Wyniki wyszukiwania

1

'The mother of all continued fractions'

100%

Dajani K., Kraaikamp C.

Colloquium Mathematicum

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2000

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tom 84/85

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nr 1

109-123

EN

We give the relationship between regular continued fractions and Lehner fractions, using a procedure known as insertion}. Starting from the regular continued fraction expansion of any real irrational x, when the maximal number of insertions is applied one obtains the Lehner fraction of x. Insertions (and singularizations) show how these (and other) continued fraction expansions are related. We also investigate the relation between Lehner fractions and the Farey expansion (also known as the full continued fraction), and obtain the ergodic system underlying the Farey expansion.

2

Ergodic properties of generalized Lüroth series

81%

Barrionuevo J., Burton R., Dajani K., Kraaikamp C.

Acta Arithmetica

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1996

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tom 74

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nr 4

311-327

3

Metric and arithmetic properties of mediant-Rosen maps

81%

Kraaikamp C., Nakada H., Schmidt T.

Acta Arithmetica

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2009

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tom 137

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nr 4

295-324

4

A new class of continued fraction expansions

50%

Kraaikamp C.

Acta Arithmetica

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1991

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tom 57

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nr 1

1-39

Ograniczanie wyników

3 Acta Arithmetica

1 Colloquium Mathematicum

4 Kraaikamp C.

2 Dajani K.

1 Barrionuevo J.

1 Burton R.

1 Nakada H.

1 Schmidt T.

1 2009

1 2000

1 1996

1 1991

'The mother of all continued fractions'

Ergodic properties of generalized Lüroth series

Metric and arithmetic properties of mediant-Rosen maps

A new class of continued fraction expansions