## 7 Citations

### Cubes of integral vectors in dimension four

- Mathematics
- 2011

A system of $m$ nonzero vectors in $\mathbb{Z}^n$ is called an $m$-icube if they are pairwise orthogonal and have the same length. The paper describes $m$-icubes in $\mathbb{Z}^4$ for $2\le m\le 4$…

### Cubic sublattices

- Mathematics
- 2022

A sublattice of the three-dimensional integer lattice Z is called cubic sublattice if there exists a basis of the sublattice whose elements are pairwise orthogonal and of equal lengths. We show that…

### A sum of three nonunit squares of integers

- Mathematics
- 2019

We say a positive integer is a sum of three nonunit squares if it is a sum of three squares of integers other than one. In this article, we find all integers which are sums of three nonunit squares…

### Ehrhart polynomial for lattice squares, cubes and hypercubes

- Mathematics, Computer Science
- 2015

For squares and cubes and hypercubes, the Ehrhart polynomial is found, one of the coefficients is computed and there exists a simple linear relation between the other two unknown coefficients.

### A BSc-képzés szakdolgozati témái

- 2014

An-Bsc 1. Tipikus függvények, mértékek irregularitási tulajdonságai Témavezető: Buczolich Zoltán A téma rövid leírása: A tipikus folytonos függvények Hölder spektrumát és momentum összegeit vizsgáló…

## References

SHOWING 1-10 OF 21 REFERENCES

### My Numbers, My Friends: Popular Lectures on Number Theory

- Mathematics
- 2000

The Fibonacci Numbers and the Arctic Ocean.- Representation of Real Numbers by Means of Fibonacci Numbers.- Prime Number Records.- Selling Primes.- Euler's Famous Prime Generating Polynomial and the…

### On Quaternions and Octonions

- Mathematics
- 2003

This book investigates the geometry of quaternion and octonion algebras. Following a comprehensive historical introduction, the book illuminates the special properties of 3- and 4-dimensional…

### On the Representations of xy + yz + ZX

- MathematicsExp. Math.
- 2000

It is shown that there are at most 19 integers that are not of the form xy + yz + xz with x, y, z ≥ 1 and the remaining possibility must be greater than 1011 and cannot occur if the Generalized Riemann Hypothesis is assumed.

### Representations of Integers as Sums of Squares

- Mathematics
- 1985

1 Preliminaries.- 1. The Problems of Representations and Their Solutions.- 2. Methods.- 3. The Contents of This Book.- 4. References.- 5. Problems.- 6. Notation.- 2 Sums of Two Squares.- 1. The One…

### An Introduction to the Theory of Numbers

- MathematicsNature
- 1946

THIS book must be welcomed most warmly into X the select class of Oxford books on pure mathematics which have reached a second edition. It obviously appeals to a large class of mathematical readers.…

### The University of Alabama at Birmingham.

- MedicineArchives of surgery
- 2002

Attention: President/Chief Operating Officer Please complete this vendor application form and return with a completed W-9 and warn: It is essential that you respond to this request.