Buy Introduction to Cyclotomic Fields (Graduate Texts in Mathematics) on ✓ FREE SHIPPING on qualified Lawrence C. Washington (Author ). Introduction to Cyclotomic Fields has 4 ratings and 2 reviews. Dan said: This book is not as important as the point that this book represents.I was tak. Right now, I am reading Larry Washington’s book “Introduction to Cyclotomic Fields.” In Chapter 8 of this book, the unit group of the ring of.
|Published (Last):||23 February 2005|
|PDF File Size:||4.32 Mb|
|ePub File Size:||9.23 Mb|
|Price:||Free* [*Free Regsitration Required]|
Winston marked it as to-read Jan 25, And he found out as follows: Sign up using Email and Password. Introduction to Cyclotomic Fields is a carefully written exposition of a central area of number theory that can be used as a second course in algebraic number theory. The reader is assumed to have had at least one semester of algebraic number theory though one of my students washingtoj such a course concurrently. My library Help Advanced Book Search.
Introduction to Cyclotomic Fields is a carefully written exposition of a central area of number theory that can be used as a second course in algebraic number theory. Group rings and power series. Goodreads helps you keep track of books you want to read. Some theorems on class groups.
Technical results from Iwasawa theory. Page – The determination of the imaginary abelian number fields with class number one. The index of the Stickelberger ideal. Washington Snippet view – The estimate for hm.
Introduction to Cyclotomic Fields (eBook, PDF)
Thanks for telling us about the problem. While this is all well and good, I was wondering why else might a number theorist want to study the units of cyclotomic fields.
Primality testing using Jacobi sums. To see what your friends thought of this book, please sign up. There is also a chapter giving other recent developments, including primality testing via Jacobi sums and Sinnott’s proof of the inroduction of Iwasawa’s f-invariant.
Introduction to Cyclotomic Fields by Lawrence C. Washington
I was taking a number theory class from a professor who is one of the leading experts on Iwasawa Theory. Introduction to Cyclotomic Fields Lawrence C. So, I was google searching for stuff relating to the course and I found this introduuction. Occasionally one needs the fact that ramification can be computed locally.
As to the motivation of studying cyclotomic units: In particular, the following terms should be familiar: How do they show up in other parts of number theory?
Introduction to Cyclotomic Fields by Lawrence C.
Introduction to Cyclotomic Fields
The estimate for hm. Besides obtaining information about class numbers, what can the units in cyclotomic fields too for us? Consequences of Vandiver’s conjecture.
The second edition includes a new chapter on the work of Thaine, Kolyvagin, and Rubin, including a proof of the Main Conjecture. Motivation for the cyyclotomic of units in cyclotomic fields beyond Cyclofomic book Ask Question. Open Preview See a Problem? Starting at an elementary level, the volume covers p-adic L-functions, class numbers, cyclotomic units, Fermat’s Last Theorem, and Iwasawa’s The structure of A modules.
Many exercises are included. There is also a chapter giving other …mehr.