Kuroda's formula relates the class number of a multi-quadratic number field $K$ to the class numbers of its quadratic subfields $k_i$. A key component in this formula is the unit group index $Q(K) = [\mathcal{O}_{K}^{\times}: \prod_i\mathcal{O}_{k_i}^{\times}]$. We study how $Q(K)$ behaves on average in certain natural families of totally real biquadratic fields $K$ parametrized by prime numbers
AbstractLet F=Fq(T) be a rational function field of odd characteristic, and fix a positive integer t...
In this note I prove that the class number of Q([radical sign][Delta](x)) is infinitely often divisi...
This talk will present an effective Chebotarev theorem that holds for all but a possible zero-densit...
We study the index of the group of units in the genus field of an imaginary quadratic number field m...
We study multiquadratic real extensiosn K of Q under the assumption that for all quadratic subextens...
We study multiquadratic real extensiosn K of Q under the assumption that for all quadratic subextens...
We discuss some divisibility results of orders of K-groups and cohomology groups associated to quadr...
Let $K$ be a cyclic totally real number field of odd degree over $\mathbb{Q}$ with odd class number,...
We show that for 100\% of the odd, squarefree integers $n > 0$ the $4$-rank of $\text{Cl}(\mathbb{Q}...
AbstractLet F be a real quadratic extension of Q in which exactly one prime ramifies. Let K be a qua...
AbstractIn this note I prove that the class number of Q(√Δ(x)) is infinitely often divisible by n, w...
In [1], the authors established a method of determining the structure of the 2-Sylow subgroup of the...
summary:We study the capitulation of \mbox {$2$-ideal} classes of an infinite family of imaginary bi...
summary:We study the capitulation of \mbox {$2$-ideal} classes of an infinite family of imaginary bi...
We use a variant of Vinogradov’s method to show that the density of the set of prime numbers p ≡ −1...
AbstractLet F=Fq(T) be a rational function field of odd characteristic, and fix a positive integer t...
In this note I prove that the class number of Q([radical sign][Delta](x)) is infinitely often divisi...
This talk will present an effective Chebotarev theorem that holds for all but a possible zero-densit...
We study the index of the group of units in the genus field of an imaginary quadratic number field m...
We study multiquadratic real extensiosn K of Q under the assumption that for all quadratic subextens...
We study multiquadratic real extensiosn K of Q under the assumption that for all quadratic subextens...
We discuss some divisibility results of orders of K-groups and cohomology groups associated to quadr...
Let $K$ be a cyclic totally real number field of odd degree over $\mathbb{Q}$ with odd class number,...
We show that for 100\% of the odd, squarefree integers $n > 0$ the $4$-rank of $\text{Cl}(\mathbb{Q}...
AbstractLet F be a real quadratic extension of Q in which exactly one prime ramifies. Let K be a qua...
AbstractIn this note I prove that the class number of Q(√Δ(x)) is infinitely often divisible by n, w...
In [1], the authors established a method of determining the structure of the 2-Sylow subgroup of the...
summary:We study the capitulation of \mbox {$2$-ideal} classes of an infinite family of imaginary bi...
summary:We study the capitulation of \mbox {$2$-ideal} classes of an infinite family of imaginary bi...
We use a variant of Vinogradov’s method to show that the density of the set of prime numbers p ≡ −1...
AbstractLet F=Fq(T) be a rational function field of odd characteristic, and fix a positive integer t...
In this note I prove that the class number of Q([radical sign][Delta](x)) is infinitely often divisi...
This talk will present an effective Chebotarev theorem that holds for all but a possible zero-densit...