Abstract
We prove some value-distribution results for a class of L-functions with rational moving targets. The class contains Selberg class, as well as the Riemann-zeta function.
Highlights
We define the class to be the collection of functions L s n 1 a nns, satisfying Ramanujan hypothesis, Analytic continuation and Functional equation
We prove some value-distribution results for a class of L-functions with rational moving targets
We refer the reader to Chapter six of [1] for a complete definitions
Summary
Ns , satisfying Ramanujan hypothesis, Analytic continuation and Functional equation. We denote the degree of a function L by dL which is a non-negative real number. We refer the reader to Chapter six of [1] for a complete definitions. Every function in the class is an L -function and the Riemann-zeta function is in the class. We prove a value-distribution theorem for the class with rational moving targets. The theorem generalizes the value-distribution results in Chapter seven of [1]. O logT , as T. where the given logarithm is defined as in Littlewood’s argument principle [3]. We first decompose our auxiliary function by
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