On unit equations with rational coefficients
On unit fractions with denominators in short intervals
On unit solutions of the equation xyz = x+y+z in the ring of integers of a quadratic field
On unit solutions of the equation xyz=x+y+z in a number field with unit group of rank 1
On unitary representations of Jacobi groups.
On units and fundamental units.
On units of some fields of the form
Let and be two prime integers and let be a positive odd square-free integer. Assuming that the fundamental unit of has a negative norm, we investigate the unit group of the fields .
On universal binary Hermitian forms.
On universal forms in finite fields
On unlikely intersections of complex varieties with tori
On Unramified Galois Extensions Over Maximum Abelian Extensions of Algebraic Number Fields.
On upper triangular nonnegative matrices
We first investigate factorizations of elements of the semigroup of upper triangular matrices with nonnegative entries and nonzero determinant, provide a formula for , and, given , also provide formulas for , and . As a consequence, open problem 2 and problem 4 presented in N. Baeth et al. (2011), are partly answered. Secondly, we study the semigroup of upper triangular matrices with only positive integral entries, compute some invariants of such semigroup, and also partly answer open Problem...
On useful schema in survival analysis after heart attack
Recent model of lifetime after a heart attack involves some integer coefficients. Our goal is to get these coefficients in simple way and transparent form. To this aim we construct a schema according to a rule which combines the ideas used in the Pascal triangle and the generalized Fibonacci and Lucas numbers
On valued function fields II. Regular functions and elements with the uniqueness property.
On value-relations, functional relations and singularities of Mordell-Tornheim and related triple zeta-functions
On values of a modular form on Γ₀(N)
On values of a polynomial at arithmetic progressions with equal products
On values of L-functions of totally real algebraic number fields at integers
On values of the Mahler measure in a quadratic field (solution of a problem of Dixon and Dubickas)
On Values of Zeta Functions and ?-adic Euler Characteristc.