On the power values of Stirling numbers

B. Brindza; Á. Pintér

B. Brindza ; Á. Pintér

Acta Arithmetica, Tome 58 (1991), p. 169-175 / Harvested from The Polish Digital Mathematics Library

Access to full text
Full (PDF)

Publié le : 1991-01-01

Zbl 0763.11008

EUDML-ID : urn:eudml:doc:206431

@article{bwmeta1.element.bwnjournal-article-aav60i2p169bwm,
     author = {B. Brindza and \'A. Pint\'er},
     title = {On the power values of Stirling numbers},
     journal = {Acta Arithmetica},
     volume = {58},
     year = {1991},
     pages = {169-175},
     zbl = {0763.11008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav60i2p169bwm}
}

B. Brindza; Á. Pintér. On the power values of Stirling numbers. Acta Arithmetica, Tome 58 (1991) pp. 169-175. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav60i2p169bwm/

Bibliographie

[000] [1] B. Brindza, On -integral solutions of the equation $y^{m} = f (x)$ , Acta Math. Hungar. 44 (1984), 133-139. | Zbl 0552.10009

[001] [2] F. T. Howard, Congruences for the Stirling numbers and associated Stirling numbers, Acta Arith. 55 (1990), 29-41. | Zbl 0648.10008

[002] [3] M. Mignotte and M. Waldschmidt, Linear forms in two logarithms and Schneider's method, II, Acta Arith. 53 (1989), 251-287. | Zbl 0642.10034

[003] [4] Á. Pintér, On some arithmetical properties of Stirling numbers, Publ. Math. Debrecen, to appear. | Zbl 0752.11008

[004] [5] G. Pólya und G. Szegö, Aufgaben und Lehrsätze aus der Analysis, Band I, Springer, Berlin 1925. | Zbl 51.0173.01

[005] [6] J. Riordan, An Introduction to Combinatorial Analysis, Wiley, New York 1958. | Zbl 0078.00805

[006] [7] A. Schinzel and R. Tijdeman, On the equation $y^{m} = P (x)$ , Acta Arith. 31 (1976), 199-204. | Zbl 0303.10016

[007] [8] T. N. Shorey and C. L. Stewart, On the diophantine equation $a x ² t + b x^{t} y + c y ² = d$ and pure powers in recurrence sequences, Math. Scand. 52 (1983), 24-36. | Zbl 0491.10016

[008] [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 | Zbl 0624.10009