Wyniki wyszukiwania

1

La fonction de Brakemeier dans le probléme d'Erdős-Ginzburg-Ziv

100%

Hennecart F.

Acta Arithmetica

|

2005

|

tom 117

|

nr 1

35-50

2

Propriétés additives des suites et de leurs carrés

100%

Hennecart F.

Acta Arithmetica

|

1994

|

tom 66

|

nr 2

101-123

3

Une propriété arithmétique des bases additives. Un critère de non-base

100%

Hennecart F.

Acta Arithmetica

|

2003

|

tom 108

|

nr 2

153-166

4

Explicit constructions of extractors and expanders

64%

Hegyvári N., Hennecart F.

Acta Arithmetica

|

2009

|

tom 140

|

nr 3

233-249

5

Sums of powers: an arithmetic refinement to the probabilistic model of Erdős and Rényi

51%

Deshouillers J.-M., Hennecart F., Landreau B.

Acta Arithmetica

|

1998

|

tom 85

|

nr 1

13-33

EN

Erdős and Rényi proposed in 1960 a probabilistic model for sums of s integral sth powers. Their model leads almost surely to a positive density for sums of s pseudo sth powers, which does not reflect the case of sums of two squares. We refine their model by adding arithmetical considerations and show that our model is in accordance with a zero density for sums of two pseudo-squares and a positive density for sums of s pseudo sth powers when s ≥ 3. Moreover, our approach supports a conjecture of Hooley on the average of the square of the number of representations.

Ograniczanie wyników

5 Acta Arithmetica

5 Hennecart F.

1 Deshouillers J.-M.

1 Hegyvári N.

1 Landreau B.

1 2009

1 2005

1 2003

1 1998

1 1994

La fonction de Brakemeier dans le probléme d'Erdős-Ginzburg-Ziv

Propriétés additives des suites et de leurs carrés

Une propriété arithmétique des bases additives. Un critère de non-base

Explicit constructions of extractors and expanders

Sums of powers: an arithmetic refinement to the probabilistic model of Erdős and Rényi