# Root systems and the Erdős-Szekeres Problem

Acta Arithmetica (1997)

- Volume: 81, Issue: 3, page 229-245
- ISSN: 0065-1036

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topRoy Maltby. "Root systems and the Erdős-Szekeres Problem." Acta Arithmetica 81.3 (1997): 229-245. <http://eudml.org/doc/207062>.

@article{RoyMaltby1997,

author = {Roy Maltby},

journal = {Acta Arithmetica},

keywords = {root system; Erdős-Szekeres Problem; Erdös-Szekeres problem; 2-norm; construction of pure products from root systems},

language = {eng},

number = {3},

pages = {229-245},

title = {Root systems and the Erdős-Szekeres Problem},

url = {http://eudml.org/doc/207062},

volume = {81},

year = {1997},

}

TY - JOUR

AU - Roy Maltby

TI - Root systems and the Erdős-Szekeres Problem

JO - Acta Arithmetica

PY - 1997

VL - 81

IS - 3

SP - 229

EP - 245

LA - eng

KW - root system; Erdős-Szekeres Problem; Erdös-Szekeres problem; 2-norm; construction of pure products from root systems

UR - http://eudml.org/doc/207062

ER -

## References

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- [D79] E. Dobrowolski, On a question of Lehmer and the number of irreductible factors of a polynomial, Acta Arith. 34 (1979), 391-401. Zbl0416.12001
- [ES58] P. Erdős and G. Szekeres, On the product ${\prod}_{k=1}^{n}(1-{z}^{{\alpha}_{k}})$, Acad. Serbe Sci. Publ. Inst. Math. 12 (1958), 29-34.
- [K94] M. N. Kolountzakis, Probabilistic and Constructive Methods in Harmonic Analysis and Additive Number Theory, Ph.D. dissertation, Stanford University, 1994.
- [M72] I. G. MacDonald, Affine root systems and Dedekind's η-function, Invent. Math. 15 (1972), 91-143. Zbl0244.17005
- [M96] R. Maltby, Pure Product Polynomials of Small Norm, Ph.D. dissertation, Simon Fraser University, 1996.
- [M97] R. Maltby, Pure product polynomials and the Prouhet-Tarry-Escott Problem, Math. Comp. (1997), to appear. Zbl1036.11539
- [M94] S. Maltby, Some optimal results related to the PTE Problem, preprint.
- [O82] A. M. Odlyzko, Minima of cosine sums and maxima of polynomials on the unit circle, J. London Math. Soc. (2) 26 (1982), 412-420. Zbl0476.30005
- [O95] A. M. Odlyzko, personal communication.

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