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Rozwiązanie pewnego problemu A. Schinzla

100%

Browkin J.

Commentationes Mathematicae

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1959

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tom 3

|

nr 1

EN

The article contains no abstract

2

Prime factors of values of polynomials

64%

Browkin J., Schinzel A.

Colloquium Mathematicum

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2011

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tom 122

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nr 1

135-138

EN

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.

3

On integers not of the form n - φ (n)

64%

Browkin J., Schinzel A.

Colloquium Mathematicum

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1995

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tom 68

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nr 1

55-58

EN

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 $2^k·509203$ (k = 1, 2,...) is of the form n - φ(n).

4

On the representation of fields as finite unions of subfields

45%

Białynicki-Birula A., Browkin J., Schinzel A.

Colloquium Mathematicum

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1959-1960

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tom 7

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nr 1

31-32

5

Sur les décompositions des nombres naturels en sommes de nombres premiers

44%

Browkin J.

Colloquium Mathematicum

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1957-1958

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tom 5

|

nr 2

205-207

Ograniczanie wyników

4 Colloquium Mathematicum

1 Commentationes Mathematicae

5 Browkin J.

3 Schinzel A.

1 Białynicki-Birula A.

1 2011

1 1995

2 1959

1 1958

Rozwiązanie pewnego problemu A. Schinzla

Prime factors of values of polynomials

On integers not of the form n - φ (n)

On the representation of fields as finite unions of subfields

Sur les décompositions des nombres naturels en sommes de nombres premiers