This book provides an exposition of function field arithmetic with emphasis on recent developments concerning Drinfeld modules, the arithmetic of special values of transcendental functions (such as zeta and gamma functions and their interpolations), diophantine approximation and related interesting open problems. While it covers many topics treated in 'Basic Structures of Function Field Arithmetic' by David Goss, it complements that book with the inclusion of recent developments as well as the treatment of new topics such as diophantine approximation, hypergeometric functions, modular forms, transcendence, automata and solitons. There is also new work on multizeta values and log-algebraicity. The author has included numerous worked-out examples. Many open problems, which can serve as good thesis problems, are discussed.
FREE Two-Day Shipping for Students. Learn more |
Book Description
Special Offers and Product Promotions
- Buy $50 in qualifying physical textbooks, get $5 in Amazon MP3 Credit. Here's how (restrictions apply)
Product Details
Would you like to update product info or give feedback on images?
|
More About the Author
Discover books, learn about writers, read author blogs, and more.
Customer Reviews
|
There are no customer reviews yet.
|
|||
|
Video reviews
|
Inside This Book
(learn more)
First Sentence:
In schools, after we learn how to manipulate (add, subtract, multiply and divide) with integers and rational numbers, we introduce a variable (indeterminate, unknown, transcendent) and learn to manipulate with polynomials and rational functions, learn division algorithms giving remainder of smaller 'size' than that of the divisor. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
multizeta values, drinfeld modules, function field situation, finite characteristic numbers, function field arithmetic, arithmetic gamma, constant field extensions, complex multiplication theory, special values results, explicit class field theory, cyclotomic theory, function field case, number field case, geometric gamma, cyclotomic units, number field situation, computational classes, algebraic power series, principal ideal theorem, elliptic curves case, monic elements, theorem analog, transcendence results, maximal abelian extension, top coefficient Key Phrases - Capitalized Phrases (CAPs): (learn more)
Drinfeld A-module, Jing Yu, Greg Anderson, University of Arizona New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
In schools, after we learn how to manipulate (add, subtract, multiply and divide) with integers and rational numbers, we introduce a variable (indeterminate, unknown, transcendent) and learn to manipulate with polynomials and rational functions, learn division algorithms giving remainder of smaller 'size' than that of the divisor. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
multizeta values, drinfeld modules, function field situation, finite characteristic numbers, function field arithmetic, arithmetic gamma, constant field extensions, complex multiplication theory, special values results, explicit class field theory, cyclotomic theory, function field case, number field case, geometric gamma, cyclotomic units, number field situation, computational classes, algebraic power series, principal ideal theorem, elliptic curves case, monic elements, theorem analog, transcendence results, maximal abelian extension, top coefficient Key Phrases - Capitalized Phrases (CAPs): (learn more)
Drinfeld A-module, Jing Yu, Greg Anderson, University of Arizona New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 4
books:
2
books
cite this book:
- Number Theory (Crm Proceedings & Lecture Notes, V. 36) by H. Kisilevsky in Back Matter (1), and Back Matter (2)
- Number Theory by Helmut Hasse in Back Matter
- Number Theory (Lecture Notes in Mathematics) by D. V. Chudnovsky in Back Matter
- Number Theory: An approach through history from Hammurapi to Legendre by André Weil in Back Matter
- Algebra, Arithmetic and Geometry with Applications: Papers from Shreeram S. Abhyankar's 70th Birthday Conference by Chris Christensen on page 380
- Topics in the Theory of Algebraic Function Fields (Mathematics: Theory & Applications) by Gabriel Daniel Villa Salvador in Back Matter
Books on Related Topics
(learn more)
|
Tag this product(What's this?)Think of a tag as a keyword or label you consider is strongly related to this product.
Tags will help all customers organize and find favorite items. |
Sell a Digital Version of This Book in the Kindle Store
If you are a publisher or author and hold the digital rights to a book, you can sell a digital version of it in our Kindle Store.
Learn more
Customer Discussions
|
This product's forum
Active discussions in related forums
Search Customer Discussions
|
Related forums
|
