On the intervals between numbers that are sums of two squares: IV.
On the ...-invariant for quadratics forms and the linkage of cyclic algebras.
On the invariant measure for Jacobi-Perron algorithm.
On the ?-invariant of the ?-transform of a rational function.
On the invariants of the Hecke groups
On the irrationality measure of
We prove that 7. 398 537 is an irrationality measure of . We employ double integrals of suitable rational functions invariant under a group of birational transformations of . The numerical results are obtained with the aid of a semi-infinite linear programming method.
On the irrationality of a divisor function series.
On the irrationality of factorial series
On the irrationality of polynomial Cantor series
On the irreducibility of 0,1-polynomials of the form f(x)xⁿ + g(x)
If f(x) and g(x) are relatively prime polynomials in ℤ[x] satisfying certain conditions arising from a theorem of Capelli and if n is an integer > N for some sufficiently large N, then the non-reciprocal part of f(x)xⁿ + g(x) is either identically ±1 or is irreducible over the rationals. This result follows from work of Schinzel in 1965. We show here that under the conditions that f(x) and g(x) are relatively prime 0,1-polynomials (so each coefficient is either 0 or 1) and f(0) = g(0) = 1, one...
On the irreducibility of -quadrinomials.
On the irreducibility of a class of polynomials, IV
On the irreducibility of neighbouring polynomials
On the Irreducibility of Polynomials Taking Small Values.
On the irreducibility of some polynomials in two variables
On the irreducibility of the generalized Laguerre polynomials
On the irreducible factors of a polynomial over a valued field
We explicitly provide numbers , such that each irreducible factor of a polynomial with integer coefficients has a degree greater than or equal to and can have at most irreducible factors over the field of rational numbers. Moreover, we prove our result in a more general setup for polynomials with coefficients from the valuation ring of an arbitrary valued field.
On the irregularity of the distribution of the sums of pairs of odd primes.
On the isomorphisms of the projective orthogonal groups and their congruence subgroups.
On the iterates of the sum of exponential divisors.