AbstractA formula which connects the determinant of the Demjanenko matrix with the relative class number of the cyclotomic field is given. A close relation between this matrix and the Hodge group of some Abelian variety is also revealed
AbstractIn connection with a question about matrix periods, it proved necessary to discuss the degre...
AbstractLet gn denote the first factor of the class number of the nth cyclotomic field. It is proved...
AbstractThe Hurwitz type relation of Iwasawa's λ−-invariants in l-extensions of CM-fields is given u...
In connection with a boundedness theorem for the torsion of an elliptic curve over an algebraic numb...
AbstractWe introduce a generalized Demjanenko matrix associated with an arbitrary abelian field of o...
AbstractLet H(l) be the first factor of the class number of the field Q(exp 2πi/l), l a prime. The b...
AbstractWe construct a generalization of Demjanenko's matrix for an arbitrary imaginary abelian fiel...
Given a prime ℓ ≥ 3 and a positive integer k ≤ ℓ −2, one can define a matrix Dk,ℓ, the so-called Dem...
summary:We give a new formula for the relative class number of an imaginary abelian number field $K$...
AbstractWith regard to the relative class number of a cyclotomic number field, the relation between ...
AbstractIn this paper, we define Demjanenko matrix in function field and express the relative ideal ...
AbstractWe show how to compute the values of h1(p), the first factor of the class number of the cycl...
AbstractConditions for divisibility of class numbers of algebraic number fields by prime powers are ...
AbstractWe study components and dimensions of higher-order determinantal varieties obtained by consi...
AbstractLet p be an odd prime. For a rational integer a, denote by R′(a) a rational integer that sat...
AbstractIn connection with a question about matrix periods, it proved necessary to discuss the degre...
AbstractLet gn denote the first factor of the class number of the nth cyclotomic field. It is proved...
AbstractThe Hurwitz type relation of Iwasawa's λ−-invariants in l-extensions of CM-fields is given u...
In connection with a boundedness theorem for the torsion of an elliptic curve over an algebraic numb...
AbstractWe introduce a generalized Demjanenko matrix associated with an arbitrary abelian field of o...
AbstractLet H(l) be the first factor of the class number of the field Q(exp 2πi/l), l a prime. The b...
AbstractWe construct a generalization of Demjanenko's matrix for an arbitrary imaginary abelian fiel...
Given a prime ℓ ≥ 3 and a positive integer k ≤ ℓ −2, one can define a matrix Dk,ℓ, the so-called Dem...
summary:We give a new formula for the relative class number of an imaginary abelian number field $K$...
AbstractWith regard to the relative class number of a cyclotomic number field, the relation between ...
AbstractIn this paper, we define Demjanenko matrix in function field and express the relative ideal ...
AbstractWe show how to compute the values of h1(p), the first factor of the class number of the cycl...
AbstractConditions for divisibility of class numbers of algebraic number fields by prime powers are ...
AbstractWe study components and dimensions of higher-order determinantal varieties obtained by consi...
AbstractLet p be an odd prime. For a rational integer a, denote by R′(a) a rational integer that sat...
AbstractIn connection with a question about matrix periods, it proved necessary to discuss the degre...
AbstractLet gn denote the first factor of the class number of the nth cyclotomic field. It is proved...
AbstractThe Hurwitz type relation of Iwasawa's λ−-invariants in l-extensions of CM-fields is given u...
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