Go back
Arithmetic On Modular Curves(1st Edition)
Authors:
G. Stevens
Cover Type:Hardcover
Condition:Used
In Stock
Shipment time
Expected shipping within 2 DaysPopular items with books
Access to 30 Million+ solutions
Free ✝
Ask 50 Questions from expert
AI-Powered Answers
✝ 7 days-trial
Total Price:
$0
List Price: $54.99
Savings: $54.99(100%)
Solution Manual Includes
Access to 30 Million+ solutions
Ask 50 Questions from expert
AI-Powered Answers
24/7 Tutor Help
Detailed solutions for Arithmetic On Modular Curves
Price:
$9.99
/month
Book details
ISBN: 0817630880, 978-0817630881
Book publisher: Birkhauser
Get your hands on the best-selling book Arithmetic On Modular Curves 1st Edition for free. Feed your curiosity and let your imagination soar with the best stories coming out to you without hefty price tags. Browse SolutionInn to discover a treasure trove of fiction and non-fiction books where every page leads the reader to an undiscovered world. Start your literary adventure right away and also enjoy free shipping of these complimentary books to your door.
Book Summary: One of the most intriguing problems of modern number theory is to relate the arithmetic of abelian varieties to the special values of associated L-functions. A very precise conjecture has been formulated for elliptic curves by Birc~ and Swinnerton-Dyer and generalized to abelian varieties by Tate. The numerical evidence is quite encouraging. A weakened form of the conjectures has been verified for CM elliptic curves by Coates and Wiles, and recently strengthened by K. Rubin. But a general proof of the conjectures seems still to be a long way off. A few years ago, B. Mazur [26] proved a weak analog of these c- jectures. Let N be prime, and be a weight two newform for r 0 (N) . For a primitive Dirichlet character X of conductor prime to N, let i\ f (X) denote the algebraic part of L (f , X, 1) (see below). Mazur showed in [ 26] that the residue class of Af (X) modulo the "Eisenstein" ideal gives information about the arithmetic of Xo (N). There are two aspects to his work: congruence formulae for the values Af(X) , and a descent argument. Mazur's congruence formulae were extended to r 1 (N), N prime, by S. Kamienny and the author [17], and in a paper which will appear shortly, Kamienny has generalized the descent argument to this case.
Customers also bought these books
Frequently Bought Together
Top Reviews for Books
Scott Vegas
( 5 )
"Delivery was considerably fast, and the book I received was in a good condition."