On the quantitative unit sum number problem-an application of the subspace theorem
On the quartic character of quadratic units.
On the strongly ambiguous classes of some biquadratic number fields
We study the capitulation of -ideal classes of an infinite family of imaginary bicyclic biquadratic number fields consisting of fields , where and are different primes. For each of the three quadratic extensions inside the absolute genus field of , we determine a fundamental system of units and then compute the capitulation kernel of . The generators of the groups and are also determined from which we deduce that is smaller than the relative genus field . Then we prove that each...
On the sum of two integral squares in quadratic fields ℚ(√±p)
On the verification of Clark's example of a euclidean but not norm-euclidean number field.
On two-primary algebraic K-theory of quadratic number rings with focus on K₂
On unit solutions of the equation xyz = x+y+z in the ring of integers of a quadratic field
On values of the Mahler measure in a quadratic field (solution of a problem of Dixon and Dubickas)
Orders of quadratic extensions of number fields