The Fekete-Szegő theorem with splitting conditions: Part I

• Autorzy: Robert Rumely
• Języki publikacji: EN

Słowa kluczowe

EN

Fekete-Szegő theorem; capacity theory; splitting conditions

Kategorie tematyczne

• 11R06: PV-numbers and generalizations; other special algebraic numbers; Mahler measure
• 11R04: Algebraic numbers; rings of algebraic integers
• 14G40: Arithmetic varieties and schemes; Arakelov theory; heights
• 31C15: Potentials and capacities

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2000
• Tom: 93
• Numer: 2
• Strony: 99-116

Daty

wydano

2000

otrzymano

1998-04-27

Twórcy

autor

Robert Rumely

• Department of Mathematics, University of Georgia, Athens, GA 30602, U.S.A.

Bibliografia

• [1] E. Artin, Algebraic Numbers and Algebraic Functions, Gordon and Breach, Science Publishers, New York, 1967.
• [2] D. Cantor, On an extension of the definition of transfinite diameter and some applications, J. Reine Angew. Math. 316 (1980), 160-207.
• [3] L. Comptet, Advanced Combinatorics, Reidel, Boston, 1979.
• [4] M. Fekete and G. Szegő, On algebraic equations with integral coefficients whose roots belong to a given set, Math. Z. 63 (1955), 158-172.
• [5] R. M. Robinson, Conjugate algebraic integers in real point sets, Math. Z. 84 (1964), 415-427.
• [6] R. Rumely, Capacity Theory on Algebraic Curves, Lecture Notes in Math. 1378, Springer, New York, 1989.