In this paper, we show that some classical results from <i>q</i>-analysis and partition theory are specializations of the fundamental relationships between complete and elementary symmetric functions. |
| first_indexed | 2024-03-11T09:09:49Z |
| format | Article |
| id | doaj.art-42b069004c224fe4b96fb0b9ed692845 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-11T09:09:49Z |
| publishDate | 2023-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-42b069004c224fe4b96fb0b9ed6928452023-11-16T19:05:37ZengMDPI AGAxioms2075-16802023-01-0112212610.3390/axioms12020126From Symmetric Functions to Partition IdentitiesMircea Merca0Department of Mathematical Methods and Models, Fundamental Sciences Applied in Engineering Research Center, University Politehnica of Bucharest, 060042 Bucharest, RomaniaIn this paper, we show that some classical results from <i>q</i>-analysis and partition theory are specializations of the fundamental relationships between complete and elementary symmetric functions.https://www.mdpi.com/2075-1680/12/2/126symmetric functions<i>q</i>-binomial coefficientspartitions |
| spellingShingle | Mircea Merca From Symmetric Functions to Partition Identities Axioms symmetric functions <i>q</i>-binomial coefficients partitions |
| title | From Symmetric Functions to Partition Identities |
| title_full | From Symmetric Functions to Partition Identities |
| title_fullStr | From Symmetric Functions to Partition Identities |
| title_full_unstemmed | From Symmetric Functions to Partition Identities |
| title_short | From Symmetric Functions to Partition Identities |
| title_sort | from symmetric functions to partition identities |
| topic | symmetric functions <i>q</i>-binomial coefficients partitions |
| url | https://www.mdpi.com/2075-1680/12/2/126 |
| work_keys_str_mv | AT mirceamerca fromsymmetricfunctionstopartitionidentities |