We define a new height function on the group of non-zero algebraic numbers :, the height of : being the infimum over all products of Mahler measures of algebraic numbers whose product is :. We call this height the metric Mahler measure, since its logarithm defines a metric in the factor group of the
Metric measures
- Publisher
- Wiley (John Wiley & Sons)
- Year
- 1933
- Weight
- 137 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0368-4075
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β¦ Synopsis
ciilciiini stilt is stable nndcr tOic conditions of the cspcrinicnt.. With rcsorcinol nnd potiissiiiin pcriotlntc this coinpound gives n liright oriinge-to cherry-red coloriition wliicli beconics strongly fluorescent. 1111 tlicsc properties :ire posscssetl by liyponitroiis ncitl, nntl qiIiitititiiti.c est,iniiitioiis support tlic conclusion that Iiyponi~roiis iicitl is t,lic intcriiict1i:itc coiitpoiintl present.
1Utliongli Iiytlrosyl:uiiiiic idso gives it rctltlisli colonr wit.h rcsorcinol rind potiissiiini pcriodiite, this colonr is not. fliiorcsccnt : inorcover, Iiydrosyl:iininc ciinnot co-mist with nitrites : i d it rciidily rctliiccs Fchling's solution. It his I)cc!n found tliiit tlic test for hytlrosyliiniinc ciiiployctl Iiy 13loni (I3ioclicin. %., 1928, 24, 332) itlit1 by Iindsey titid ltliincs (J. I3iict.., 1332: 24, 489),
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