On multisets, interpolated multiple zeta values and limit laws.
- In this work we discuss a parameter σ on weighted k-element multisets of [n]={1,…,n}. The sums of weighted k-multisets are related to k-subsets, k-multisets, as well as special instances of truncated interpolated multiple zeta values. We study properties of this parameter using symbolic combinatorics. We rederive and extend certain identities for ζtn({m}k). Moreover, we introduce random variables on the k-element multisets and derive their distributions, as well as limit laws for k or n tending to infinity.
Metadaten| Author: | Markus Kuba |
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| Parent Title (English): | Electronic Journal of Combinatorics |
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| Document Type: | Article |
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| Language: | English |
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| Completed Date: | 2022/03/01 |
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| Responsibility for metadata: | Fachhochschule Technikum Wien |
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| Release Date: | 2023/01/01 |
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| GND Keyword: | harmonic-numbers; interpolated-multiple-zeta-values; k-multisets; k-subsets; truncated-multiple-zeta-values |
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| Issue: | Vol. 29, Issue 1 |
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| Publish on Website: | 1 |
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| Open Access: | 1 |
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| Reviewed: | 0 |
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| Link to Publication: | https://doi.org/10.37236/10305 |
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| Department: | Department Angewandte Mathematik und Physik |
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| Research Focus: | Sonstiges |
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| Projects: | Import |
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| Studienjahr: | 2021/2022 |
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