On arithmetic progressions with equal products

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1. [1] D. W. Boyd and H. H. Kisilevsky, The diophantine equation u(u+1)(u+2)(u+3) = v(v+1)(v+2), Pacific J. Math. 40 (1972), 23-32. Zbl0207.05302
2. [2] B. Brindza, On S-integral solutions of the equation $y^m=f\left(x\right)$, Acta Math. Hungar. 44 (1984), 133-139. 
3. [3] J. W. S. Cassels, Factorization of polynomials in several variables, in: Proc. 15th Scandinavian Congress, Oslo 1968, Lecture Notes in Math. 118, Springer, 1970, 1-17. 
4. [4] A. Ehrenfeucht, A criterion for absolute irreducibility of polynomials, Prace Mat. 2 (1958), 167-169 (in Polish). 
5. [5] R. A. MacLeod and I. Barrodale, On equal products of consecutive integers, Canad. Math. Bull. 13 (1970), 255-259. Zbl0206.05602
6. [6] L. J. Mordell, On the integer solutions of y(y+1) = x(x+1)(x+2), Pacific J. Math. 13 (1963), 1347-1351. Zbl0124.27402
7. [7] T. J. Rivlin, The Chebyshev Polynomials, Wiley, New York, 1974. Zbl0299.41015
8. [8] 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
9. [9] N. Saradha and T. N. Shorey, On the equation (x+1)...(x+k) = (y+1)...(y+mk) with m = 3,4, Indag. Math. 2 (1991), 489-510. Zbl0757.11010
10. [10] N. Saradha and T. N. Shorey, On the equation (x+1)...(x+k) = (y+1)...(y+mk), Indag. Math. 3 (1992), 79-90. Zbl0757.11011
11. [11] N. Saradha and T. N. Shorey, On the equation x(x+d)...(x+(k-1)d) = y(y+d)...(y+(mk-1)d), Indag. Math. 3 (1992), 237-242. Zbl0763.11013
12. [12] 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). Zbl0763.11013
13. [13] 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
14. [14] A. Schinzel, Selected Topics on Polynomials, University of Michigan Press, Ann Arbor, 1982. 
15. [15] T. N. Shorey and R. Tijdeman, Exponential Diophantine Equations, Cambridge University Press, 1986. Zbl0606.10011

1. N. Saradha, T. N. Shorey, R. Tijdeman, On values of a polynomial at arithmetic progressions with equal products
2. N. Saradha, On blocks of arithmetic progressions with equal products
3. B. Brindza, Á. Pintér, On the irreducibility of some polynomials in two variables