Continued fractions as sums of unit fractions
Carsten Elsner; Jürgen W. Sander; Jörn Steuding
Mathematica Slovaca (2001)
- Volume: 51, Issue: 3, page 281-293
- ISSN: 0139-9918
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topElsner, Carsten, Sander, Jürgen W., and Steuding, Jörn. "Kettenbrüche als Summen ebensolcher." Mathematica Slovaca 51.3 (2001): 281-293. <http://eudml.org/doc/34539>.
@article{Elsner2001,
author = {Elsner, Carsten, Sander, Jürgen W., Steuding, Jörn},
journal = {Mathematica Slovaca},
keywords = {continued fraction; Egyptian fraction; Erdős-Straus conjecture},
language = {ger},
number = {3},
pages = {281-293},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Kettenbrüche als Summen ebensolcher},
url = {http://eudml.org/doc/34539},
volume = {51},
year = {2001},
}
TY - JOUR
AU - Elsner, Carsten
AU - Sander, Jürgen W.
AU - Steuding, Jörn
TI - Kettenbrüche als Summen ebensolcher
JO - Mathematica Slovaca
PY - 2001
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 51
IS - 3
SP - 281
EP - 293
LA - ger
KW - continued fraction; Egyptian fraction; Erdős-Straus conjecture
UR - http://eudml.org/doc/34539
ER -
References
top- BLEICHER M. N., A new algorithm for the expansion of Egyptian fractions, J. Number Theory 4 (1972), 342-382. (1972) Zbl0243.10024MR0323696
- BLUMER F., Über das Wachstum der Näherungsnenner halbregelmäßiger Kettenbrüche, Comment. Math. Helv. 10 (1937), 97-109. (1937) Zbl0018.00801MR1509569
- GUY R. K., Unsolved Problems in Number Theory, (2nd ed.), Springer, New York-Beгlin-Heidelberg, 1994. (1994) Zbl0805.11001MR1299330
- PERRON O., Die Lehre von den Kettenbrüchen, , Teubner, Leipzig, 1929. (1929)
- RIEGER G. J., Sums of unit fractions having long continued fractions, Fibonacci Quart. 31 (1993), 338-340. (1993) Zbl0786.11005MR1240622
- RIEGER G. J., "Teeraum" conversation
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