On the power values of Stirling numbers

B. Brindza; Á. Pintér

Acta Arithmetica (1991)

  • Volume: 60, Issue: 2, page 169-175
  • ISSN: 0065-1036

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B. Brindza, and Á. Pintér. "On the power values of Stirling numbers." Acta Arithmetica 60.2 (1991): 169-175. <http://eudml.org/doc/206431>.

@article{B1991,
author = {B. Brindza, Á. Pintér},
journal = {Acta Arithmetica},
keywords = {exponential diophantine equation; effective finiteness results; power values of Stirling numbers of first and second kind; linear forms in logarithms},
language = {eng},
number = {2},
pages = {169-175},
title = {On the power values of Stirling numbers},
url = {http://eudml.org/doc/206431},
volume = {60},
year = {1991},
}

TY - JOUR
AU - B. Brindza
AU - Á. Pintér
TI - On the power values of Stirling numbers
JO - Acta Arithmetica
PY - 1991
VL - 60
IS - 2
SP - 169
EP - 175
LA - eng
KW - exponential diophantine equation; effective finiteness results; power values of Stirling numbers of first and second kind; linear forms in logarithms
UR - http://eudml.org/doc/206431
ER -

References

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  1. [1] B. Brindza, On -integral solutions of the equation y m = f ( x ) , Acta Math. Hungar. 44 (1984), 133-139. Zbl0552.10009
  2. [2] F. T. Howard, Congruences for the Stirling numbers and associated Stirling numbers, Acta Arith. 55 (1990), 29-41. Zbl0648.10008
  3. [3] M. Mignotte and M. Waldschmidt, Linear forms in two logarithms and Schneider's method, II, Acta Arith. 53 (1989), 251-287. Zbl0642.10034
  4. [4] Á. Pintér, On some arithmetical properties of Stirling numbers, Publ. Math. Debrecen, to appear. Zbl0752.11008
  5. [5] G. Pólya und G. Szegö, Aufgaben und Lehrsätze aus der Analysis, Band I, Springer, Berlin 1925. Zbl51.0173.01
  6. [6] J. Riordan, An Introduction to Combinatorial Analysis, Wiley, New York 1958. Zbl0078.00805
  7. [7] A. Schinzel and R. Tijdeman, On the equation y m = P ( x ) , Acta Arith. 31 (1976), 199-204. Zbl0303.10016
  8. [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. Zbl0491.10016
  9. [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 Zbl0624.10009

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