A. Vijayalakshmi

collaborators

3 papers

math.NT2021

A note on balancing sequences and application to cryptography

K. Anitha, I. Mumtaj Fathima, A R Vijayalakshmi

In this paper, we prove the lower bound for the number of balancing non-Wieferich primes in arithmetic progressions. More precisely, for any given integer $r \geq 2$ there are $\gg\l…

math.NT2021

Some new results on negative polynomial Pell's equation

K. Anitha, I. Mumtaj Fathima, A R Vijayalakshmi

We consider the negative polynomial Pell's equation $P^{2} (X) - D (X) Q^{2} (X) = - 1$ , where $D (X) \in Z [X]$ be some fixed, monic, square-free, even degree polynomials. In this paper,…

math.NT2021

Lucas non-Wieferich primes in arithmetic progressions and the $ab c$ conjecture

K. Anitha, I. Mumtaj Fathima, A R Vijayalakshmi

We prove the lower bound for the number of Lucas non-Wieferich primes in arithmetic progressions. More precisely, for any given integer $k \geq 2$ there are $≫ lo g x$ Lucas non-W…

A note on balancing sequences and application to cryptography

Some new results on negative polynomial Pell's equation

Lucas non-Wieferich primes in arithmetic progressions and the abc conjecture

Lucas non-Wieferich primes in arithmetic progressions and the $ab c$ conjecture