Dissertations and Theses @ UNI
Availability
Open Access Thesis
Keywords
Decimal fractions; Polynomials; Academic theses;
Abstract
This thesis makes a contribution to the study of repeating decimals. The primary focus of earlier investigations of repeating decimals have been in base 10. The purpose of this thesis is to determine when solutions exist for the following problem: given integers n ≥1 and b ≥ 2, what is the smallest prime p such that 1/p repeats exactly n digits in base b. In addition, when a solution p exists, it is shown that the cycles in base b of the form x/p correspond to the cosets of a subgroup of the multiplicative group on non-zero congruence classes modulo p.
Year of Submission
2005
Degree Name
Master of Arts
Department
Department of Mathematics
First Advisor
Marius Somodi
Second Advisor
Jason Ribando
Third Advisor
Adrienne Stanley
Date Original
2005
Object Description
1 PDF file (36 leaves)
Copyright
©2005 David H. Chapman
Language
en
File Format
application/pdf
Recommended Citation
Chapman, David H., "Repeating Decimals and Cyclotomic Polynomials" (2005). Dissertations and Theses @ UNI. 2323.
https://scholarworks.uni.edu/etd/2323
Comments
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