On the power values of Stirling numbers

• Autorzy: B. Brindza , Á. Pintér
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1991-1992
• Tom: 60
• Numer: 2
• Strony: 169-175

Daty

wydano

1991

otrzymano

1990-10-09

poprawiono

1991-01-02

Twórcy

autor

B. Brindza

• Mathematical Institute, Kossuth Lajos University, H-4010 Debrecen, Hungary

autor

Á. Pintér

• Mathematical Institute, Kossuth Lajos University, H-4010 Debrecen, Hungary

Bibliografia

• [1] B. Brindza, On 𝓢-integral solutions of the equation $y^m = f(x)$, Acta Math. Hungar. 44 (1984), 133-139.
• [2] F. T. Howard, Congruences for the Stirling numbers and associated Stirling numbers, Acta Arith. 55 (1990), 29-41.
• [3] M. Mignotte and M. Waldschmidt, Linear forms in two logarithms and Schneider's method, II, Acta Arith. 53 (1989), 251-287.
• [4] Á. Pintér, On some arithmetical properties of Stirling numbers, Publ. Math. Debrecen, to appear.
• [5] G. Pólya und G. Szegö, Aufgaben und Lehrsätze aus der Analysis, Band I, Springer, Berlin 1925.
• [6] J. Riordan, An Introduction to Combinatorial Analysis, Wiley, New York 1958.
• [7] A. Schinzel and R. Tijdeman, On the equation $y^m = P(x)$, Acta Arith. 31 (1976), 199-204.
• [8] T. N. Shorey and C. L. Stewart, On the diophantine equation $ax²t + bx^ty + cy² = d$ and pure powers in recurrence sequences, Math. Scand. 52 (1983), 24-36.
• [9] T. N. Shorey and C. L. Stewart, Pure powers in recurrence sequences and some related diophantine equations, J. Number Theory 27 (1987), 324-352