Arithmetic on Modular Curves
Language: English
Published by Birkhäuser Boston, Birkhäuser Boston Jan 1982, 1982
- Softcover
- New
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.
AbeBooks seller since January 11, 2012
Condition: New
£ 46.55
Quantity: 2 available
Add to basketItem description from seller
This item is printed on demand - it takes 3-4 days longer - Neuware -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. 236 pp. Englisch.…
Seller Inventory # 9780817630881
- Title
- Arithmetic on Modular Curves
- Author
- G. Stevens
- Publisher
- Birkhäuser Boston, Birkhäuser Boston Jan 1982
- Publication year
- 1982
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 0817630880
- ISBN 13
- 9780817630881
- Item weight
- 349 grams
- Dimensions
- 229x152x13 mm
"Synopsis" may belong to another edition of this title.
BuchWeltWeit Ludwig Meier e.K.
Bergisch Gladbach, Germany
AbeBooks seller since January 11, 2012
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BuchWeltWeit Ludwig Meier e.K.
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