On the Diophantine equation k / n = a 1 / x 1 + a 2 / x 2 + a 3 / x 3

William A. Webb

Časopis pro pěstování matematiky (1976)

  • Volume: 101, Issue: 4, page 360-365
  • ISSN: 0528-2195

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Webb, William A.. "On the Diophantine equation $k/n=a_1/x_1+a_2/x_2+a_3/x_3$." Časopis pro pěstování matematiky 101.4 (1976): 360-365. <http://eudml.org/doc/21298>.

@article{Webb1976,
author = {Webb, William A.},
journal = {Časopis pro pěstování matematiky},
language = {eng},
number = {4},
pages = {360-365},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {On the Diophantine equation $k/n=a_1/x_1+a_2/x_2+a_3/x_3$},
url = {http://eudml.org/doc/21298},
volume = {101},
year = {1976},
}

TY - JOUR
AU - Webb, William A.
TI - On the Diophantine equation $k/n=a_1/x_1+a_2/x_2+a_3/x_3$
JO - Časopis pro pěstování matematiky
PY - 1976
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 101
IS - 4
SP - 360
EP - 365
LA - eng
UR - http://eudml.org/doc/21298
ER -

References

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  1. M. N. Bteicher, A new algorithm for tћe expansion of Egyptian fractions, J. of Number Theory, 4 (1972), 342-382. (1972) MR0323696
  2. Q. M. Hardy, E. M. Wright, An Introduction to the Theory of Numbers, London, (1960). (1960) Zbl0086.25803
  3. G. Palamd, Su di una congettura di Schinzel, Boll. Un. Mat. Ital. 14 (J959), 82-94. MR0117207
  4. J. Sedláček, Über die Stammbrüche, Časopis Pěst. Mat. 84 (1959), 188-197. (1959) Zbl0088.25602MR0123504
  5. W. Sierpinski, Sur les decomponitions des nombres rationnels en fractions primaries, Mathesis, 65 (1956), 16-32. (1956) MR0078385
  6. B. M. Stewart, W. A. Webb, Sums of fractions with bounded numerators, Canadian J. Math., 18 (1969), 999-1003. (1969) Zbl0146.05401MR0199148
  7. W. A. Webb, Rationals not expressible as a sum of three unit fractions, Elemente der Math., 29 (1974), 1-6. (1974) Zbl0272.10012MR0330030

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