In this work, we study elliptic divisibility sequences over finite fields. Morgan Ward in [14], [15] gave arithmetic theory of elliptic divisibility sequences and formulas for elliptic divisibilityâ€¦ (More)

Let p â‰¥ 5 be a prime number and let Fp be a finite field. In this work, we determine the number of rational points on singular curves Ea : y = x(x âˆ’ a) over Fp for some specific values of a.â€¦ (More)

In elliptic curve theory, number of rational points on elliptic curves and determination of these points is a fairly important problem. Let p be a prime and Fp be a finite field and k âˆˆ Fp. It isâ€¦ (More)

The number of representations of positive integers by quadratic forms F 1 = x 2 1 + x 1 x 2 + 12x 2 2 and G 1 = 3x 2 1 + x 1 x 2 + 4x 2 2 of discriminant âˆ’47 are given. Moreover, a basis for the

We consider some properties of indefinite binary quadratic forms F (x, y) = ax +bxyâˆ’y of discriminant âˆ† = b +4a, and quadratic ideals I = [a, bâˆ’âˆšâˆ† ]. AMS Mathematics Subject Classification (2000):â€¦ (More)

In this paper we consider elliptic curves, conics and cubic congruences over finite fields associated with indefinite binary quadratic forms Fi in the proper cycle of F = (1, 7,âˆ’6). We determine theâ€¦ (More)

In this paper some properties of covering space and the automorphism group of the covering space are obtained. Mathematics Subject Classification: 55E17

Let p be a prime number, Fp be a finite field and t âˆˆ Fp = Fp âˆ’ {0}. In this paper we obtain some properties of elliptic curves Ep,t : y = y = x âˆ’ tx over Fp. In the first section we give someâ€¦ (More)

Let k, t, d be arbitrary integers with k â‰¥ 2, t â‰¥ 0 and d = k âˆ’ k. In the first section we give some preliminaries from Pell equations x âˆ’ dy = 1 and x âˆ’ dy = N , where N be any fixed positiveâ€¦ (More)