Parity Considerations for Mex-Related Partition Functions of Andrews and Newman
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866917678493466624 |
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| author | da Silva, Robson Sellers, James A. |
| author_facet | da Silva, Robson Sellers, James A. |
| contents | In a recent paper, Andrews and Newman extended the mex-function to integer partitions and proved many partition identities connected with these functions. In this paper, we present parity considerations of one of the families of functions they studied, namely $p_{t,t}(n)$. Among our results, we provide complete parity characterizations of $p_{1,1}(n)$ and $p_{3,3}(n)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2004_02292 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Parity Considerations for Mex-Related Partition Functions of Andrews and Newman da Silva, Robson Sellers, James A. Number Theory Combinatorics 11P83, 05A17 In a recent paper, Andrews and Newman extended the mex-function to integer partitions and proved many partition identities connected with these functions. In this paper, we present parity considerations of one of the families of functions they studied, namely $p_{t,t}(n)$. Among our results, we provide complete parity characterizations of $p_{1,1}(n)$ and $p_{3,3}(n)$. |
| title | Parity Considerations for Mex-Related Partition Functions of Andrews and Newman |
| topic | Number Theory Combinatorics 11P83, 05A17 |
| url | https://arxiv.org/abs/2004.02292 |