Wyniki wyszukiwania

1

Representations of multivariate polynomials by sums of univariate polynomials in linear forms

100%

Białynicki-Birula A., Schinzel A.

Colloquium Mathematicum

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2008

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tom 112

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nr 2

201-233

EN

The paper is concentrated on two issues: presentation of a multivariate polynomial over a field K, not necessarily algebraically closed, as a sum of univariate polynomials in linear forms defined over K, and presentation of a form, in particular a zero form, as the sum of powers of linear forms projectively distinct defined over an algebraically closed field. An upper bound on the number of summands in presentations of all (not only generic) polynomials and forms of a given number of variables and degree is given. Also some special cases of these problems are studied.

2

Corrigendum to "Representatons of multivariate polynomials by sums of univariate polynomials in linear forms" (Colloq. Math. 112 (2008), 201-233)

100%

Białynicki-Birula A., Schinzel A.

Colloquium Mathematicum

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2011

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tom 125

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nr 1

3

On the representation of fields as finite unions of subfields

70%

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

4

On the topological structure of infinite Galois groups

70%

Białynicki-Birula A.

Fundamenta Mathematicae

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1957

|

tom 44

|

nr 1

72-74

5

On the spaces of ideals of semirings

60%

Białynicki-Birula A.

Fundamenta Mathematicae

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1958

|

tom 45

|

nr 1

254-260

6

On Vietoris mapping theorem and its inverse

60%

Białynicki-Birula A.

Fundamenta Mathematicae

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1964

|

tom 53

|

nr 2

135-145

Ograniczanie wyników

3 Colloquium Mathematicum

3 Fundamenta Mathematicae

6 Białynicki-Birula A.

3 Schinzel A.

1 Browkin J.

1 2011

1 2008

1 1964

1 1959

1 1958

1 1957

Representations of multivariate polynomials by sums of univariate polynomials in linear forms

Corrigendum to "Representatons of multivariate polynomials by sums of univariate polynomials in linear forms" (Colloq. Math. 112 (2008), 201-233)

On the representation of fields as finite unions of subfields

On the topological structure of infinite Galois groups

On the spaces of ideals of semirings

On Vietoris mapping theorem and its inverse