Perfect powers in products of terms in an arithmetical progression (II)

T. N. Shorey; R. Tijdeman

Compositio Mathematica (1992)

  • Volume: 82, Issue: 2, page 119-136
  • ISSN: 0010-437X

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Shorey, T. N., and Tijdeman, R.. "Perfect powers in products of terms in an arithmetical progression (II)." Compositio Mathematica 82.2 (1992): 119-136. <http://eudml.org/doc/90149>.

@article{Shorey1992,
author = {Shorey, T. N., Tijdeman, R.},
journal = {Compositio Mathematica},
keywords = {perfect powers; arithmetical progression; exponential diophantine equation; greatest prime factor; improvements of effective results; boundedness of length},
language = {eng},
number = {2},
pages = {119-136},
publisher = {Kluwer Academic Publishers},
title = {Perfect powers in products of terms in an arithmetical progression (II)},
url = {http://eudml.org/doc/90149},
volume = {82},
year = {1992},
}

TY - JOUR
AU - Shorey, T. N.
AU - Tijdeman, R.
TI - Perfect powers in products of terms in an arithmetical progression (II)
JO - Compositio Mathematica
PY - 1992
PB - Kluwer Academic Publishers
VL - 82
IS - 2
SP - 119
EP - 136
LA - eng
KW - perfect powers; arithmetical progression; exponential diophantine equation; greatest prime factor; improvements of effective results; boundedness of length
UR - http://eudml.org/doc/90149
ER -

References

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  1. [1] A. Baker: A sharpening of the bounds for linear forms in logarithms I, Acta Arith.21 (1972), 117-129. Zbl0244.10031MR302573
  2. [2] P. Dénes: Über die Diophantische Gleichung xl+yl = czl, Acta Math.88 (1952), 241-251. Zbl0048.27503MR68560
  3. [3] P. Erdös: Note on the product of consecutive integers (II), J. London Math. Soc.14 (1939), 245-249. Zbl0026.38801MR240JFM65.1145.01
  4. [4] P. Erdös and J.L. Selfridge: The product of consecutive integers is never a power, Illinois Jour. Math.19 (1975), 292-301. Zbl0295.10017MR376517
  5. [5] J.-H. Evertse:On the equation axn-byn=c, Compositio Math.47 (1982), 289-315. Zbl0498.10014MR681611
  6. [6] R. Marszalek: On the product of consecutive elements of an arithmetic progression, Monatsh. Math.100 (1985), 215-222. Zbl0582.10011MR812613
  7. [7] T.N. Shorey: Some exponential diophantine equations, in A. Baker (ed.) New Advances in Transcendence Theory, Cambridge University Press, 1988, pp. 352-365. Zbl0658.10024MR972011
  8. [8] T.N. Shorey: Some exponential diophantine equations II, Number Theory and Related Topics, Tata Institute of Fundamental Research, Bombay, 1988, pp. 217-229. Zbl0748.11022MR1441334
  9. [9] T.N. Shorey and R. Tijdeman: Perfect powers in products of terms in an arithmetical progression, Compositio Math.75 (1990), 307-344. Zbl0708.11021MR1070417
  10. [10] T.N. Shorey and R. Tijdeman: Perfect powers in arithmetical progression II, Compositio Math.82 (1992), 107-117. Zbl0763.11014MR1154163
  11. [11] Kunrui Yu: Linear forms in p-adic logarithms II, Compositio Math.74 (1990), 15-113. Zbl0723.11034MR1273651

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