ArticleOriginal scientific text

Title

On the diophantine equation (xm-1)/(x-1)=yn

Authors 1, 1

Affiliations

  1. Department of Mathematics, Zhanjiang Teachers' College, P.O. Box 524048, Zhanjiang, Guangdong, P.R. China

Bibliography

  1. H. Edgar, Problems and some results concerning the diophantine equation 1+A+A²+...+Ax-1=Py, Rocky Mountain J. Math. 15 (1985), 327-329.
  2. R. K. Guy, Unsolved Problems in Number Theory, Springer, New York, 1981.
  3. K. Inkeri, On the diophantine equation axm-1x-1=yn, Acta Arith. 21 (1972), 299-311.
  4. M.-H. Le, A note on the diophantine equation xm-1x-1=yn, Acta Arith. 64 (1993), 19-28.
  5. M.-H. Le, A note on perfect powers of the form xm-1+...+x+1, Acta Arith. 69 (1995), 91-98.
  6. W. Ljunggren, Noen setninger om ubestemte likninger av formen xn-1x-1=yq, Norsk Mat. Tidsskr. 25 (1943), 17-20.
  7. R. Obláth, Une propriété des puissances parfaites, Mathesis 65 (1956), 356-364.
  8. W.-J. Shi, On K₄ simple groups, Kexue Tongbao 36 (1991), 1281-1283 (in Chinese).
  9. T. Shorey and R. Tijdeman, New applications of diophantine approximations to diophantine equations, Math. Scand. 39 (1976), 5-18.
  10. T. Shorey and R. Tijdeman, Exponential Diophantine Equations, Cambridge Univ. Press, 1986.
Pages:
363-366
Main language of publication
English
Received
1994-07-18
Accepted
1995-04-21
Published
1995
Exact and natural sciences