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On totally positive units of real holomorphy rings

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Abstract

In this paper we will show that every totally positive unit of the real holomorphy ring of a formally real field is a sum of 2n-th powers of totally positive units for all natural numbersn. Moreover, in the casen=1 we give a bound on the number of summands required in such a representation.

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Authors and Affiliations

  1. Fachbereich Mathematik, Universität Dortmund, D-44221, Dortmund, Germany

    Joachim Schmid

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  1. Joachim Schmid
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Correspondence to Joachim Schmid.

Additional information

This research was supported by the Alexander-von-Humboldt-Foundation and carried out during the author's stay at the Institute for Advanced Studies at the Hebrew University of Jerusalem.

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Schmid, J. On totally positive units of real holomorphy rings. Israel J. Math. 85, 339–350 (1994). https://doi.org/10.1007/BF02758647

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  • DOI: https://doi.org/10.1007/BF02758647

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