# Factorisation in fractional powers

Acta Arithmetica (1995)

- Volume: 70, Issue: 3, page 287-293
- ISSN: 0065-1036

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top## How to cite

topA. J. van der Poorten. "Factorisation in fractional powers." Acta Arithmetica 70.3 (1995): 287-293. <http://eudml.org/doc/206752>.

@article{A1995,

author = {A. J. van der Poorten},

journal = {Acta Arithmetica},

keywords = {fractional powers; number of irreducible factors; irreducible polynomial; characteristic zero; exponential polynomials},

language = {eng},

number = {3},

pages = {287-293},

title = {Factorisation in fractional powers},

url = {http://eudml.org/doc/206752},

volume = {70},

year = {1995},

}

TY - JOUR

AU - A. J. van der Poorten

TI - Factorisation in fractional powers

JO - Acta Arithmetica

PY - 1995

VL - 70

IS - 3

SP - 287

EP - 293

LA - eng

KW - fractional powers; number of irreducible factors; irreducible polynomial; characteristic zero; exponential polynomials

UR - http://eudml.org/doc/206752

ER -

## References

top- [1] E. Gourin, On irreducible polynomials in several variables which become reducible when the variables are replaced by powers of themselves, Trans. Amer. Math. Soc. 32 (1930), 485-501. Zbl56.0111.01
- [2] J. F. Ritt, A factorisation theory for functions ${\sum}_{i}^{n}=1{a}_{i}{e}_{i}^{\alpha}z$, Trans. Amer. Math. Soc. 29 (1927), 584-596.
- [3] A. Schinzel, Selected Topics on Polynomials, University of Michigan Press, Ann Arbor, 1982.

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