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...
而是简写成"14. a5"。这个方程定义了一个叫做椭圆曲线（elliptic curve）的东西，然后求前20个系数。
Let be the L-function of an elliptic curve E defined over the rational field . Assuming the Birch–Swinnerton-Dyer conjectures, we examine special values of the rth derivatives, L (r)(E, 1, χ), of twists by Dirichlet characters of when L(E, 1, χ)==L (r1)(E, 1, χ)=0....
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:...
distribution of zerosWe study a subtle inequity in the distribution of unnormalized differences between imaginary parts of zeros of the Riemann zeta function, which was observed by a number of authors. We establish a precise measure which explains the phenomenon, that the location of each Riemann ...
Finally, we improve a bound of Luca and Shparlinski on the counting function of elliptic pseudoprimes. 展开 关键词: Rational elliptic curves Chebotarev Density Theorem Arithmetic functions L-functions Euler’s totient function Elliptic pseudoprimes 年份: 2018 ...
info["contents"] = [processEllipticCurveNavigation(args),LfunctionPlot.getOneGraphHtmlHolo(1,22,2,14)]elifdegree ==3ordegree ==4: info["contents"] =LfunctionPlot.getAllMaassGraphHtml(degree)returnrender_template("DegreeNavigateL.html", info=info, title ='Degree '+ str(degree)+' L-funct...
浏览完整代码 来源:renderLfunction.py 项目:swisherh/swisherh-logo 示例2 def processEllipticCurveNavigation(args): try: logger.info(args['start']) N = int(args['start']) if N < 11: N=11 elif N > 100: N=100 except: N = 11 try: length = int(args['length']) if length < 1: ...
Using the idea of Sinnott, Gillard and Schneps, we prove the μ-invariant is zero for the two-variable primitive p-adic L-function constructed by Kang (2012), which arises naturally in the study of Iwasawa theory for an elliptic curve with complex multiplication (CM).YunLing Kang...
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:...