A two-dimensional limit theorem for Lerch zeta-functions. II

Limit Theorem with Weight for Lerch Zeta Function

Joint Value-distribution Theorems on Lerch Zeta-functions. Ii

We give corrected statements of some theorems from [5] and [6] on joint value distribution of Lerch zeta-functions (limit theorems, universality, functional independence). We also present a new direct proof of a joint limit theorem in the space of analytic functions and an extension of a joint universality theorem.

Zeta functions for two-dimensional shifts of finite type

This work is concerned with zeta functions of two-dimensional shifts of finite type. A two-dimensional zeta function ζ0(s) which generalizes the Artin-Mazur zeta function was given by Lind for Z2-action φ. The n-th order zeta function ζn of φ on Zn×∞, n ≥ 1, is studied first. The trace operator Tn which is the transition matrix for x-periodic patterns of period n with height 2 is rotationally s...

A Central Limit Theorem for Belief Functions

The purpose of this Note is to prove a form of CLT (Theorem 1.4) that is used in Epstein and Seo (2011). More general central limit results and other applications will follow in later drafts. Let S = fB;Ng and K (S) = ffBg; fNg; fB;Ngg the set of nonempty subsets of S. Denote by s1 = (s1; s2; :::) the generic element of S1 and by n (s1) the empirical frequency of the outcome B in the …rst n exp...

Geometric Studies on Inequalities of Harmonic Functions in a Complex Field Based on ξ-Generalized Hurwitz-Lerch Zeta Function

Authors, define and establish a new subclass of harmonic regular schlicht functions (HSF) in the open unit disc through the use of the extended generalized Noor-type integral operator associated with the ξ-generalized Hurwitz-Lerch Zeta function (GHLZF). Furthermore, some geometric properties of this subclass are also studied.