Geodesic
ON THE EQUATIONx(x+d)...(x+(k-1)d)=by2
Glasgow mathematical journal, Tome 42 (2000) no. 2, pp. 255-261

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In this paper we give a new bound for the solutionsx of the title equation, provided that k \ge 8. This bound ispolynomial in d. Moreover, under the same condition, a similar bound for the numberof solutions in (x, k, y, l) is given. 
BRINDZA, B.; HAJDU, L.; RUZSA, I. Z. ON THE EQUATIONx(x+d)...(x+(k-1)d)=by2. Glasgow mathematical journal, Tome 42 (2000) no. 2, pp. 255-261. doi: 10.1017/S0017089500020115
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     title = {ON {THE} {EQUATIONx(x+d)...(x+(k-1)d)=by2}},
     journal = {Glasgow mathematical journal},
     pages = {255--261},
     year = {2000},
     volume = {42},
     number = {2},
     doi = {10.1017/S0017089500020115},
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