Root systems and the Erdős-Szekeres Problem

• Autorzy: Roy Maltby
• Języki publikacji: EN

Słowa kluczowe

EN

root system; Erdős-Szekeres Problem

Kategorie tematyczne

• 11C08: Polynomials
• 11F22: Relationship to Lie algebras and finite simple groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1997
• Tom: 81
• Numer: 3
• Strony: 229-245

Daty

wydano

1997

otrzymano

1996-04-05

poprawiono

1996-12-12

Twórcy

autor

Roy Maltby

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

Bibliografia

• [A61] F. V. Atkinson, On a problem of Erdős and Szekeres, Canad. Math. Bull. 1 (1961), 7-12.
• [B96] P. Borwein, e-mail communication.
• [BI94] P. Borwein and C. Ingalls, The Prouhet-Tarry-Escott Problem revisited, Enseign. Math. 40 (1994), 3-27.
• [C72] R. W. Carter, Simple Groups of Lie Type, Wiley, 1972.
• [D79] E. Dobrowolski, On a question of Lehmer and the number of irreductible factors of a polynomial, Acta Arith. 34 (1979), 391-401.
• [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.
• [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.
• [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.
• [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.
• [O95] A. M. Odlyzko, personal communication.