Metric properties of Engel series expansions of Laurent series

Peter J. Grabner; Arnold Knopfmacher

Mathematica Slovaca (1998)

  • Volume: 48, Issue: 3, page 233-243
  • ISSN: 0139-9918

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Grabner, Peter J., and Knopfmacher, Arnold. "Metric properties of Engel series expansions of Laurent series." Mathematica Slovaca 48.3 (1998): 233-243. <http://eudml.org/doc/34474>.

@article{Grabner1998,
author = {Grabner, Peter J., Knopfmacher, Arnold},
journal = {Mathematica Slovaca},
keywords = {Engel series; Laurent series; finite field; metric result},
language = {eng},
number = {3},
pages = {233-243},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Metric properties of Engel series expansions of Laurent series},
url = {http://eudml.org/doc/34474},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Grabner, Peter J.
AU - Knopfmacher, Arnold
TI - Metric properties of Engel series expansions of Laurent series
JO - Mathematica Slovaca
PY - 1998
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 48
IS - 3
SP - 233
EP - 243
LA - eng
KW - Engel series; Laurent series; finite field; metric result
UR - http://eudml.org/doc/34474
ER -

References

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  10. KNOPFMACHER J., Ergodic properties of some inverse polynomial series expansions of Laurent series, Acta Math. Hungar. 60 (1992), 241-246. (1992) Zbl0774.11073MR1177678
  11. MAGNUS A., Certain continued fractions associated with the Padé table, Math. Z. 78 (1962), 361-374. (1962) Zbl0104.05102MR0150271
  12. MAGNUS A., p-fractions and the Pade table, Rocky Mountain J. Math. 4 (1974), 257-259. (1974) Zbl0293.41016MR0342915
  13. PAYSANT-LEROUX R.-DUBOIS E., Algorithme de Jacobi-Perron dans un corps de séries formelles, C. R. Acad. Sci. Paris Ser. A 272 (1971), 564-566. (1971) MR0285481
  14. PAYSANT-LEROUX R.-DUBOIS E., Étude metrique de l'algorithme de Jacobi-Perron dan un corps dé series formelles, C. R. Acad. Sci. Paris Sér. A 275 (1972), 683-686. (1972) MR0311582
  15. PERRON O., Irrationalzahlen, W. de Gruyter, Berlin, 1939. (1939) Zbl0022.12306MR0115985
  16. RENYI A., A new approach to the theory of Engel's series, Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 5 (1962), 25-32. (1962) MR0150123

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