TRANSFORMATION OF FALLOW SYSTEMS UNDER POPULATION PRESSURE

In a fallow-cultivation model with biomass regeneration, we find the population-poverty-degradation linkage via the discount rate: slight increases in the discount rate result in increased cropping frequency and much lower soil fertility. Aggregating gives transitions equation declining in fertility and increasing in the fallow:cultivation ratio.Land Economics/Use,

Electronic access to documents and publications on the European Union: The role of the Archive of European Integration

The Archive of European Integration (AEI) at http://aei.pitt.edu is an electronic Open Access repository and archive for key research materials on the topic of European integration and unification which have traditionally existed only in paper format and have been difficult for researchers to find and use. Factors leading to the creation of the AEI at the University of Pittsburgh are described and a detailed overview of the contents of the AEI and their sources is provided, including official EU documents and a wealth of grey literature about the EU. The role of the AEI in providing access to EU research materials and the relationship of the AEI to other online sources is explored. Projected growth and enhancement of the AEI is described

A log-free zero-density estimate and small gaps in coefficients of LL-functions

Let $L(s, \pi\times\pi^\prime)$ be the Rankin--Selberg $L$-function attached to automorphic representations $\pi$ and $\pi^\prime$. Let $\tilde{\pi}$ and $\tilde{\pi}^\prime$ denote the contragredient representations associated to $\pi$ and $\pi^\prime$. Under the assumption of certain upper bounds for coefficients of the logarithmic derivatives of $L(s, \pi\times\tilde{\pi})$ and $L(s, \pi^\prime\times\tilde{\pi}^\prime)$, we prove a log-free zero-density estimate for $L(s, \pi\times\pi^\prime)$ which generalises a result due to Fogels in the context of Dirichlet $L$-functions. We then employ this log-free estimate in studying the distribution of the Fourier coefficients of an automorphic representation $\pi$. As an application we examine the non-lacunarity of the Fourier coefficients $b_f(p)$ of a modular newform $f(z)=\sum_{n=1}^{\infty} b_f(n) e^{{2\pi i n z}}$ of weight $k$, level $N$, and character $\chi$. More precisely for $f(z)$ and a prime $p$, set $j_f(p):=\max_{x;~x> p} J_{f} (p, x)$, where $J_{f} (p, x):=\#\{{\rm prime}~q;~a_{\pi}(q)=0~{\rm for~all~}p<q\leq x\}.$ We prove that $j_f(p)\ll_{f, \theta} p^\theta$ for some $0<\theta<1$

Creative Disruption: Sabbaticals for Capacity Building and Leadership Development in the Nonprofit Sector

Based on a survey, examines the outcomes of sabbaticals for nonprofit leaders, their organizations, leadership transitions, and sponsoring foundations, as well as lessons learned and challenges. Includes case studies