Feng Keqin(冯克勤).Two Questions on Levesque's Cyclotomic Unit Index[J].Chinese Annals of Mathematics B,1990,11(1):93~99
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Authors:
Feng Keqin(冯克勤);
Abstract:
C. Levesque^[3] raised two questions on the index of his independent cyclotomic unit system in the whole unit group of $Z[\xi_n +\bar \xi_n\]$.In this paper it is shown that the first question has affirmative answer for n\equiv p^\alpha and n\equiv p^\alpha q^\beta, tho second question has affirmative answer for n\equiv p^\alpha, but has negative answer for n\equiv p^\alpha q^\beta.