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...
CM elliptic curvep-adic L-functionμ-invariant11R2311G40Using 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...
Elliptic curvesL-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 ...
lntegral Points on Twin Prime Elliptic Curve E+ 来自 知网 喜欢 0 阅读量: 20 作者: MH Le 摘要: Let p and q be twin primes with p+2=q.Using some upper bounds for solutions of quartic diophantine equations and simultaneous Pell equations,we prove that if,then the elliptic curve has...
We show that if $E/\\mathbb{Q}$ is an elliptic curve with a rational $p$-torsion for $p=2$ or $3$, then there is a congruence relation between Ramanujan's tau function and $E$ modulo $p$. We make use of such congruences to compute the Iw... A Doyon,A Lei 被引量: 0发...
The main form of Se function in the body is selenoprotein, especially selenium-enzyme. It has been widely used in pig industry as feed additives within the past four decades. To our knowledge, the mitigating effect of Se on ammonia toxicity has not been reported. L-selenomethionine is a ...
We show that this divisor then occurs in a critical value \\(L(ilde{\\psi },2)\\), by constructing a non-zero element in a Selmer group and applying a theorem of Kato. 展开 关键词: \({\mathbb {Q}}\)-curve Real quadratic units Hecke \(L\)-function 11G05 11R11 11G40 ...
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Leaf gas exchange and fluorescence measurements. Leaf gas exchange and chlorophyll fluorescence were measured simultaneously at either leaf margins (Fig. 4, about 2 cm of leaf surface from the margin) or leaf centers (the rest part between half-elliptic and vertical dashed lines), using ...
Equation (15) is obtained to describe the change of the broth viscosity as a function of the water percentage in a water–glycerin solution. 𝜇=2849.1⋅𝑥−3.138𝑤μ=2849.1⋅xw−3.138 (15) Table 1. Impellers’ diameters. 3.1.3. 𝑘𝐿𝑎kLa Determination by Gassing ...