On the diophantine equation (kn) = x1

Acta Arithmetica

Volumn 80, Issue 3, 1997, Pages 289-295

  Gyory, K ^a  

^a UNIVERSITY OF DEBRECEN   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002305426     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa-80-3-289-295     Document Type: Article

References (16)

1. n| = 1, to appear.
2. H. Darmon and L. Merel, Winding quotients and some variants of Fermat's Last Theorem, to appear.
3. 1, Acta Math. 88 (1952), 241-251.
4. L. E. Dickson, History of the Theory of Numbers, Vol. 11, reprinted by Chelsea, New York, 1971.
5. P. Erdos, Note on the product of consecutive integers (II), J. London Math. Soc. 14 (1939), 245-249.
6. _, On a diophantine equation, ibid. 26 (1951), 176-178.
7. P. Erdos and J. Surányi, Selected Topics in Number Theory, 2nd ed., Szeged, 1996 (in Hungarian).
8. 1, Mat. Lapok 14 (1963), 322-329 (in Hungarian).
9. p, Publ. Math. Debrecen 13 (1966), 301-305.
10. _, Contributions to the theory of diophantine equations, Ph.D. Thesis, Debrecen, 1966 (in Hungarian).
11. E. Landau, Vorlesungen über Zahlentheorie, III, Leipzig, 1927.
12. S. Lubelski, Studien über den grossen Fermatschen Satz, Prace Mat.-Fiz. 42 (1935), 11-44.
13. R. Obláth, Note on the binomial coefficients, J. London Math. Soc. 23 (1948), 252-253.
14. P. Ribenboim, The Little Book of Big Primes, Springer, 1991.
15. N. Terai, On a Diophantine equation of Erdos, Proc. Japan Acad. Ser. A 70 (1994), 213-217.
16. R. Tijdeman, Applications of the Gelfond-Baker method to rational number theory, in: Topics in Number Theory, North-Holland, 1976, 399-416.