"Weak yet strong'' restrictions of Hindman's Finite Sums Theorem

We present a natural restriction of Hindman’s Finite Sums Theorem that admits a simple combinatorial proof (one that does not also prove the full Finite Sums Theorem) and low computability-theoretic and proof-theoretic upper bounds, yet implies the existence of the Turing Jump, thus realizing the only known lower bound for the full Finite Sums Theorem. This is the first example of this kind. In fact we isolate a rich family of similar restrictions of Hindman’s Theorem with analogous propertie

Cuspidal divisor class groups of non-split Cartan modular curves

I find an explicit description of modular units in terms of Siegel functions for the modular curves $X^+_{ns}(p^k)$ associated to the normalizer of a non-split Cartan subgroup of level $p^k$ where $p\not=2,3$ is a prime. The Cuspidal Divisor Class Group $\mathfrak{C}^+_{ns}(p^k)$ on $X^+_{ns}(p^k)$ is explicitly described as a module over the group ring $R = \mathbb{Z}[(\mathbb{Z}/p^k\mathbb{Z})^*/\{\pm 1\}]$. In this paper I give a formula involving generalized Bernoulli numbers $B_{2,\chi}$ for $|\mathfrak{C}^+_{ns}(p^k)|$.Comment: 35 page

First implications of LHCb data on models beyond the Standard Model

We discuss the theoretical and experimental details of two of the main results obtained by LHCb with the 2011 data, namely the measurement of the mixing-induced CP-violation in the decay B_s -> J/psi phi and the upper limits on the decays B_(s) -> mu+ mu-. Then we describe the possible strategies to obtain new constraints on two different New Physics models in the light of these results.Comment: 5 pages, Proceedings of "QCD@Work 2012" - June 18-21, 2012 - Lecce (Italy

On the large order behaviour of the Potts model

Following the work by Houghton, Reeve and Wallace about an alternative formulation of the $n \to 0$ limit of the $(n+1)$ state Potts model in field theory for the large order behaviour of the perturbative expansion, we generalise their technique to all $n$ by establishing an equivalence in perturbation theory order by order with another bosonic field theory. Restricting ourselves to a cubic interaction, we obtain an explicit expression (in terms of~$n$) for the large order behaviour of the partition function.Comment: 16 pages, require TeXdra

Organizational Climate as Performance Driver: Health Care Workers’ Perception in a Large Hospital

Recently health care (HC) organizations have increasingly embarked on organizational climate (OC) assessment with the intent to improve their efficiency and the quality of the delivered services. This is important; however, it is even if more crucial to ensure that workers engaged in the evaluation process are aware of the importance of their fruitful engagement in this investigation as well as of its potential benefits. From the management viewpoint, this is crucial to plan and implement management initiatives able to create a great place to work. The purpose of this paper is to shed empirical light on how, in effect, HC workers perceive OC for itself and as a performance driver to assess and manage. The study was carried out through an action research (AR) project, which included the use of both qualitative and quantitative approaches. Key phases of the AR project were some focus groups and a survey. During the focus groups, several methods and approaches were adopted for getting opinions from people and animating discussion. About the survey, a total sample of 560 HC workers was investigated. The AR project has shown that even if HC workers intuitively conceive OC as an important performance driver, the meaning of the construct is not completely clear. Moreover, a good level of awareness among HC workers about how and why OC can improve individual and organizational performance represents a key issue to address in evaluating and managing OC