On the diophantine equation ${n \choose k} = x^l$

• Autorzy: K. Győry
• Języki publikacji: EN

Abstrakty

EN

P. 294, line 14: For “Satz 8” read “Satz 7”, and for “equation (10)” read “equation (13)”.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1997
• Tom: 80
• Numer: 3
• Strony: 289-295

Daty

wydano

1997

otrzymano

1996-11-20

Twórcy

autor

K. Győry

• Institute of Mathematics and Informatics, Kossuth Lajos University, 4010 Debrecen, Hungary

Bibliografia

• [1] M. A. Bennett and B. M. M. de Weger, On the Diophantine equation $|ax^n-by^n| = 1$, to appear.
• [2] H. Darmon and L. Merel, Winding quotients and some variants of Fermat's Last Theorem, to appear.
• [3] P. Dénes, Über die diophantische Gleichung $x^l+y^l = cz^l$, Acta Math. 88 (1952), 241-251.
• [4] L. E. Dickson, History of the Theory of Numbers, Vol. II, reprinted by Chelsea, New York, 1971.
• [5] P. Erdős, Note on the product of consecutive integers (II), J. London Math. Soc. 14 (1939), 245-249.
• [6] P. Erdős, On a diophantine equation, J. London Math. Soc. 26 (1951), 176-178.
• [7] P. Erdős and J. Surányi, Selected Topics in Number Theory, 2nd ed., Szeged, 1996 (in Hungarian).
• [8] K. Győry, On the diophantine equations ${n \choose 2} = a^l$ and ${n \choose 3} = a^l$, Mat. Lapok 14 (1963), 322-329 (in Hungarian).
• [9] K. Győry, Über die diophantische Gleichung $x^p+y^p=cz^p$, Publ. Math. Debrecen 13 (1966), 301-305.
• [10] K. Győry, 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 Erdős, 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.