Add to ORKGLet k be a number field of finite degree and k an algebraic closure of k, and let E/k be an elliptic curve which is given by the Weierstrass equation of the form y2 = f(x), where f(x) 2 k[x] is a cubic polynomial. For a subset Ξ of P1(k) (regarded as k [ f1g), we denote the set fP 2 E(k) ; x(P) 2 Ξg by x¡1(Ξ). That is
In this thesis we present the main theorems of global class field theory stated in terms of ideals a...
This dissertation presents results related to two problems in the arithmetic of elliptic curves. Let...
Gauss' class number problem is that of finding an upper bound for |D| with given class number h(D) ...
We study the ramifications in the extensions of number fields arising from an isogeny of elliptic cu...
The Hasse estimate for the number M of points on an elliptic cubic curve over a finite field of q el...
Let p be a prime number, Fpbe a finite field and let Qpdenote the set of quadratic residues in Fp. I...
Let $E$ be an elliptic curve over a number field $K$ of degree $d$ with a point of order $n$. What p...
The Hasse estimate for the number M of points on an elliptic cubic curve over a finite field of q el...
Let Q ̄ be an algebraic closure of Q, and for any prime number p, denote by Q(µp) the cyclotomic sub...
For each $t\in\mathbb{Q}\setminus\{-1,0,1\}$, define an elliptic curve over $\mathbb{Q}$ by \begin{a...
Let p be a prime number, p ? 2,3 and Fp the finite field with p elements. An elliptic curve E over F...
In elliptic curve theory, number of rational points on elliptic curves and determination of these po...
Let p be a prime number, p ? 2,3 and Fp the finite field with p elements. An elliptic curve E over F...
[[abstract]]Let D be an integer. Consider the elliptic curve E/Q :y2 = x3 + D, which has j-invariant...
Let p be a prime number, Fp be a finite field and t ∈ F*p= Fp- {0}. In this paper we obtain some pro...
In this thesis we present the main theorems of global class field theory stated in terms of ideals a...
This dissertation presents results related to two problems in the arithmetic of elliptic curves. Let...
Gauss' class number problem is that of finding an upper bound for |D| with given class number h(D) ...
We study the ramifications in the extensions of number fields arising from an isogeny of elliptic cu...
The Hasse estimate for the number M of points on an elliptic cubic curve over a finite field of q el...
Let p be a prime number, Fpbe a finite field and let Qpdenote the set of quadratic residues in Fp. I...
Let $E$ be an elliptic curve over a number field $K$ of degree $d$ with a point of order $n$. What p...
The Hasse estimate for the number M of points on an elliptic cubic curve over a finite field of q el...
Let Q ̄ be an algebraic closure of Q, and for any prime number p, denote by Q(µp) the cyclotomic sub...
For each $t\in\mathbb{Q}\setminus\{-1,0,1\}$, define an elliptic curve over $\mathbb{Q}$ by \begin{a...
Let p be a prime number, p ? 2,3 and Fp the finite field with p elements. An elliptic curve E over F...
In elliptic curve theory, number of rational points on elliptic curves and determination of these po...
Let p be a prime number, p ? 2,3 and Fp the finite field with p elements. An elliptic curve E over F...
[[abstract]]Let D be an integer. Consider the elliptic curve E/Q :y2 = x3 + D, which has j-invariant...
Let p be a prime number, Fp be a finite field and t ∈ F*p= Fp- {0}. In this paper we obtain some pro...
In this thesis we present the main theorems of global class field theory stated in terms of ideals a...
This dissertation presents results related to two problems in the arithmetic of elliptic curves. Let...
Gauss' class number problem is that of finding an upper bound for |D| with given class number h(D) ...