Root systems and the Erdős-Szekeres Problem

Roy Maltby

Acta Arithmetica (1997)

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

How to cite


Roy Maltby. "Root systems and the Erdős-Szekeres Problem." Acta Arithmetica 81.3 (1997): 229-245. <>.

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 = {},
volume = {81},
year = {1997},

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 -
ER -


  1. [A61] F. V. Atkinson, On a problem of Erdős and Szekeres, Canad. Math. Bull. 1 (1961), 7-12. Zbl0119.04304
  2. [B96] P. Borwein, e-mail communication. 
  3. [BI94] P. Borwein and C. Ingalls, The Prouhet-Tarry-Escott Problem revisited, Enseign. Math. 40 (1994), 3-27. Zbl0810.11016
  4. [C72] R. W. Carter, Simple Groups of Lie Type, Wiley, 1972. 
  5. [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
  6. [ES58] P. Erdős and G. Szekeres, On the product k = 1 n ( 1 - z α k ) , Acad. Serbe Sci. Publ. Inst. Math. 12 (1958), 29-34. 
  7. [K94] M. N. Kolountzakis, Probabilistic and Constructive Methods in Harmonic Analysis and Additive Number Theory, Ph.D. dissertation, Stanford University, 1994. 
  8. [M72] I. G. MacDonald, Affine root systems and Dedekind's η-function, Invent. Math. 15 (1972), 91-143. Zbl0244.17005
  9. [M96] R. Maltby, Pure Product Polynomials of Small Norm, Ph.D. dissertation, Simon Fraser University, 1996. 
  10. [M97] R. Maltby, Pure product polynomials and the Prouhet-Tarry-Escott Problem, Math. Comp. (1997), to appear. Zbl1036.11539
  11. [M94] S. Maltby, Some optimal results related to the PTE Problem, preprint. 
  12. [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
  13. [O95] A. M. Odlyzko, personal communication. 

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