weil numbers
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2009 ◽  
Vol 05 (05) ◽  
pp. 871-884
Author(s):  
BRUNO ANGLÈS ◽  
TATIANA BELIAEVA

In this paper, we study the p-adic behavior of Weil numbers in the cyclotomic ℤp-extension of the pth cyclotomic field. We determine the characteristic ideal of the quotient of semi-local units by Weil numbers in terms of the characteristic ideals of some classical modules that appear in the Iwasawa theory. In a recent preprint [9] by Nguyen Quang Do and Nicolas, a generalization of this result to a semi-simple case was obtained.


1991 ◽  
Vol 38 (3) ◽  
pp. 366-377 ◽  
Author(s):  
R.W.K. Odoni
Keyword(s):  

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