# The number of irreducible factors of a polynomial, II

Christopher G. Pinner; Jeffrey D. Vaaler

Acta Arithmetica (1996)

- Volume: 78, Issue: 2, page 125-142
- ISSN: 0065-1036

## Access Full Article

top## How to cite

topChristopher G. Pinner, and Jeffrey D. Vaaler. "The number of irreducible factors of a polynomial, II." Acta Arithmetica 78.2 (1996): 125-142. <http://eudml.org/doc/206937>.

@article{ChristopherG1996,

author = {Christopher G. Pinner, Jeffrey D. Vaaler},

journal = {Acta Arithmetica},

keywords = {polynomial over an algebraic number field; irreducible cyclotomic factors},

language = {eng},

number = {2},

pages = {125-142},

title = {The number of irreducible factors of a polynomial, II},

url = {http://eudml.org/doc/206937},

volume = {78},

year = {1996},

}

TY - JOUR

AU - Christopher G. Pinner

AU - Jeffrey D. Vaaler

TI - The number of irreducible factors of a polynomial, II

JO - Acta Arithmetica

PY - 1996

VL - 78

IS - 2

SP - 125

EP - 142

LA - eng

KW - polynomial over an algebraic number field; irreducible cyclotomic factors

UR - http://eudml.org/doc/206937

ER -

## References

top- [1] E. Dobrowolski, On a question of Lehmer and the number of irreducible factors of a polynomial, Acta Arith. 34 (1979), 391-401. Zbl0416.12001
- [2] G. Hajós, Solution to problem 41, Mat. Lapok 4 (1953), 40-41 (in Hungarian).
- [3] H. B. Mann, On linear relations between roots of unity, Mathematika 12 (1965), 107-117 Zbl0138.03102
- [4] H. L. Montgomery and A. Schinzel, Some arithmetic properties of polynomials in several variables, in: Transcendence Theory: Advances and Applications, Academic Press, 1977, 195-203.
- [5] C. G. Pinner and J. D. Vaaler, The number of irreducible factors of a polynomial, I, Trans. Amer. Math. Soc. 339 (1993), 809-834. Zbl0787.11045
- [6] A. Schinzel, On the number of irreducible factors of a polynomial, II, Ann. Polon. Math. 42 (1983), 309-320. Zbl0531.12001

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.