3 citations · 7 across the 14 of their papers we have counts for
9 papers · 1 filter
On some new families of k-Mersenne and generalized k-Gaussian Mersenne numbers and their polynomials
Munesh Kumari, Jagmohan Tanti, Kalika Prasad
In this paper, we define new generalized k-Mersenne numbers and give a formula of generalized Mersenne polynomials and further we study their properties. Moreover, we define Gaussi…
Computation of Jacobi sums of order l^2 and 2l^2 with prime l
Md. Helal Ahmed, Jagmohan Tanti, Sumant Pushp
In this paper, we present the fast computational algorithms for the Jacobi sums of orders and with odd prime by formulating them in terms of the minimum number o…
Jacobi sums and cyclotomic numbers: A survey report
Md. Helal Ahmed, Jagmohan Tanti
The determination of Jacobi sums, their congruences and cyclotomic numbers have been the object of attention for many years and there are large number of interesting results relate…
Computation of Jacobi sums and cyclotomic numbers with reduced complexity
Md Helal Ahmed, Jagmohan Tanti
Jacobi sums and cyclotomic numbers are the important objects in number theory. The determination of all the Jacobi sums and cyclotomic numbers of order are merely intricate to…
On the Diophantine equations f (x) = g(y)
S. Subburam, J. Tanti
The study of finiteness or infiniteness of integer solutions of a Diophantine equation has been considered as a standard problem in the literature. In this paper, for f(x) in Z[x]…
Complete Congruences of Jacobi sums of order 2l^2 with prime l
Md Helal Ahmed, Jagmohan Tanti
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 wi…
Cyoclotomic Numbers Of Order 2l^2 With Prime L
Md. Helal Ahmed, Jagmohan Tanti, Azizul Hoque
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 obt…
Jacobi sums of order
Md. Helal Ahmed, Jagmohan Tanti
The aim of this paper is to deal with congruences for Jacobi sums of order over a finite field , , where and…
Euler's Criterion of prime order in PID case
Jagmohan Tanti
In this paper we establish the Eulers criterion of order l (a prime) when the ring of integers in the cyclotomic extension of Q of order l is a PID. Conditions are obtained in term…