This paper investigates a generalization the classical Hurwitz zeta function. It is shown that many of the properties exhibited by this special function extends to class of functions called hypergeometric Hurwitz zeta functions, including their analytic continuation to the complex plane and a pre-functional equation satisfied by them. As an application, a formula for moments of hypergeometric H...

Observing a multiple version of the divisor function we introduce a new zeta function which we call a multiple finite Riemann zeta function. We utilize some q-series identity for proving the zeta function has an Euler product and then, describe the location of zeros. We study further multi-variable and multi-parameter versions of the multiple finite Riemann zeta functions and their infinite cou...

Globin gene switching is a well-described model of eucaryotic developmental control. In the case of the human alpha-globin gene cluster, migration of erythropoietic activity from the embryonic yolk sac to the fetal liver is parallaled by the zeta-globin gene silencing and enhanced expression of the alpha-globin genes. To map critical cis determinants of this switch, the human zeta-globin gene, ...

The zeta-dimension of a set A of positive integers is Dimζ(A) = inf{s | ζA(s) < ∞}, where ζA(s) = ∑ n∈A n. Zeta-dimension serves as a fractal dimension on Z that extends naturally and usefully to discrete lattices such as Z, where d is a positive integer. This paper reviews the origins of zeta-dimension (which date to the eighteenth and nineteenth centuries) and develops its basic theory, with ...

Influence of aqueous phase properties and process parameters on kaolinite particle zeta potential was quantified by electrophoresis experiments. The results indicated that pH strongly altered the zeta potential of kaolinite and it decreases at the beginning and then increases in the range of pH = 2–13. The activity of different cations changes the zeta potential and has the following tendency o...

The postsegregational killing system of pSM19035 plasmid consists of the proteins Zeta and Epsilon, a toxin and an antidote, respectively. Zeta mutants were isolated with the use of Bacillus subtilis strain with the zeta gene under control of an inducible promoter integrated into the chromosome. Results of mutant analysis point to the amino terminal part of the Zeta protein as being responsible...