AbstractIt is proved, by elementary method, that, for a given odd prime number q and a given natural number e, there are infinitely many non-Galois algebraic number fields of degree q over Q, whose class numbers are all divisible by qe
summary:Let $n>1$ be an odd integer. We prove that there are infinitely many imaginary quadratic fie...
AbstractIn this study, the class number for a hyperelliptic function field of genus g, constant fiel...
AbstractIt is shown that there exist infinitely many quadratic extensions of fields of rational func...
AbstractIt is proved, by elementary method, that, for a given odd prime number q and a given natural...
AbstractIt is proved that, for a non-Galois algebraic number field K of odd prime degree l, the clas...
In this thesis, we study some congruences on the odd prime factors of the class number of the number...
AbstractIn this note I prove that the class number of Q(√Δ(x)) is infinitely often divisible by n, w...
AbstractThe structure of ideal class groups of number fields is investigated in the following three ...
In this note I prove that the class number of Q([radical sign][Delta](x)) is infinitely often divisi...
AbstractConditions for divisibility of class numbers of algebraic number fields by prime powers are ...
AbstractLet K be a cyclic Galois extension of the rational numbers Q of degree ℓ, where ℓ is a prime...
AbstractLet K be an algebraic number field, of degree n, with a completely ramifying prime p, and le...
AbstractThe theorem presented in this paper provides a sufficient condition for the divisibility of ...
AbstractLet p be an odd regular prime number. We prove that there exist infinitely many totally real...
We adapt techniques used to investigate the divisibility of class numbers in families of algebraic n...
summary:Let $n>1$ be an odd integer. We prove that there are infinitely many imaginary quadratic fie...
AbstractIn this study, the class number for a hyperelliptic function field of genus g, constant fiel...
AbstractIt is shown that there exist infinitely many quadratic extensions of fields of rational func...
AbstractIt is proved, by elementary method, that, for a given odd prime number q and a given natural...
AbstractIt is proved that, for a non-Galois algebraic number field K of odd prime degree l, the clas...
In this thesis, we study some congruences on the odd prime factors of the class number of the number...
AbstractIn this note I prove that the class number of Q(√Δ(x)) is infinitely often divisible by n, w...
AbstractThe structure of ideal class groups of number fields is investigated in the following three ...
In this note I prove that the class number of Q([radical sign][Delta](x)) is infinitely often divisi...
AbstractConditions for divisibility of class numbers of algebraic number fields by prime powers are ...
AbstractLet K be a cyclic Galois extension of the rational numbers Q of degree ℓ, where ℓ is a prime...
AbstractLet K be an algebraic number field, of degree n, with a completely ramifying prime p, and le...
AbstractThe theorem presented in this paper provides a sufficient condition for the divisibility of ...
AbstractLet p be an odd regular prime number. We prove that there exist infinitely many totally real...
We adapt techniques used to investigate the divisibility of class numbers in families of algebraic n...
summary:Let $n>1$ be an odd integer. We prove that there are infinitely many imaginary quadratic fie...
AbstractIn this study, the class number for a hyperelliptic function field of genus g, constant fiel...
AbstractIt is shown that there exist infinitely many quadratic extensions of fields of rational func...
DOI
Add to ORKG