Classes of polynomials having only one non-cyclotomic irreducible factor

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1. [1] A. Baker, Transcendental Number Theory, Cambridge Univ. Press, Cambridge, 1979. Zbl0497.10023
2. [2] A. Borisov, On some polynomials allegedly related to the abc conjecture, Acta Arith. 84 (1998), 109-128. Zbl0903.11025
3. [3] F. Q. Gouvêa, p-adic Numbers, An Introduction, Springer, Berlin, 1997. 
4. [4] R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics, A Foundation for Computer Science, Addison-Wesley, Reading, Mass., 1989. 
5. [5] E. Gutkin, Billiard Tables of Constant Width and Dynamical Characterizations of the Circle, Abstract, Penn State Workshop, October, 1993. 
6. [6] N. Koblitz, p-adic Numbers, p-adic Analysis, and Zeta-Functions, Springer, New York, 1977. Zbl0364.12015
7. [7] L. J. Mordell, Diophantine Equations, Academic Press, London, 1969. 
8. [8] J.-L. Nicolas et A. Schinzel, Localisation des zéros de polynômes intervenant en théorie du signal, in: Cinquante ans de polynômes (Paris, 1988), Lecture Notes in Math. 1415, Springer, Berlin, 1990, 167-179. Zbl0703.30004
9. [9] G. Pólya and G. Szegö, Problems and Theorems in Analysis I, Springer, New York, 1972. Zbl0236.00003
10. [10] J. B. Rosser and L. Schoenfeld, Approximate formulas for some functions of prime numbers, Illinois J. Math. 6 (1962), 64-89. Zbl0122.05001
11. [11] I. Schur, Einige Sätze über Primzahlen mit Anwendungen auf Irreduzibilitätsfragen. I, Sitzungsber. Preuss. Akad. Wiss. Phys. Math. Kl. 1929, 125-136. Zbl55.0069.03
12. [12] T. N. Shorey and R. Tijdeman, Exponential Diophantine Equations, Cambridge Tracts in Math. 87, Cambridge Univ. Press, Cambridge, 1986. Zbl0606.10011
13. [13] J. J. Sylvester, On arithmetical series, Messenger of Math. 21 (1892), 1-19. 
14. [14] L. Washington, Cyclotomic Fields, Springer, New York, 1997. 
15. [15] E. Weiss, Algebraic Number Theory, Chelsea, New York, 1963. Zbl0115.03601