Geodesic
On multisets, interpolated multiple zeta values and limit laws
The electronic journal of combinatorics, Tome 29 (2022) no. 1
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

In this work we discuss a parameter $\sigma$ on weighted $k$-element multisets of $[n]= \{1,\dots ,n\}$. 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 (re)derive and extend certain identities for $\zeta^{t}_n(\{m\}_k)$. 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.
DOI : 10.37236/10305
Classification : 60C05, 11M32 
@article{10_37236_10305,
     author = {Markus Kuba},
     title = {On multisets, interpolated multiple zeta values and limit laws},
     journal = {The electronic journal of combinatorics},
     year = {2022},
     volume = {29},
     number = {1},
     doi = {10.37236/10305},
     zbl = {1492.60023},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/10305/}
}
TY  - JOUR
AU  - Markus Kuba
TI  - On multisets, interpolated multiple zeta values and limit laws
JO  - The electronic journal of combinatorics
PY  - 2022
VL  - 29
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.37236/10305/
DO  - 10.37236/10305
ID  - 10_37236_10305
ER  - 
%0 Journal Article
%A Markus Kuba
%T On multisets, interpolated multiple zeta values and limit laws
%J The electronic journal of combinatorics
%D 2022
%V 29
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/10305/
%R 10.37236/10305
%F 10_37236_10305
Markus Kuba. On multisets, interpolated multiple zeta values and limit laws. The electronic journal of combinatorics, Tome 29 (2022) no. 1. doi: 10.37236/10305

Cité par Sources :