The universality of degrees of l-functions of elliptic curves
, 2009 Let E be an elliptic non-singular curve over the field of rational numbers Q defined by the Weierstrass equation y2 = x3 + ax+ b, a, b ∈ Z. Let us denote by Δ = –16(4a3 + 27b2) the discriminant of the curve E. For each prime p let us mark the number of solutions of congruence y2 = x3 + ax+ b(mod p) v(p) and let λ(p) = p – v(p).
Latakas, Martynas +2 more
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Reduction of L-functions of Elliptic Curves Modulo Integers
, 2022 Let $\mathbb{F}_q$ be a finite field of size $q$, where $q$ is a power of a prime $p \geq 5$. Let $C$ be a smooth, proper, and geometrically connected curve over $\mathbb{F}_q$. Consider an elliptic curve $E$ over the function field $K$ of $C$ with nonconstant $j$-invariant.
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L-functions of elliptic curves with complex multiplication, II [PDF]
Acta Arithmetica, 1970 openaire +3 more sources
The functional independence of the powers of L-functions of elliptic curves
, 2008 Elliptic curves are one of the most important objects in algebraic geometry and, in general, in mathematics. The theory of elliptic curves is rather complicated and wattled by many conjectures. On the other hand, the elliptic curves have many practical applications, for example, in cryptography, in factoring of positive integers and in primality ...
Čepukaitė, Sigita +2 more
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Value at 2 of the L-function of an elliptic curve
, 2006 We study the special value at 2 of L-functions of modular forms of weight 2 on congruence subgroups of the modular group. We prove an explicit version of Beilinson's theorem for the modular curve X_1(N). When N is prime, we deduce that the target space of Beilinson's regulator map is generated by the images of Milnor symbols associated to modular units
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Lightweight image encryption for wireless sensor networks using optimized elliptic curve and fuzzy logic. [PDF]
Sci RepZarei M +3 more
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L-function of CM elliptic curves and generalized hypergeometric functions
International Journal of Number TheoryIn this paper, we express special values of the L-functions of certain CM elliptic curves which are related to Fermat curves in terms of the special values of generalized hypergeometric functions by comparing Bloch’s element with Ross’s element in the motivic cohomology group.
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The 3d Mixed BF Lagrangian 1-Form: A Variational Formulation of Hitchin's Integrable System. [PDF]
Commun Math PhysCaudrelier V +3 more
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Framework for X-ray mirror surface shape fitting. [PDF]
J Synchrotron RadiatHuang L +9 more
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Empowering IoV Security: A Novel Secure Cryptographic Algorithm (OpCKEE) for Network Protection in Connected Vehicles. [PDF]
Sensors (Basel)Ebadinezhad S, Nlend Bayemi PF.
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