Items related to Arithmetic on Modular Curves (Progress in Mathematics)
Synopsis
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 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.
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Arithmetic on Modular Curves (Progress in Mathematics)
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Arithmetic on Modular Curves
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Condition: Good. Birkhauser, 1982. Cover lightly soiled/rubbed, corners very lightly rubbed, spine sunned; edges foxed/lightly soiled; ffep has the faintest foxing; binding tight; cover, edges, and interior intact and clean except as noted. hardcover. Good. Seller Inventory # 616778
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Arithmetic on Modular Curves (Progress in Mathematics)
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Condition: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,550grams, ISBN:3764330880. Seller Inventory # 5833540
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Arithmetic on Modular Curves (Progress in Mathematics)
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Hardcover. Condition: Very Good. Binding firm, cover shiny, interior clean and unmarked. Seller Inventory # CORV-BBC-OK92018
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