Let L(s, χ) be either logL(s, χ) or L′/L(s, χ), associated with an (abelian) L-function L(s, χ) of a global field K. For any quasicharacter ψ : C → C× of the additive group of complex numbers, consider the average “Avgfχ=f” of ψ(L(s, χ)) over all Dirichlet characters χ on K with a given prime conductor f. This paper contains (i) study of the limit as N(f) → ∞ of this average, (ii) basic studies...

In this thesis we provide a body of knowledge that concerns Riemann zeta-function and its generalizations in a cohesive manner. In particular, we have studied and mentioned some recent results regarding Hurwitz and Lerch functions, as well as Dirichlet’s L-function. We have also investigated some fundamental concepts related to these functions and their universality properties. In addition, we ...