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We prove a lower bound for the number of conductors q ≤ Q with q ≡ 1 (mod r) having t prime divisors of Dirichlet characters χ of fixed order r and with given values χ (p) for primes p ≤ B. We also give an elliptic curve variant of this result. [ABSTRACT FROM AUTHOR]

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]

A limit theorem involving an increasing modulus of the character is obtained for twists with the Dirichlet character of L-functions of elliptic curves. [ABSTRACT FROM AUTHOR]

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. [ABSTRACT FROM PUBLISHER]

We obtain a limit theorem for L-functions of elliptic curves twisted by Dirichlet characters with increasing modulus. [ABSTRACT FROM AUTHOR]