Geodesic
Congruence modulo 2 of circular units in the fields $Q_{16}$ and $Q_{32}$
Čelâbinskij fiziko-matematičeskij žurnal, Tome 1 (2016) no. 4, pp. 8-29

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper the behavior of units (invertible elements) of the rings of integer of 2-circular fields is studied. In particular, the comparability of modulo 2 for the circular units of fields $Q_{16}$ и $Q_{32}$ is considered.
Keywords: group ring, group ring unit, cyclic group, primitive root. 
@article{CHFMJ_2016_1_4_a1,
     author = {R. Zh. Aleev and O. V. Mitina and E. A. Khristenko},
     title = {Congruence modulo 2 of circular units in the fields $Q_{16}$ and $Q_{32}$},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {8--29},
     publisher = {mathdoc},
     volume = {1},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2016_1_4_a1/}
}
TY  - JOUR
AU  - R. Zh. Aleev
AU  - O. V. Mitina
AU  - E. A. Khristenko
TI  - Congruence modulo 2 of circular units in the fields $Q_{16}$ and $Q_{32}$
JO  - Čelâbinskij fiziko-matematičeskij žurnal
PY  - 2016
SP  - 8
EP  - 29
VL  - 1
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CHFMJ_2016_1_4_a1/
LA  - ru
ID  - CHFMJ_2016_1_4_a1
ER  - 
%0 Journal Article
%A R. Zh. Aleev
%A O. V. Mitina
%A E. A. Khristenko
%T Congruence modulo 2 of circular units in the fields $Q_{16}$ and $Q_{32}$
%J Čelâbinskij fiziko-matematičeskij žurnal
%D 2016
%P 8-29
%V 1
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CHFMJ_2016_1_4_a1/
%G ru
%F CHFMJ_2016_1_4_a1
R. Zh. Aleev; O. V. Mitina; E. A. Khristenko. Congruence modulo 2 of circular units in the fields $Q_{16}$ and $Q_{32}$. Čelâbinskij fiziko-matematičeskij žurnal, Tome 1 (2016) no. 4, pp. 8-29. http://geodesic.mathdoc.fr/item/CHFMJ_2016_1_4_a1/