Expressing rationals as a sum of a small number of unit fractions
Časopis pro pěstování matematiky (1980)
- Volume: 105, Issue: 4, page 345-349
- ISSN: 0528-2195
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topWebb, William A.. "Expressing rationals as a sum of a small number of unit fractions." Časopis pro pěstování matematiky 105.4 (1980): 345-349. <http://eudml.org/doc/19071>.
@article{Webb1980,
author = {Webb, William A.},
journal = {Časopis pro pěstování matematiky},
keywords = {sum of unit fractions; Farey series},
language = {eng},
number = {4},
pages = {345-349},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Expressing rationals as a sum of a small number of unit fractions},
url = {http://eudml.org/doc/19071},
volume = {105},
year = {1980},
}
TY - JOUR
AU - Webb, William A.
TI - Expressing rationals as a sum of a small number of unit fractions
JO - Časopis pro pěstování matematiky
PY - 1980
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 105
IS - 4
SP - 345
EP - 349
LA - eng
KW - sum of unit fractions; Farey series
UR - http://eudml.org/doc/19071
ER -
References
top- G. H. Hardy, E. M. Wright, An Introduction to the Theorу of Numbers, London, (1960). (1960)
- W. Sierpiński, Sur les décompositions de nombгes rationnels in fractions pгimaires, Мathesis 65, (1956), 16-32. (1956) MR0078385
- B. M. Steward, W. A. Webb, Sums of fractions with bounded numerators, Can. J. Math. 18, (1966), 999-10003. (1966) MR0199148
- W. A. Webb, On the diophantine equation k/n = a1/x1 + a2/x2 + a3/x3, Časopis Pěst. Mat., 101, (1976), 360-365. (1976) MR0444564
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