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

Compositio Mathematica (1992)

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

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topShorey, 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

top- [1] A. Baker: A sharpening of the bounds for linear forms in logarithms I, Acta Arith.21 (1972), 117-129. Zbl0244.10031MR302573
- [2] P. Dénes: Über die Diophantische Gleichung xl+yl = czl, Acta Math.88 (1952), 241-251. Zbl0048.27503MR68560
- [3] P. Erdös: Note on the product of consecutive integers (II), J. London Math. Soc.14 (1939), 245-249. Zbl0026.38801MR240JFM65.1145.01
- [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] J.-H. Evertse:On the equation axn-byn=c, Compositio Math.47 (1982), 289-315. Zbl0498.10014MR681611
- [6] R. Marszalek: On the product of consecutive elements of an arithmetic progression, Monatsh. Math.100 (1985), 215-222. Zbl0582.10011MR812613
- [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] 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] 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] T.N. Shorey and R. Tijdeman: Perfect powers in arithmetical progression II, Compositio Math.82 (1992), 107-117. Zbl0763.11014MR1154163
- [11] Kunrui Yu: Linear forms in p-adic logarithms II, Compositio Math.74 (1990), 15-113. Zbl0723.11034MR1273651

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