Add to ORKGThis paper begins with the definition of an elliptic curve. We define the group law on elliptic curves and discuss methods for finding points on elliptic curves. We discuss torsion points and the use of division polynomials to calculate them. We investigate different bounds on torsion points and discuss the Prasad-Yogananda Conjecture. We empirically examine the coefficient in the Prasad-Yogananda Conjecture
In the thesis we study the elliptic curves and its use in cryptography. Elliptic curvesencompasses a...
In the thesis we study the elliptic curves and its use in cryptography. Elliptic curvesencompasses a...
The basics of the theory of elliptic curves should be known to everybody, be he (or she) a mathemati...
We present various published and unpublished results on elliptic curves. In particular, we focus on ...
We present various published and unpublished results on elliptic curves. In particular, we focus on ...
The study of elliptic curves grows out of the study of elliptic functions which dates back to work d...
We give new bounds for the number of integral points on elliptic curves. The method may be said to i...
The study of elliptic curves grows out of the study of elliptic functions which dates back to work d...
This thesis concerns with rational points on elliptic curves. By the Mordell theorem we know that th...
Abstract. An elliptic curve is a specific type of algebraic curve on which one may impose the struct...
This paper begins with a brief discussion of algebraic geometry. Elliptic\ud curves are algebraic va...
The determination of which finite abelian groups can occur as the torsion subgroup of an elliptic cu...
Abstract. Let E be an elliptic curve over a ¯nite ¯eld K = Fq, and n 6= char(K) a prime. Then the ¯e...
AbstractA uniform bound is given for the order of the torsion subgroup of E(K), the group of K-ratio...
In the thesis we study the elliptic curves and its use in cryptography. Elliptic curvesencompasses a...
In the thesis we study the elliptic curves and its use in cryptography. Elliptic curvesencompasses a...
In the thesis we study the elliptic curves and its use in cryptography. Elliptic curvesencompasses a...
The basics of the theory of elliptic curves should be known to everybody, be he (or she) a mathemati...
We present various published and unpublished results on elliptic curves. In particular, we focus on ...
We present various published and unpublished results on elliptic curves. In particular, we focus on ...
The study of elliptic curves grows out of the study of elliptic functions which dates back to work d...
We give new bounds for the number of integral points on elliptic curves. The method may be said to i...
The study of elliptic curves grows out of the study of elliptic functions which dates back to work d...
This thesis concerns with rational points on elliptic curves. By the Mordell theorem we know that th...
Abstract. An elliptic curve is a specific type of algebraic curve on which one may impose the struct...
This paper begins with a brief discussion of algebraic geometry. Elliptic\ud curves are algebraic va...
The determination of which finite abelian groups can occur as the torsion subgroup of an elliptic cu...
Abstract. Let E be an elliptic curve over a ¯nite ¯eld K = Fq, and n 6= char(K) a prime. Then the ¯e...
AbstractA uniform bound is given for the order of the torsion subgroup of E(K), the group of K-ratio...
In the thesis we study the elliptic curves and its use in cryptography. Elliptic curvesencompasses a...
In the thesis we study the elliptic curves and its use in cryptography. Elliptic curvesencompasses a...
In the thesis we study the elliptic curves and its use in cryptography. Elliptic curvesencompasses a...
The basics of the theory of elliptic curves should be known to everybody, be he (or she) a mathemati...