Sur les décompositions des nombres naturels en sommes de nombres premiers
Rozwiązanie pewnego problemu A. Schinzla
The article contains no abstract
On Sylow 2-subgroups of K2OF for quadratic number fields F.
On integers not of the form n - φ (n)
W. Sierpiński asked in 1959 (see [4], pp. 200-201, cf. [2]) whether there exist infinitely many positive integers not of the form n - φ(n), where φ is the Euler function. We answer this question in the affirmative by proving Theorem. None of the numbers (k = 1, 2,...) is of the form n - φ(n).
Prime factors of values of polynomials
We prove that for every quadratic binomial f(x) = rx² + s ∈ ℤ[x] there are pairs ⟨a,b⟩ ∈ ℕ² such that a ≠ b, f(a) and f(b) have the same prime factors and min{a,b} is arbitrarily large. We prove the same result for every monic quadratic trinomial over ℤ.
Addition of Sequences in General Fields.
On the representation of fields as finite unions of subfields
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