On the main cojecture of Iwasawa theory for imaginary quadratic fields.
On the non-triviality of the basic Iwasawa λ-invariant for an infinitude of imaginary quadratic fields
On the number of representations of a positive integer by a binary quadratic form
On the Pellian equation and the class number of indefinite binary quadratic forms.
On the prime density of Lucas sequences
The density of primes dividing at least one term of the Lucas sequence , defined by and for , with an arbitrary integer, is determined.
On the quadratic character of some quadratic surds.
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
-адические ряды Гекке мнимых квадратичных полей
Parameterized families of quadratic number fields with 3-rank at least 2
Parametric form of an eight class field
Partitions and indefinite quadratic forms.
Periodic expansions and units in quadratic and cubic number fields.