Results 1 to 10 of about 84 (76)
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
doaj +10 more sources
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 +3 more sources
Limit theorems for twists of L-functions of elliptic curves. II
Mathematical Modelling and Analysis, 2012 In the paper, a limit theorem for the argument of twisted with Dirichlet character L-functions of elliptic curves with an increasing modulus of the character is proved.
Virginija Garbaliauskienė +1 more
doaj +3 more sources
The Distribution of Central Values of Elliptic Curve L-Functions
Journal of Number Theory, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Matthew P Young
exaly +3 more sources
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
doaj +4 more sources
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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-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.
Oyono, Roger +2 more
openaire +2 more sources
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
doaj +1 more source
The Joint Universality for L-Functions of Elliptic Curves [PDF]
Nonlinear Analysis: Modelling and Control, 2004 A joint universality theorem in the Voronin sense for L-functions of elliptic curves over the field of rational numbers is proved.
Garbaliauskienė, Virginija +2 more
openaire +4 more sources
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
doaj +1 more source