oaklandlibrary.org
Encore CatalogLibrary HomeLibrary CardsHelp
Add to My Lists
     
Result page:

Author
Schertz, Reinhard, author.
Title
Complex Multiplication [electronic resource] / Schertz, Reinhard.
Publication Info
Cambridge University Press, 2010.
Rating
 
Connect to this resource online
Copies
Phys. Description1 online resource (376 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file
93.00
SummaryThis is a self-contained account of the state of the art in classical complex multiplication that includes recent results on rings of integers and applications to cryptography using elliptic curves. The author is exhaustive in his treatment, giving a thorough development of the theory of elliptic functions, modular functions and quadratic number fields and providing a concise summary of the results from class field theory. The main results are accompanied by numerical examples, equipping any reader with all the tools and formulas they need. Topics covered include: the construction of class fields over quadratic imaginary number fields by singular values of the modular invariant j and Weber's tau-function; explicit construction of rings of integers in ray class fields and Galois module structure; the construction of cryptographically relevant elliptic curves over finite fields; proof of Berwick's congruences using division values of the Weierstrass p-function; relations between elliptic units and class numbers.
ReproductionElectronic reproduction. Boston, MA : Safari, Available via World Wide Web. 2010.
System DetMode of access: World Wide Web.
NoteCopyright © 2010 Cambridge University Press 2010
Issued ByMade available through: Safari, an O'Reilly Media Company.
NoteOnline resource; Title from title page (viewed April 29, 2010)
GenreElectronic books. local
Alt AuthorSafari, an O'Reilly Media Company.
ISBN9781139636667
9780521766685
Isbn/Issn9781139636667
Permanent link to this record

 
Search:

Website Index | Federal Document Depository | Privacy Policy| Contact Us | City of Oakland Home Page
Copyright © 2007 Oakland Public Library