On adding up to powers
Date of Publication
1998
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
This thesis is an exposition of the Moessner's process which generates the Kth powers of a natural number. In particular, this study is based on the article Adding up to Powers by Edward A. Bender, Fred Kochman, and Douglas B. West dated February 1990. It presents proofs of some results from the article using techniques in Combinatorics such as recurrence relations, proof by 1-1 correspondence, and counting of lattice paths.
Abstract Format
html
Language
English
Format
Accession Number
TU08783
Shelf Location
Archives, The Learning Commons, 12F Henry Sy Sr. Hall
Physical Description
39 numb. leaves
Keywords
Combinatorial probabilities; Lattice paths; Numbers, Natural; Greatest integer function
Recommended Citation
Reyes, C. A. (1998). On adding up to powers. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16509