S. G. Rayaguru, D. Savin and G. K. Panda

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 25, 2019, Number 2, Pages 91-112

DOI: 10.7546/nntdm.2019.25.2.91-112

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## Details

### Authors and affiliations

S. G. Rayaguru

*Department of Mathematics, National Institute of Technology
Rourkela, India
*

D. Savin

*Ovidius University
Bd. Mamaia 124, 900527 Constanta, Romania
*

G. K. Panda

*Department of Mathematics, National Institute of Technology
Rourkela, India
*

### Abstract

Fibonacci and Lucas symbol elements are generalized to Horadam symbol elements and some properties are studied. In the last section we use these properties for to find zero divisors in symbol algebras over cyclotomic fields of finite fields.

### Keywords

- Recurrence relations
- Quaternions
- Symbol algebras

### 2010 Mathematics Subject Classification

- 11R52
- 11B37
- 11B83

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## Cite this paper

Rayaguru, S. G., Savin, D. & Panda, G. K. (2019). On some Horadam symbol elements. Notes on Number Theory and Discrete Mathematics, 25(2), 91-112, doi: 10.7546/nntdm.2019.25.2.91-112.