On a problem of Frobenius.
On a problem of Frobenius.
On a problem of Frobenius for an almost consecutive set of integers.
On a problem of Fujii concerning Riemann's -function.
On a problem of Győry and Schinzel concerning polynomials
On a problem of Hardy and Littlewood
On a problem of K. F. Roth concerning irregularities of point distribution.
On a problem of Konyagin
On a problem of Narkiewicz.
On a problem of Narkiewicz concerning uniform distributions of sequences of integers
On a problem of P. Erdos and S. Stein
On a problem of Pillai and its generalizations
On a problem of R. C. Baker
On a problem of R.L.Graham
On a problem of Ryškov concerning lattice coverings
On a problem of Schinzel concerning principal divisors in arithmetic progressions
On a problem of Sidon for polynomials over finite fields
Let ω be a sequence of positive integers. Given a positive integer n, we define rₙ(ω) = |(a,b) ∈ ℕ × ℕ : a,b ∈ ω, a+b = n, 0 < a < b|. S. Sidon conjectured that there exists a sequence ω such that rₙ(ω) > 0 for all n sufficiently large and, for all ϵ > 0, . P. Erdős proved this conjecture by showing the existence of a sequence ω of positive integers such that log n ≪ rₙ(ω) ≪ log n. In this paper, we prove an analogue of this conjecture in , where is a finite field of q elements....
On a problem of Sierpiński
On a problem of Sierpiński
On a problem of Steinhaus concerning binary sequences.