Washington, Lawrence C. Introduction to cyclotomic fields. (English) Zbl 0484.12001 Graduate Texts in Mathematics, 83. New York-Heidelberg-Berlin: Springer-Verlag. XI, 389 p. DM 96.00; $ 42.70 (1982). Reviewer: R. Gillard Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 22 ReviewsCited in 544 Documents MSC: 11R18 Cyclotomic extensions 11R23 Iwasawa theory 11-02 Research exposition (monographs, survey articles) pertaining to number theory 11-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory 11R37 Class field theory 11R42 Zeta functions and \(L\)-functions of number fields 11R27 Units and factorization Keywords:cyclotomic field; \(p\)-adic \(L\)-function; Leopoldt conjecture; Iwasawa theory; Stickelberger ideal; class number; \(\mathbb Z_p\)-extensions; local units; abelian extension; class field theory PDF BibTeX XML