On certain continued fraction expansions of fixed period length
On congruence topologies in number fields.
On cyclic cubic fields.
On cyclotomic ℤ ₚ-extensions of real quadratic fields
On delta sets and their realizable subsets in Krull monoids with cyclic class groups
Let M be a commutative cancellative monoid. The set Δ(M), which consists of all positive integers which are distances between consecutive factorization lengths of elements in M, is a widely studied object in the theory of nonunique factorizations. If M is a Krull monoid with cyclic class group of order n ≥ 3, then it is well-known that Δ(M) ⊆ {1,..., n-2}. Moreover, equality holds for this containment when each class contains a prime divisor from M. In this note, we consider the question of determining...
On elliptic units and class number of a certain dihedral extension of degree 2l
On Elliptic Units and Class Number of a Certain Non-Galois Number Field.
On equation in S-units and the Thue-Mahler equation.
On equations in two S-units over function fields of characteristic 0
On explicit reciprocity laws. II.
On explicit relations between cyclotomic numbers
On index formulas of Siegel units in a ring class field
On integer solutions to x² - dy² = 1, z² - 2dy² =1
On invariants related to non-unique factorizations in block monoids and rings of algebraic integers
On Kronecker équivalence of algebraic number fields.
On K-Stage Euclidean algorithms for Galois extensions of Q.
On Minkowski units constructed by special values of Siegel modular functions
Using the special values of Siegel modular functions, we construct Minkowski units for the ray class field of modulo . Our work is based on investigating the prime decomposition of the special values and describing explicitly the action of the Galois group for the special values. Futhermore we construct the full unit group of using modular and circular units under the GRH.
On natural numbers having unique factorization in a quadratic number field, II
On power residue characters of units and the representation of numbers by quadratic forms
On relations between units of normal algebraic number fields and their subfields