Cyoclotomic Numbers Of Order 2l^2 With Prime L
Number Theory
2018-08-27 v2
Abstract
The problem of determining cyclotomic numbers in terms of the solutions of certain Diophantine systems has been treated by many authors since the age of Gauss. In this paper we obtain an explicit expression for cyclotomic numbers of order 2l^2 in terms of the coefficients of the Jacobi sums of lower orders. At the end, we illustrate the nature of two matrices corresponding to two types of cyclotomic numbers.
Cite
@article{arxiv.1807.07708,
title = {Cyoclotomic Numbers Of Order 2l^2 With Prime L},
author = {Md. Helal Ahmed and Jagmohan Tanti and Azizul Hoque},
journal= {arXiv preprint arXiv:1807.07708},
year = {2018}
}
Comments
Communicated to a Journal for consideration