On the index of a number field

Enric Nart

doi:10.1090/S0002-9947-1985-0779058-2

On the index of a number field

Enric Nart

Department of Mathematics

Research output: Contribution to journal › Article › Research

11 Citations (Scopus)

Abstract

Arithmetic invariants are found which determine the index i(K) of a number field K. They are used to obtain an explicit formula under certain restrictions on K. They provide also a complete explanation of a phenomenon conjectured by Ore [8] and showed by Engstrom in a particular case [2]. © 1985 American Mathematical Society.

Original language	English
Pages (from-to)	171-183
Journal	Transactions of the American Mathematical Society
Volume	289
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9947-1985-0779058-2
Publication status	Published - 1 Jan 1985

Keywords

Index of a number field
Ore’s conjecture

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10.1090/S0002-9947-1985-0779058-2

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On the index of a number field

Abstract

Keywords

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