We introduce the L-function of an elliptic curve E over a number field and derive its elementary convergence properties. An L-function of this type was first introduced by Hasse, and the concept was greatly extended by Weil. For this reason it is frequently called the Hasse-Weil L-function...
49:40 国际基础科学大会-Artur Avila-TBA-Artur Avila 1:04:59 国际基础科学大会-Function spaces on quantum tori and their applications-Xiao Xiong 53:07 国际基础科学大会-Duality between the pseudoeffective and the movable cone on a…… 52:28 国际基础科学大会-The Evening of Physics – 2024ICBS ...
26 Zeros of linear combinations of Dirichlet L-functions on the critical line 48:49 The rank of elliptic curves 40:40 A Weyl-type inequality for irreducible elements in function fields, with applica 49:34 BALOG ANTAL_ ON THE L1 NORM OF TRIGONOMETRIC POLYNOMIALS WITH MULTIPLICATIVE COE 2:03:...
More precisely, for certain algebro-geometric families of elliptic curves defined over the function field of a fixed curve over a finite field, we give strong quantitative bounds for the number of elements in the family for which the relevant L-functions have their zeros as linearly independent ...
L-functionsRandom matrix theoryWe present some numerical results on the distribution of nonzero central values of elliptic curve L-functions. We compare the family of elliptic curves Ea,b:y2=x3+ax+b with (a,b) ranging over a large box, and Cremona's list of all elliptic curves with ...
We introduce an analog of the $L$-function for noncommutative tori. It is proved that such a function coincides with the Hasse-Weil $L$-function of an elliptic curve with complex multiplication. As a corollary, one gets a localization formula for polynomial rings in terms of the $K$-theory...
In this note, we give an example of an elliptic curve E such that for all prime discriminants d < 0 for which the sign of the functional equation of the L-function of the quadratic twist Ed of E by d is +1, we have L(Ed, 1) = 0. Furtherm... C Delaunay 被引量: 20发表:...
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p-adic Rankin L-series and rational points on CM elliptic curves This article presents a new proof of a theorem of Karl Rubin relating values of the Katz p-adic L-function of an imaginary quadratic field at certain point... M Bertolini,H Darmon,K Prasanna - 《Pacific Journal of Mathematic...