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Cyoclotomic Numbers Of Order 2l^2 With Prime L

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arxiv 1807.07708 v2 pith:HN3WYYKH submitted 2018-07-20 math.NT

Md. Helal Ahmed , Jagmohan Tanti , Azizul Hoque This is my paper · ORCID
classification math.NT
keywords numberscyclotomicordertermsauthorsbeencertaincoefficients
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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.

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  1. Jacobi sums and cyclotomic numbers: A survey report

    math.NT 2019-06 unverdicted novelty 1.0 of 10

    This survey reviews results on diophantine systems for cyclotomic numbers and Jacobi sum coefficients and summarizes the current status of the problem.

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