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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 as q → ∞. The limit measure is given explicitly.

We consider a collection ofL-functions of elliptic curves twisted by a Dirichlet character moduloq(qis a prime number), and prove for this collection a joint limit theorem for weakly convergent probability measures in the space of analytic functions asq→ ∞. The limit measure is given explicitly. [ABSTRACT FROM PUBLISHER]

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.

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.

In the paper, a limit theorem for weakly convergent probability measures on the complex plane for twisted with Dirichlet characterL-functions of elliptic curves with an increasing modulus of the character is proved. [ABSTRACT FROM PUBLISHER]

In this paper, we prove a multidimensional limit theorem for moduli of twists ofL-functions of elliptic curves. The limit measure in this theorem is defined by the characteristic transforms. [ABSTRACT FROM PUBLISHER]

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.

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. [ABSTRACT FROM PUBLISHER]