Finite sums associated with some polynomial identities
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908292363583488 |
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| author | Adegoke, Kunle Frontczak, Robert Gryszka, Karol |
| author_facet | Adegoke, Kunle Frontczak, Robert Gryszka, Karol |
| contents | In this paper, we present a general framework for the derivation of interesting finite combinatorial sums starting with certain classes of polynomial identities. The sums that can be derived involve products of binomial coefficients and also harmonic numbers and squared harmonic numbers. We apply the framework to discuss combinatorial sums associated with some prominent polynomial identities from the recent past. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_00004 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite sums associated with some polynomial identities Adegoke, Kunle Frontczak, Robert Gryszka, Karol Combinatorics 05A10, 05A19, 11B83 In this paper, we present a general framework for the derivation of interesting finite combinatorial sums starting with certain classes of polynomial identities. The sums that can be derived involve products of binomial coefficients and also harmonic numbers and squared harmonic numbers. We apply the framework to discuss combinatorial sums associated with some prominent polynomial identities from the recent past. |
| title | Finite sums associated with some polynomial identities |
| topic | Combinatorics 05A10, 05A19, 11B83 |
| url | https://arxiv.org/abs/2504.00004 |