A JOINT ELLIOTT TYPE THEOREM FOR TWISTS OF L-FUNCTIONS OF ELLIPTIC CURVES

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.

A JOINT LIMIT THEOREM FOR PERIODIC HURWITZ ZETA-FUNCTIONS WITH ALGEBRAIC IRRATIONAL PARAMETERS

In the paper, a joint limit theorem for weakly convergent probability measures in ℂ r for periodic Hurwitz zeta-functions with algebraic irrational parameters satisfying certain independence conditions is obtained.

A joint limit theorem for zeta-functions of newforms

In the paper a joint limit theorem for zeta-functions of newforms on the complex plane is proved.

A Joint Limit Theorem for Laplace Transforms of the Riemann Zeta–Function

In the paper, a joint limit theorem in the sense of weak convergence of probability measures on the complex plane for Laplace transforms of the Riemann zetafunction is obtained.

On Joint Distribution of General Dirichlet Series

In the paper a joint limit theorem in the sense of the weak convergence in the space of meromorphic functions for general Dirichlet series is proved under weaker conditions as in [1].