Negative quasiharmonic functions

Partition Statistics and Quasiharmonic Maass Forms

Andrews recently introduced k-marked Durfee symbols, which are a generalization of partitions that are connected to moments of Dyson’s rank statistic. He used these connections to find identities relating their generating functions as well as to prove Ramanujan-type congruences for these objects and find relations between. In this paper we show that the hypergeometric generating functions for t...

Cell Envelope Structure and Functions in Gram-negative Bacteria

First Principles Quasiharmonic Thermoelasticity of Mantle Minerals

Thermodynamic (Anderson 2005) and elastic properties (Musgrave 1970) of minerals provide the fundamental information needed to analyze seismic observations and to model Earth’s dynamic state. The connection between pressure, temperature, chemical composition, and mineralogy that produce seismic velocity gradients, heterogeneities, and discontinuities, can be established with knowledge of thermo...

Quasiharmonic elastic constants corrected for deviatoric thermal stresses

Pierre Carrier,1 João F. Justo,2 and Renata M. Wentzcovitch1 1Minnesota Supercomputing Institute, Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, USA 2Escola Politécnica, Universidade de São Paulo, CP 61548, CEP 05424-970 São Paulo, SP, Brazil and Chemical Engineering and Materials Science Department, University of Minnesota, Minn...

PolyGamma Functions of Negative Order

Liouville's fractional integration is used to de ne polygamma functions (z) for negative integer n. It's shown that such (z) can be represented in a closed form by means of the rst derivatives of the Hurwitz Zeta function. Relations to the Barnes G-function and generalized Glaisher's constants are also discussed.