# On the equation x(x+1)... (x+k-1) = y(y+d)... (y+(mk-1)d), m=1,2

N. Saradha; T.N. Shorey; R. Tijdeman

Acta Arithmetica (1995)

- Volume: 71, Issue: 2, page 181-196
- ISSN: 0065-1036

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topN. Saradha, T.N. Shorey, and R. Tijdeman. "On the equation x(x+1)... (x+k-1) = y(y+d)... (y+(mk-1)d), m=1,2." Acta Arithmetica 71.2 (1995): 181-196. <http://eudml.org/doc/206767>.

@article{N1995,

author = {N. Saradha, T.N. Shorey, R. Tijdeman},

journal = {Acta Arithmetica},

keywords = {exponential diophantine equation},

language = {eng},

number = {2},

pages = {181-196},

title = {On the equation x(x+1)... (x+k-1) = y(y+d)... (y+(mk-1)d), m=1,2},

url = {http://eudml.org/doc/206767},

volume = {71},

year = {1995},

}

TY - JOUR

AU - N. Saradha

AU - T.N. Shorey

AU - R. Tijdeman

TI - On the equation x(x+1)... (x+k-1) = y(y+d)... (y+(mk-1)d), m=1,2

JO - Acta Arithmetica

PY - 1995

VL - 71

IS - 2

SP - 181

EP - 196

LA - eng

KW - exponential diophantine equation

UR - http://eudml.org/doc/206767

ER -

## References

top- [1] A. Baker, Bounds for the solutions of the hyperelliptic equation, Proc. Cambridge Philos. Soc. 65 (1969), 439-444. Zbl0174.33803
- [2] L. E. Dickson, History of the Theory of Numbers, Vol. II, first publ. in 1919. Reprint: Chelsea, New York, 1971. Zbl47.0100.04
- [3] Ya. Gabovich, On arithmetic progressions with equal products of terms, Colloq. Math. 15 (1966), 45-48 (in Russian).
- [4] Problèmes P543 et P545, R1, Colloq. Math. 19 (1968), 179-180.
- [5] N. Saradha and T. N. Shorey, On the ratio of two blocks of consecutive integers, Proc. Indian Acad. Sci. Math. Sci. 100 (1990), 107-132. Zbl0716.11017
- [6] N. Saradha and T. N. Shorey, On the equation x(x+d₁) ... (x + (k-1)d₁) = y(y+d₂) ... (y + (mk-1)d₂), Proc. Indian Acad. Sci. Math. Sci. 104 (1994), 1-12. Zbl0798.11008
- [7] N. Saradha, T. N. Shorey and R. Tijdeman, On arithmetic progressions of equal lengths with equal products, Math. Proc. Cambridge Philos. Soc., to appear. Zbl0833.11010
- [8] T. N. Shorey and R. Tijdeman, Perfect powers in products of terms in an arithmetical progression (II), Compositio Math. 82 (1992), 119-136. Zbl0763.11015

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