On some Horadam symbol elements

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
Full paper (PDF, 249 Kb)

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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