ArticleOriginal scientific text

Title

Root systems and the Erdős-Szekeres Problem

Authors 1

Affiliations

  1. Centre for Experimental and Constructive Mathematics, Simon Fraser University, Burnaby, British Columbia, Canada, V5A 1S6

Keywords

root system, Erdős-Szekeres Problem

Bibliography

  1. [A61] F. V. Atkinson, On a problem of Erdős and Szekeres, Canad. Math. Bull. 1 (1961), 7-12.
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  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.
  6. [ES58] P. Erdős and G. Szekeres, On the product k=1n(1-zαk), 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.
  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.
  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.
  13. [O95] A. M. Odlyzko, personal communication.
Pages:
229-245
Main language of publication
English
Received
1996-04-05
Accepted
1996-12-12
Published
1997
Exact and natural sciences