On the Distribution and Products of Totatives
(2014) In Bachelor's Theses in Mathematical Sciences MATK01 20132Mathematics (Faculty of Sciences)
- Abstract
- This thesis concerns itself with relative primality of integers. It uses
the concept of totatives, that is, integers relatively prime to a fixed
number n, to investigate the distribution and products of those integers.
The thesis presents two sufficient conditions for uniform distribution
of totatives, a composite analogy of Wilson's theorem, and some
results on partial products, including sufficient conditions for congruence
of partial products in composite moduli and the Gauss and Jacobi
coefficient theorems for prime moduli.
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/student-papers/record/4293182
- author
- Lindborg, Alma LU
- supervisor
-
- Arne Meurman LU
- Thomas Edlund LU
- organization
- course
- MATK01 20132
- year
- 2014
- type
- M2 - Bachelor Degree
- subject
- keywords
- Number Theory, Discrete Mathematics, Totatives, Primes
- publication/series
- Bachelor's Theses in Mathematical Sciences
- report number
- LUNFMA-4028-2014
- ISSN
- 1654-6229
- other publication id
- 2014:K1
- language
- English
- id
- 4293182
- date added to LUP
- 2014-02-14 16:30:58
- date last changed
- 2014-02-14 16:30:58
@misc{4293182,
abstract = {{This thesis concerns itself with relative primality of integers. It uses
the concept of totatives, that is, integers relatively prime to a fixed
number n, to investigate the distribution and products of those integers.
The thesis presents two sufficient conditions for uniform distribution
of totatives, a composite analogy of Wilson's theorem, and some
results on partial products, including sufficient conditions for congruence
of partial products in composite moduli and the Gauss and Jacobi
coefficient theorems for prime moduli.}},
author = {{Lindborg, Alma}},
issn = {{1654-6229}},
language = {{eng}},
note = {{Student Paper}},
series = {{Bachelor's Theses in Mathematical Sciences}},
title = {{On the Distribution and Products of Totatives}},
year = {{2014}},
}