On the existence of minkowski units in totally real cyclic fields

František Marko

doi:10.5802/jtnb.486

On the existence of minkowski units in totally real cyclic fields

František Marko

Penn State Hazleton

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Let K be a totally real cyclic number field of degree n that is the product of two distinct primes and such that the class number of the n-th cyclotomic field equals 1. We derive certain necessary and sufficient conditions for the existence of a Minkowski unit for K.

Original language	English (US)
Pages (from-to)	195-206
Number of pages	12
Journal	Journal de Theorie des Nombres de Bordeaux
Volume	17
Issue number	1
DOIs	https://doi.org/10.5802/jtnb.486
State	Published - 2005

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.5802/jtnb.486

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On the existence of minkowski units in totally real cyclic fields

Abstract

All Science Journal Classification (ASJC) codes

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