REFERENCES
A. Baker, Bounds for solutions of superelliptic equations, Proc. Cambridge Phil. Soc. 65 (1969), 439–444.
Yu. F. BILU, B. Brindza, Á. Pintér and R. F. Tichy, Equating power sums to products of consecutive integers, in preparation.
Yu. F. Bilu and R. F. Tichy, The Diophantine equation f(x) = g(y), Acta Arith., to appear.
H. Davenport, D. J. Lewis and A. Schinzel, Equations of the form f(x) = g(y), Quat. J. Math. Oxford 12 (1961), 304–312.
A. Dujella and R. F. Tichy, Diophantine equations for second order recursive sequences of polynomials, submitted.
W. Feit, On symmetric balanced incomplete block designs with doubly transitive automorphism groups, J. Combin. Th. (A) 14 (1973), 221–247.
W. Feit, Some consequences of the classification of finite simple groups, Proc. Symp. Pure Math. 37 (1980), 175–181.
M. Fried, On a theorem of Ritt and related Diophantine problems, J. reine angew. Math. 264 (1974), 40–55.
L. Hajdu, On a Diophantine equation concerning the number of integer points in speciald omains, Acta Math. Hungar. 78 (1998), 59–70.
L. Hajdu, On a Diophantine equation concerning the number of integer points in speciald omains II, Publ. Math. Debrecen 51 (1997), 331–342.
P. Kirschenhofer, A. Pethő and R. F. Tichy, On analytical and Diophantine properties of a family of counting polynomials, Acta Sci. Math. (Szeged), 65 (1999), no. 1–2, 47–59.
S. Lang, Fundamentals of Diophantine Geometry, Springer, 1983.
J. Meixner, Orthogonale Polynomsysteme mit einer besonderen Gestalt der erzeugenden Funktion, J. London Math. Soc., 9 (1934), 6–13.
J. B. Rosser, L. Schoenfeld, Approximate formulas for some functions of prime numbers, Illinois J. Math. 6 (1962), 64–94.
A. Schinzel, Selected Topics on Polynomials, The University of Michigan Press, Ann Arbor, 1983.
J.-P. Serre, Lectures on the Mordell-Weil Theorem, Aspects of Math. E15, Vieweg, Braunschweig, 1989.
C. L. Siegel, The integer solutions of the equation y 2 = ax n + bx n1 + ⋯ + k, J. London Math. Soc., 1 (1926), 66–68; Ges. Abh., Band 1, 207-208.
C. L. Siegel, Über einige Anwendungen Diophantischer Approximationen, Abh. Preuss Akad. Wiss. Phys.-Math. Kl., 1929, Nr. 1; Ges. Abh., Band 1, 209–266.
G. SzegŐ, Orthogonal Polynomials, Amer. Math. Soc. Col loq. Publ. 23, Amer. Math. Soc., Providence, R.I., 1975.
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Bilu, Y.F., Stoll, T. & Tichy, R.F. Octahedrons with Equally Many Lattice Points. Periodica Mathematica Hungarica 40, 229–238 (2000). https://doi.org/10.1023/A:1010399929053
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DOI: https://doi.org/10.1023/A:1010399929053