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...
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...
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...
The effect of zeros of elliptic curve L-functions at the central point on nearby zeros Let $L(s,f)$ be an $L$-function associated to a primitive (holomorphic or Maass) cusp form $f$ on GL(2) over $\\mathbb{Q}$. Combining mean-value estimates ... SJ Miller 被引量: 0发表: 0...
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 ...
Split-CM points are points of the moduli space h_2/Sp_4(Z) corresponding to products $E imes E'$ of elliptic curves with the same complex multiplication. We prove that the number of split-CM points in a given class of h_2/Sp_4(Z) is related to the coefficients of a weight 3/2...
L-Function椭圆单位p-adic测度Γ-变换μ不变量m_H(G)-猜想椭圆曲线的Iwasawa理论建立了椭圆曲线的算术对象即紧致Selmer群,和分析对象p-adicL-function之间的联系... 康云凌 - 《南京大学》 被引量: 0发表: 2011年 Cryptography on twisted Edwards curves over local fields an element in the elliptic curves...
It is primarily used internally to OpenSSL to support the\nSMIME, CMS and PKCS7 streaming capabilities, but may also be called directly by\nend user applications.\n\nThe function receives a BIO from the caller, prepends a new BIO_f_asn1 filter\nBIO onto the front of it to form a ...
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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 ...