Corpus ID: 119136652

On multisets, interpolated multiple zeta values and limit laws.

@inproceedings{Kuba2019OnMI,
  title={On multisets, interpolated multiple zeta values and limit laws.},
  author={Markus Kuba},
  year={2019}
}
  • Markus Kuba
  • Published 2019
  • Mathematics
  • In this note we introduce a parameter $\sigma$ on weighted $k$-element multisets of $[n]= \{1,\dots ,n\}$. The sums of weighted $k$-multisets relate $k$-subsets, $k$-multisets, as well as special instances of (truncated) interpolated multiple zeta values, as introduced by Yamamoto. We study properties of this parameter using symbolic combinatorics. We (re)derive and extend certain identities for $\zeta^{t}(\{m\}_k)$, as well as $\zeta^{t}_n(\{m\}_k)$. Moreover, we introduce random variables on… CONTINUE READING

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