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In this chapter we give two proofs of the fundamental density theorem of Chebotarev. The first directly generalises our proof of Dirichlet’s theorem. The second is more algebraic in nature and provides a nice illustration of the power of Frobenius elements in algebraic number theory.

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The Chebotarev Density Theorem

  • 章节

  • 发表日期：

    2025年

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  • Davide Lombardo

摘要

In this chapter we give two proofs of the fundamental density theorem of Chebotarev. The first directly generalises our proof of Dirichlet’s theorem. The second is more algebraic in nature and provides a nice illustration of the power of Frobenius elements in algebraic number theory.