Algebraic Number Theory by J. S. Milne (course notes)
= Algebraic Number Theory by J. S. Milne (course notes)
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{tag=Work by James S. Milne}
{title2=2020}
https://www.jmilne.org/math/CourseNotes/ANT.pdf
Version 3.08, 19 July 2020. Chapter 5, Theorem 5.1, gives Dirichlet's unit rank and discusses logarithmic embeddings and real/imaginary quadratic examples.