Kristijan Tabak

Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132

Volume 20, 2014, Number 5, Pages 14—19

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## Details

### Authors and affiliations

Kristijan Tabak

*Rochester Institute of Technology, Zagreb Campus
D. T. Gavrana 15, 10000 Zagreb, Croatia
*

### Abstract

Using pairwise abbreviation and simple characterization of zero-sums over ℤ[ε]; where ε is root of unity of order 2* ^{n}*, we manage to prove that a norm of a sum of any four mutually different roots has to be different that 2.

### Keywords

- Norm invariance.
- Group ring.
- Pairwise abbreviation.

### AMS Classification

- 11S05
- 11T06

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## Cite this paper

APATabak, K. (2014). The four roots lemma. Notes on Number Theory and Discrete Mathematics, 20(5), 14-19.

ChicagoTabak, Kristijan. “The Four Roots Lemma.” Notes on Number Theory and Discrete Mathematics 20, no. 5 (2014): 14-19.

MLATabak, Kristijan. “The Four Roots Lemma.” Notes on Number Theory and Discrete Mathematics 20.5 (2014): 14-19. Print.