Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Kristina C. Garrett"'
Publikováno v:
Theoretical Computer Science. 694:10-20
A Garden of Eden state in a dynamical system is one with no preimage. For operations on partitions known as the sand pile model and its generalizations, we characterize and enumerate these Garden of Eden partitions. In addition to motivation from the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::041316112fa7fca4a70a6bf83b56f3e6
https://doi.org/10.1016/j.tcs.2017.06.024
https://doi.org/10.1016/j.tcs.2017.06.024
Publikováno v:
Involve 10, no. 3 (2017), 523-530
We present a [math] -analogue of the sum of cubes, give an interpretation in terms of overpartitions, and provide a combinatorial proof. In addition, we note a connection between a generating function for overpartitions and the [math] -Delannoy numbe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::00a99ba6edce92796f365f07cf1b37fa
https://projecteuclid.org/euclid.involve/1513087853
https://projecteuclid.org/euclid.involve/1513087853
Publikováno v:
Open Journal of Discrete Mathematics. :109-114
The Legendre-Stirling numbers were discovered by Everitt, Littlejohn and Wellman in 2002 in a study of the spectral theory of powers of the classical second-order Legendre differential operator. In 2008, Andrews and Littlejohn gave a combinatorial in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4fba2eac007990215abaf4bc29900c1a
https://doi.org/10.4236/ojdm.2014.44014
https://doi.org/10.4236/ojdm.2014.44014
Publikováno v:
Discrete Applied Mathematics. 159(13):1377-1380
Let spt ( n ) denote Andrews’ smallest part statistic. Andrews discovered congruences for spt ( n ) mod 5 , 7 and 13 which are reminiscent of Ramanujan’s classical partition congruences for moduli 5, 7, and 11. We create an algorithm exploiting a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5b12200361adeb80f0b584309172f44
Autor:
Kristina C. Garrett
Publikováno v:
The Electronic Journal of Combinatorics. 12
We give a combinatorial proof of a general determinant identity for associated polynomials. This determinant identity gives rise to new polynomial generalizations of known Rogers-Ramanujan type identities. Several examples of new Rogers-Ramanujan typ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2a2b0756216f147db506a883b0d4942d
https://doi.org/10.37236/1932
https://doi.org/10.37236/1932
Autor:
Kristen Hummel, Kristina C. Garrett
Publikováno v:
The Electronic Journal of Combinatorics. 11
We give a combinatorial proof of a $q$-analogue of the classical formula for the sum of cubes.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2ea64967f375e0227a4558859c19b6d6
https://doi.org/10.37236/1762
https://doi.org/10.37236/1762