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.

* Correspondence: [email protected] Max Planck Institute for Demographic Research, Demographic Research Centre, Vytautas Magnus University, Rostock, Germany Full list of author information is available at the end of the article Fig. 3 Linkage rates of deaths above age a according to sex and educational attainment, Lithuania, 2001–2011. Source: Census-linked mortality data Lithuania, 2001–2011...

Moduli spaces of stable coherent sheaves on a surface are of much interest for both mathematics and physics. Yoshioka computed generating functions of Poincaré polynomials of such moduli spaces if the surface is P and the rank of the sheaves is 2. Motivated by physical arguments, this paper investigates the modular properties of these generating functions. It is shown that these functions can b...