Add to ORKGLet Q be the rational numbers. For an algebraic number field k of finite degree, C(k) and h(k) denote the ideal class group and the class number of k, respectively. Let exp(C(k)) be the exponent of C(k). As for the class number of certain real quadratic field k, H. Yokoi [9], using the fundamental unit ε> 1 of k, proved the following theorem
Abstract. Divisibility properties of class numbers is very important to know the structure of ideal ...
AbstractFocusing on a particular case, we will show that one can explicitly determine the quartic fi...
The class number problem is one of the central open problems of algebraic number theory. It has long...
AbstractIn this paper, we introduce a notion of the bound function. Using this function, we provide ...
AbstractIn this paper, we introduce a notion of the bound function. Using this function, we provide ...
There is considerable interest in how large the fundamental units of real quadratic fields may be. F...
The ideal class group problem is one of the very interesting problems in algebraic number theory. In...
The ideal class group problem is one of the very interesting problems in algebraic number theory. In...
summary:Let $d$ be a square-free positive integer and $h(d)$ be the class number of the real quadrat...
AbstractIn this work we establish an effective lower bound for the class number of the family of rea...
summary:Let $n>1$ be an odd integer. We prove that there are infinitely many imaginary quadratic fie...
Minor corrections and new numerical resultsWe use the polynomials m_s(t) = t^2 − 4s, s ∈ {−1, 1}, in...
Class numbers of algebraic number fields are central invariants. Once the underlying field has an in...
summary:Let $n>1$ be an odd integer. We prove that there are infinitely many imaginary quadratic fie...
Class numbers of algebraic number fields are central invariants. Once the underlying field has an in...
Abstract. Divisibility properties of class numbers is very important to know the structure of ideal ...
AbstractFocusing on a particular case, we will show that one can explicitly determine the quartic fi...
The class number problem is one of the central open problems of algebraic number theory. It has long...
AbstractIn this paper, we introduce a notion of the bound function. Using this function, we provide ...
AbstractIn this paper, we introduce a notion of the bound function. Using this function, we provide ...
There is considerable interest in how large the fundamental units of real quadratic fields may be. F...
The ideal class group problem is one of the very interesting problems in algebraic number theory. In...
The ideal class group problem is one of the very interesting problems in algebraic number theory. In...
summary:Let $d$ be a square-free positive integer and $h(d)$ be the class number of the real quadrat...
AbstractIn this work we establish an effective lower bound for the class number of the family of rea...
summary:Let $n>1$ be an odd integer. We prove that there are infinitely many imaginary quadratic fie...
Minor corrections and new numerical resultsWe use the polynomials m_s(t) = t^2 − 4s, s ∈ {−1, 1}, in...
Class numbers of algebraic number fields are central invariants. Once the underlying field has an in...
summary:Let $n>1$ be an odd integer. We prove that there are infinitely many imaginary quadratic fie...
Class numbers of algebraic number fields are central invariants. Once the underlying field has an in...
Abstract. Divisibility properties of class numbers is very important to know the structure of ideal ...
AbstractFocusing on a particular case, we will show that one can explicitly determine the quartic fi...
The class number problem is one of the central open problems of algebraic number theory. It has long...