On A Combinatorial Problem Connected withFactorizations
On a congruence relation between Jacobi sums and cyclotomic units.
On a cyclotomic diophantine equation.
On a problem of Narkiewicz.
On a system of equations with primes
Given an integer , let be pairwise coprime integers , a family of nonempty proper subsets of with “enough” elements, and a function . Does there exist at least one prime such that divides for some , but it does not divide ? We answer this question in the positive when the are prime powers and and are subjected to certain restrictions.We use the result to prove that, if and is a set of three or more primes that contains all prime divisors of any number of the form for...
On a theorem by Kronecker.
On a theorem of Bauer and some of its applications II
On an Archimedian characterization of the circular units.
On an equation in cyclotomic numbers
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