On the Hurwitz Zeta Function of Imaginary Second Argument

In this work we exploit Jonqui\`{e}re's formula relating the Hurwitz zeta function to a linear combination of polylogarithmic functions in order to evaluate the real and imaginary part of $\zeta_{H}(s,ia)$ and its first derivative with respect to the first argument $s$. In particular, we obtain expressions for the real and imaginary party of $\zeta_{H}(s,i a)$ and its derivative for $s=m$ with $m\in\mathbb{Z}\backslash\{1\}$ involving simpler transcendental functions.Comment: LaTeX, 15 page

Vacuum instability in Kaluza-Klein manifolds

The purpose of this work in to analyze particle creation in spaces with extra dimensions. We consider, in particular, a massive scalar field propagating in a Kaluza-Klein manifold subject to a constant electric field. We compute the rate of particle creation from vacuum by using techniques rooted in the spectral zeta function formalism. The results we obtain show explicitly how the presence of the extra-dimensions and their specific geometric characteristics, influence the rate at which pairs of particles and anti-particles are generated.Comment: 19 pages, LaTe

Do You Have A Boyfriend Yet?

“Do you have a boyfriend yet?” That was the question that haunted me for most of my teenage years, the one I knew I would be asked at each family event and have to answer as nonchalantly as I could, “No, not yet,” without letting anyone know how embarrassed I felt. The feelings of anguish and anxiety continued in games of “Never Have I Ever,” going around the table with a group of less-than-close girlfriends sharing some of our first or best romantic experiences, so grateful that I had those one or two experiences that “kind of counted but maybe not so I really hope no one asks me to go into detail.” [excerpt