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
Let $\{nP+Q\}_{n\geq0}$ be a sequence of points on an elliptic curve defined over a number field $K$...
AbstractThe structure rank of a matrix, i.e. the maximum order of a nonsingular submatrix all of who...
The Hilbert function of the union of n general e-fold points in the plane is maximal if n ≥ 4e² or n...
In connection with a boundedness theorem for the torsion of an elliptic curve over an algebraic numb...
AbstractA formula which connects the determinant of the Demjanenko matrix with the relative class nu...
Given a prime ℓ ≥ 3 and a positive integer k ≤ ℓ −2, one can define a matrix Dk,ℓ, the so-called Dem...
AbstractWe construct a generalization of Demjanenko's matrix for an arbitrary imaginary abelian fiel...
AbstractIn this paper we characterize, for given positive integers k and d, the class of functions f...
AbstractConjecturally, the parity of the Mordell–Weil rank of an elliptic curve over a number field ...
Let $P$ be a non-torsion point on an elliptic curve defined over a number field and consider the seq...
AbstractWe introduce a generalized Demjanenko matrix associated with an arbitrary abelian field of o...
AbstractThe following results are proved: Let A = (aij) be an n × n complex matrix, n ⩾ 2, and let k...
The \u2018positive aspects of a negative solution\u2019 (the recursive unsolvability of Hilbert\u201...
A class of prime numbers p is given for which the elliptic curve y² =x³-px has rank two. This extend...
For the class of matrices over a field, the notion of `rank of a matrix\u27 as defined by `the dimen...
Let $\{nP+Q\}_{n\geq0}$ be a sequence of points on an elliptic curve defined over a number field $K$...
AbstractThe structure rank of a matrix, i.e. the maximum order of a nonsingular submatrix all of who...
The Hilbert function of the union of n general e-fold points in the plane is maximal if n ≥ 4e² or n...
In connection with a boundedness theorem for the torsion of an elliptic curve over an algebraic numb...
AbstractA formula which connects the determinant of the Demjanenko matrix with the relative class nu...
Given a prime ℓ ≥ 3 and a positive integer k ≤ ℓ −2, one can define a matrix Dk,ℓ, the so-called Dem...
AbstractWe construct a generalization of Demjanenko's matrix for an arbitrary imaginary abelian fiel...
AbstractIn this paper we characterize, for given positive integers k and d, the class of functions f...
AbstractConjecturally, the parity of the Mordell–Weil rank of an elliptic curve over a number field ...
Let $P$ be a non-torsion point on an elliptic curve defined over a number field and consider the seq...
AbstractWe introduce a generalized Demjanenko matrix associated with an arbitrary abelian field of o...
AbstractThe following results are proved: Let A = (aij) be an n × n complex matrix, n ⩾ 2, and let k...
The \u2018positive aspects of a negative solution\u2019 (the recursive unsolvability of Hilbert\u201...
A class of prime numbers p is given for which the elliptic curve y² =x³-px has rank two. This extend...
For the class of matrices over a field, the notion of `rank of a matrix\u27 as defined by `the dimen...
Let $\{nP+Q\}_{n\geq0}$ be a sequence of points on an elliptic curve defined over a number field $K$...
AbstractThe structure rank of a matrix, i.e. the maximum order of a nonsingular submatrix all of who...
The Hilbert function of the union of n general e-fold points in the plane is maximal if n ≥ 4e² or n...
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