Average Values of Modular L-series Via the Relative Trace Formula
نویسندگان
چکیده
منابع مشابه
A Trace Formula of Special Values of Automorphic L-functions
Deligne introduced the concept of special values of automorphic L-functions. The arithmetic properties of these L-functions play a fundamental role in modern number theory. In this paper we prove a trace formula which relates special values of the Hecke, Rankin, and the central value of the Garrett triple L-function attached to primitive newforms. This type of trace formula is new and involves ...
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Let E be an elliptic curve defined over the rationals. For any prime p of good reduction, let Ep be the elliptic curve over Fp obtained by reducing E mod p. Let ap(E) be the trace of the Frobenius morphism of Ep. Then, Hasse proved that #E(Fp) = p + 1 − ap(E) with |ap(E)| ≤ 2 √ p. The case ap(E) = 0 corresponds to supersingular reduction mod p. Let N be a positive integer. For a fixed r ∈ Z, an...
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ژورنال
عنوان ژورنال: Pure and Applied Mathematics Quarterly
سال: 2005
ISSN: 1558-8599,1558-8602
DOI: 10.4310/pamq.2005.v1.n4.a1