Geodesic
Localization of the identities of the number field
Zapiski Nauchnykh Seminarov POMI, Rings and modules, Tome 64 (1976), pp. 5-11

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The image of the group of identities of the number field under a mapping into the reduced multiplicative group of a local field is investigated. The asymptotic behavior of this image under a cyclotomic $p$-extension of the ground field is studied. 
@article{ZNSL_1976_64_a0,
     author = {M. I. Bashmakov and R. A. Keshtov},
     title = {Localization of the identities of the number field},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {5--11},
     publisher = {mathdoc},
     volume = {64},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1976_64_a0/}
}
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M. I. Bashmakov; R. A. Keshtov. Localization of the identities of the number field. Zapiski Nauchnykh Seminarov POMI, Rings and modules, Tome 64 (1976), pp. 5-11. http://geodesic.mathdoc.fr/item/ZNSL_1976_64_a0/