# Reducibility of lacunary polynomials XII

Acta Arithmetica (1999)

- Volume: 90, Issue: 3, page 273-289
- ISSN: 0065-1036

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top## How to cite

topA. Schinzel. "Reducibility of lacunary polynomials XII." Acta Arithmetica 90.3 (1999): 273-289. <http://eudml.org/doc/207328>.

@article{A1999,

author = {A. Schinzel},

journal = {Acta Arithmetica},

keywords = {reducibility of lacunary polynomials; theorem of Bombieri and Zannier; reciprocal polynomials; Laurent polynomial; reducibility criterion; irreducibility; canonical factorization; polynomials with algebraic coefficients},

language = {eng},

number = {3},

pages = {273-289},

title = {Reducibility of lacunary polynomials XII},

url = {http://eudml.org/doc/207328},

volume = {90},

year = {1999},

}

TY - JOUR

AU - A. Schinzel

TI - Reducibility of lacunary polynomials XII

JO - Acta Arithmetica

PY - 1999

VL - 90

IS - 3

SP - 273

EP - 289

LA - eng

KW - reducibility of lacunary polynomials; theorem of Bombieri and Zannier; reciprocal polynomials; Laurent polynomial; reducibility criterion; irreducibility; canonical factorization; polynomials with algebraic coefficients

UR - http://eudml.org/doc/207328

ER -

## References

top- [1] E. Bombieri and U. Zannier, Intersections of varieties with 1-dimensional tori and a conjecture of Schinzel, preprint; see also U. Zannier, Proof of Conjecture 1, appendix in the book by A. Schinzel, Polynomials with Special Regard to Reducibility, to be published by Cambridge University Press.
- [2] A. Schinzel, Reducibility of lacunary polynomials I, Acta Arith. 16 (1969), 123-159.
- [3] A. Schinzel, A general irreducibility criterion, J. Indian Math. Soc. (N.S.) 37 (1973), 1-8.
- [4] A. Schinzel, Reducibility of lacunary polynomials III, Acta Arith. 34 (1978), 227-266. Zbl0372.12022
- [5] A. Schinzel, Reducibility of lacunary polynomials VII, Monatsh. Math. 102 (1986), 309-337. Zbl0599.12002
- [6] A. Schinzel, Reducibility of lacunary polynomials VIII, Acta Arith. 50 (1988), 91-106. Zbl0652.12001
- [7] A. Schinzel, Reducibility of lacunary polynomials X, Acta Arith. 53 (1989), 47-97.
- [8] A. Schinzel, Reducibility of lacunary polynomials XI, Acta Arith. 57 (1991), 165-175 Zbl0719.12002

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