Term of Award
Summer 2021
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (open access)
Copyright Statement / License for Reuse
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Department of Mathematical Sciences
Committee Chair
Hua Wang
Committee Member 1
Goran Lesaja
Committee Member 2
Daniel Gray
Non-Voting Committee Member
Brian Hopkins
Abstract
Integer compositions, cyclic compositions, and lately k-compositions, are an important topic in combinatorics and number theory. In this paper, we will explain, the general approach of using generating functions to study number sequences involving compositions, cyclic compositions, k-compositions, and the number of parts in each of them. After generating the data, some properties are observed and proved. Also, some interesting bijections involving Pell numbers and the Jacobsthal sequence are given.
OCLC Number
1266871229
Catalog Permalink
https://galileo-georgiasouthern.primo.exlibrisgroup.com/permalink/01GALI_GASOUTH/1r4bu70/alma9916469450402950
Recommended Citation
Ramaj, Silvana, "New Results on Cyclic Compositions and Multicompositions" (2021). Electronic Theses and Dissertations. 2273.
https://digitalcommons.georgiasouthern.edu/etd/2273
Research Data and Supplementary Material
No
