Results 1 to 10 of about 2,716 (111)
A Limit Theorem for Twists of L-Functions of Elliptic Curves
Mathematical Modelling and Analysis, 2014 In the paper, a limit theorem for weakly convergent probability measures on the complex plane for twisted with Dirichlet character L-functions of elliptic curves with an increasing modulus of the character is proved.
Virginija Garbaliauskienė +1 more
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A Joint Elliott Type Theorem for Twists of L-Functions of Elliptic Curves
Mathematical Modelling and Analysis, 2016 We consider a collection of L-functions of elliptic curves twisted by a Dirichlet character modulo q (q is a prime number), and prove for this collection a joint limit theorem for weakly convergent probability measures in the space of analytic functions ...
Virginija Garbaliauskienė +1 more
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Characteristic determinant and Manakov triple for the double elliptic integrable system
SciPost Physics, 2021 Using the intertwining matrix of the IRF-Vertex correspondence we propose a determinant representation for the generating function of the commuting Hamiltonians of the double elliptic integrable system.
A. Grekov, A. Zotov
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K3 mirror symmetry, Legendre family and Deligne's conjecture for the Fermat quartic
Nuclear Physics B, 2021 In this paper, we will study the connections between the mirror symmetry of K3 surfaces and the geometry of the Legendre family of elliptic curves. We will prove that the mirror map of the Dwork family is equal to the period map of the Legendre family ...
Wenzhe Yang
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-FUNCTIONS OF ELLIPTIC CURVES AND BINARY RECURRENCES [PDF]
Bulletin of the Australian Mathematical Society, 2013 AbstractLet$L(s, E)= {\mathop{\sum }\nolimits}_{n\geq 1} {a}_{n} {n}^{- s} $be the$L$-series corresponding to an elliptic curve$E$defined over$ \mathbb{Q} $and$\mathbf{u} = \mathop{\{ {u}_{m} \} }\nolimits_{m\geq 0} $be a nondegenerate binary recurrence sequence.
Luca, Florian +2 more
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Design and Validation of Low-Power Secure and Dependable Elliptic Curve Cryptosystem
Journal of Low Power Electronics and Applications, 2021 The elliptic curve cryptosystem (ECC) has been proven to be vulnerable to non-invasive side-channel analysis attacks, such as timing, power, visible light, electromagnetic emanation, and acoustic analysis attacks.
Bikash Poudel +3 more
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Cycles, L-functions and triple products of elliptic curves. [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 1997 Summary: This article investigates a conjecture of Beilinson and Bloch which relates the rank of the Griffiths group of a smooth projective variety over a number field to the order of vanishing of an L-function at the center of the critical strip. Numerical data is gathered for 1-cycles on \(E^3\) for 76 different elliptic curves \(E/\mathbb{Q}\).
Schoen, Chad, Top, Jaap, Buhler, Joe
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On L-functions of modular elliptic curves and certain K3 surfaces [PDF]
The Ramanujan Journal, 2021 AbstractInspired by Lehmer’s conjecture on the non-vanishing of the Ramanujan $$\tau $$ τ -function, one may ask whether an odd integer $$\alpha $$ α can be equal to $$\tau (n)$$ τ ( n )
Malik Amir, Letong Hong
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Symmetric Powers of Elliptic Curve L-Functions [PDF]
, 2006 The conjectures of Deligne, Be\u linson, and Bloch-Kato assert that there should be relations between the arithmetic of algebro-geometric objects and the special values of their $L$-functions. We make a numerical study for symmetric power $L$-functions of elliptic curves, obtaining data about the validity of their functional equations, frequency of ...
Martin, Phil, Watkins, Mark
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Limit Theorems for Twists of L-Functions of Elliptic Curves. IV
Mathematical Modelling and Analysis, 2014 In this paper, we prove a multidimensional limit theorem for moduli of twists of L-functions of elliptic curves. The limit measure in this theorem is defined by the characteristic transforms.
Virginija Garbaliauskienė +1 more
doaj +1 more source