Solved and unsolved problems οn polynomials
Schinzel, Andrzej
Banach Center Publications, Tome 31 (1995), p. 149-159 / Harvested from The Polish Digital Mathematics Library
Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:251347
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     author = {Schinzel, Andrzej},
     title = {Solved and unsolved problems $\omicron$n polynomials},
     journal = {Banach Center Publications},
     volume = {31},
     year = {1995},
     pages = {149-159},
     zbl = {0835.12001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv34i1p149bwm}
}
Schinzel, Andrzej. Solved and unsolved problems οn polynomials. Banach Center Publications, Tome 31 (1995) pp. 149-159. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv34i1p149bwm/

[000] [1] A. Capelli, Sulla riduttibilita delle equazioni algebriche, Nota prima, Rend. Accad. Fis. Mat. Soc. Napoli (3), 3 (1897), 243-252. | Zbl 28.0090.01

[001] [2] D. Coppersmith and J. Davenport, Polynomials whose powers are sparse, Acta Arith. 58 (1991), 79-87. | Zbl 0729.11015

[002] [3] E. Dobrowolski, On a question of Lehmer and the number of irreducible factors of a polynomial, Acta Arith. 34 (1979), 391-401. | Zbl 0416.12001

[003] [4] F. Dorey and G. Whaples, Prime and composite polynomials, J. Algebra 28 (1974), 88-101. | Zbl 0286.12102

[004] [5] A. Dubickas, On a conjecture of A. Schinzel and H. Zassenhaus, Acta Arith. 63 (1993), 15-20.

[005] [6] P. Erdős, On the number of terms of the square of a polynomial, Nieuw. Arch. Wiskunde (2) 23 (1949), 63-65. | Zbl 0032.00203

[006] [7] M. Fried and R. E. MacRae, On the invariance of the chain of fields, Illinois J. Math. 13 (1969), 165-171. | Zbl 0174.07302

[007] [8] K. Győry and A. Schinzel, On a conjecture of Posner and Rumsey, J. Number Theory 47 (1994), 63-78. | Zbl 0813.11061

[008] [9] D. H. Lehmer, Factorization of certain cyclotomic functions, Ann. of Math. 34 (1933), 461-479. | Zbl 0007.19904

[009] [10] R. Louboutin, Sur la mesure de Mahler d'un nombre algébrique, C. R. Acad. Sci. Paris, Sér. I 296 (1983), 539-542. | Zbl 0557.12001

[010] [11] L. Rédei, Algebra, Erster Teil, Akademische Verlaggesellschaft, Leipzig, 1959.

[011] [12] A. Rényi, On the minimal number of terms in the square of a polynomial, Hungar. Acta Math. 1 (1947), 30-34 = Selected papers, vol. 1, Budapest 1976, 42-47. | Zbl 0030.11402

[012] [13] J. F. Ritt, Prime and composite polynomials, Trans. Amer. Math. Soc., 23 (1922), 51-66. | Zbl 48.0079.01

[013] [14] A. Schinzel, Reducibility of lacunary polynomials I, Acta Arith. 16 (1969), 123-159.

[014] [15] A. Schinzel, Selected topics on polynomials, The University of Michigan Press, Ann Arbor, 1982.

[015] [16] A. Schinzel, On the number of terms of a power of a polynomial, Acta Arith. 49 (1987), 55-70. | Zbl 0632.12024

[016] [17] A. Schinzel, On reducible trinomials, Dissertationes Math. 329 (1993).

[017] [18] A. Schinzel and H. Zassenhaus, A refinement of two theorems of Kronecker, Michigan Math. J. 12 (1965), 81-85. | Zbl 0128.03402

[018] [19] C. J. Smyth, On the product of the conjugates outside the unit circle of an algebraic integer, Bull. London Math. Soc. 3 (1971), 169-175. | Zbl 0235.12003

[019] [20] W. Verdenius, On the number of terms of the square and the cube of polynomials, Indag. Math. 11 (1949), 459-465. | Zbl 0038.01101

[020] [21] U. Zannier, Ritt's second theorem for arbitrary characteristic, J. Reine Angew. Math. 445 (1993), 175-203. | Zbl 0786.12001