# Elementary Number Theory And Its Applications

@inproceedings{Strauss2016ElementaryNT, title={Elementary Number Theory And Its Applications}, author={Anne Strauss}, year={2016} }

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## 92 Citations

The conjugacy action of $$S_n$$Sn and modules induced from centralisers

- Mathematics
- 2016

We establish, for the character table of the symmetric group, the positivity of the row sums indexed by irreducible characters, when restricted to various subsets of the conjugacy classes. A notable…

Classical pairs in Zn

- Mathematics
- 2020

The interplay between algebraic structures and their elements have been the most famous and productive area of the algebraic theory of numbers. Generally, the greatest common divisor and least common…

Why the nth-root function is not a rational function

- Mathematics
- 2017

ABSTRACT The set of functions is linearly independent over (with respect to any open subinterval of (0, ∞)). The titular result is a corollary for any integer n ≥ 2 (and the domain [0, ∞)). Some more…

Prime Labeling of Small Trees with Gaussian Integers

- Mathematics
- 2016

A graph on n vertices is said to admit a prime labeling if we can label its vertices with the first n natural numbers such that any two adjacent vertices have relatively prime labels. Here we extend…

Prime labeling of families of trees with Gaussian integers

- MathematicsAKCE Int. J. Graphs Comb.
- 2016

Estimating the counts of Carmichael and Williams numbers with small multiple seeds

- MathematicsMath. Comput.
- 2015

The estimate that more than 224 Williams numbers may be manufactured from a particular set of 1029 primes, although this work does not construct any explicit examples, and the difficulties involved in doing so are described.

More Grade School Triangles

- MathematicsAm. Math. Mon.
- 2017

It is demonstrated that the answer in general is negative, except for three distinguished families of triangles: One family is well known since antiquity: With the largest angle equal to 90 degrees, it simply is the family of Pythagorean right triangles.

ON THE PRIME DECOMPOSITION OF INTEGERS OF THE FORM zn-yn/z-y

- MathematicsJP Journal of Algebra, Number Theory and Applications
- 2019

In this work, the author shows a sufficient and necessary condition for an integer of the form $(zn-y^n)/(z-y)$ to be divisible by some perfect $mth$ power $p$, where $p$ is an odd prime and $m$ is a…

An O(log p) Approach to Point-Counting on Elliptic Curves From a Prominent Family Over the Prime Field Fp

- Computer Science, Mathematics
- 2021

The essence of this approach consists in combining the well-known Hasse bound with an explicit formula for that order reduced to modulo p to advance an efficient technique of complexity O(log p) for computing simultaneously the six orders associated with the family Ep.

PERIODIC SEQUENCES OF NUMBERS IN GENERALIZED ARITHMETIC AND GEOMETRIC ALTERNATE PROGRESSIONS

- Mathematics
- 2015

The natural numbers, usually denoted by N, is given by the sequence 1, 2, 3, 4, 5, 6, 7, . . .. This type of number sequence is an example of what we call arithmetic sequence. An arithmetic sequence…