Représentations $l$-adiques associées aux invariants cyclotomiques
نویسندگان
چکیده
منابع مشابه
Formes Modulaires Et Représentations -adiques
(2π)Γ(s)Lτ (s) is invariant under s 7→ 12 − s. The Ramanujan conjecture affirms that the roots of the polynomial Hp are of absolute value p −11/2 (i.e. that |τ(p)| < 2p). These properties, proven or conjectural, are similar to conjectural properties of zeta functions of algebraic varieties over Q. Suggested by this, in a first approximation, it is tempting to interpret the function Lτ as the ze...
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In earlier work, the second named author described how one may extract Darmonstyle L -invariants from modular forms on Shimura curves that are special at p. In this paper, we show that these L -invariants are preserved by the Jacquet–Langlands correspondence. As a consequence, we prove the second named author’s period conjecture in the case where the base field is Q. As a further application of...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1985
ISSN: 0386-2194
DOI: 10.3792/pjaa.61.149