2004Canadian Mathematical BulletinOpen access

A Generalization of the Turán Theorem and Its Applications

Yuru Liu

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Abstract

Abstract We axiomatize the main properties of the classical Turán Theorem in order to apply it to a general context. We provide applications in the cases of number fields, function fields, and geometrically irreducible varieties over a finite field.

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Abstract We axiomatize the main properties of the classical Turán Theorem in order to apply it to a general context. We provide applications in the cases of number fields, function fields, and geometrically irreducible varieties over a finite field.

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Abstract We axiomatize the main properties of the classical Turán Theorem in order to apply it to a general context. We provide applications in the cases of number fields, function fields, and geometrically irreducible varieties over a finite field.

Key concepts: Mathematics, Generalization, Order (exchange), Context (archaeology), Function field, Field (mathematics), Pure mathematics, Function (biology)

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