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

Print

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

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