arXiv subjects

Md Helal Ahmed

Publications and source records attributed to Md Helal Ahmed.

2 recordsLinked to original sources

arXiv2019

Complete Congruences of Jacobi sums of order 2l^2 with prime l

The congruences for Jacobi sums of some lower orders has been treated by many authors in the literature. In this paper we establish the congruences for Jacobi sums of order 2l^2 with odd prime l. These congruences are useful to obtain algebraic and arithmetic characterizations for Jacobi sums of order 2l^2 .

math.NT↗

arXiv2019

Computation of Jacobi sums and cyclotomic numbers with reduced complexity

Jacobi sums and cyclotomic numbers are the important objects in number theory. The determination of all the Jacobi sums and cyclotomic numbers of order $e$ are merely intricate to compute. This paper presents the lesser numbers of Jacobi sums and cyclotomic numbers which are enough for the determination of all Jacobi sums and the cyclotomic numbers of a particular order.

math.NT↗