Polynomial bound for partition rank in terms of analytic rank
نویسندگان
چکیده
منابع مشابه
Explicit Upper Bound for the (Analytic) Rank of J0(q)
We refine the techniques of our previous paper [KM1] to prove that the average order of vanishing of L-functions of primitive automorphic forms of weight 2 and prime level q satisfies ∑ f∈S2(q)∗ ords= 1 2 L(f, s) ≤ C|S2(q) ∗| with C = 6.5, for all q large enough. On the Birch and Swinnerton-Dyer conjecture, this implies rank J0(q) ≤ C dim J0(q) for q prime large enough.
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ژورنال
عنوان ژورنال: Geometric and Functional Analysis
سال: 2019
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s00039-019-00505-4