In connection with a boundedness theorem for the torsion of an elliptic curve over an algebraic number field, one encounters the question about the rank of a certain matrix DA = DA(p) over if, the so-called Demjanenko matrix, which depends only on a fixed prime p ⩾ 5 and a given subsetWe derive a lower estimate for the rank of DA and pose the problem of determining the exact rank of DA
summary:A conjecture due to Honda predicts that given any abelian variety over a number field $K$, a...
AbstractFor a global field K and an elliptic curve Eη over K(T), Silverman's specialization theorem ...
We obtain lower bounds for Selmer ranks of elliptic curves over dihedral extensions of number fields...
In connection with a boundedness theorem for the torsion of an elliptic curve over an algebraic numb...
Given a prime ℓ ≥ 3 and a positive integer k ≤ ℓ −2, one can define a matrix Dk,ℓ, the so-called Dem...
For the class of matrices over a field, the notion of `rank of a matrix\u27 as defined by `the dimen...
AbstractConjecturally, the parity of the Mordell–Weil rank of an elliptic curve over a number field ...
AbstractA formula which connects the determinant of the Demjanenko matrix with the relative class nu...
AbstractThe following results are proved: Let A = (aij) be an n × n complex matrix, n ⩾ 2, and let k...
Shioda described a method to compute the Lefschetz number of a Delsarte surface. In one of his examp...
Let E be an elliptic curve over Q. Then, we show that the average analytic rank of E over cyclic ext...
Abstract. The rank of the matrix multiplication operator for n×n matrices is one of the most studied...
AbstractWe introduce a generalized Demjanenko matrix associated with an arbitrary abelian field of o...
Abstract. The main aim of this paper is to put a lower bound on the rank of elliptic curves from the...
AbstractFix a finite field k, a positive integer d relatively prime to the characteristic of k, and ...
summary:A conjecture due to Honda predicts that given any abelian variety over a number field $K$, a...
AbstractFor a global field K and an elliptic curve Eη over K(T), Silverman's specialization theorem ...
We obtain lower bounds for Selmer ranks of elliptic curves over dihedral extensions of number fields...
In connection with a boundedness theorem for the torsion of an elliptic curve over an algebraic numb...
Given a prime ℓ ≥ 3 and a positive integer k ≤ ℓ −2, one can define a matrix Dk,ℓ, the so-called Dem...
For the class of matrices over a field, the notion of `rank of a matrix\u27 as defined by `the dimen...
AbstractConjecturally, the parity of the Mordell–Weil rank of an elliptic curve over a number field ...
AbstractA formula which connects the determinant of the Demjanenko matrix with the relative class nu...
AbstractThe following results are proved: Let A = (aij) be an n × n complex matrix, n ⩾ 2, and let k...
Shioda described a method to compute the Lefschetz number of a Delsarte surface. In one of his examp...
Let E be an elliptic curve over Q. Then, we show that the average analytic rank of E over cyclic ext...
Abstract. The rank of the matrix multiplication operator for n×n matrices is one of the most studied...
AbstractWe introduce a generalized Demjanenko matrix associated with an arbitrary abelian field of o...
Abstract. The main aim of this paper is to put a lower bound on the rank of elliptic curves from the...
AbstractFix a finite field k, a positive integer d relatively prime to the characteristic of k, and ...
summary:A conjecture due to Honda predicts that given any abelian variety over a number field $K$, a...
AbstractFor a global field K and an elliptic curve Eη over K(T), Silverman's specialization theorem ...
We obtain lower bounds for Selmer ranks of elliptic curves over dihedral extensions of number fields...
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