The hybrid mean value of Dedekind sums and two-term exponential sums

In this paper, we use the mean value theorem of Dirichlet L-functions, the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the two-term exponential sums, and give an interesting identity and asymptotic formula for it

A Method of Evaluating Ecological Compensation Under Different Property Rights and Stages: A Case Study of the Xiaoqing River Basin, China

To solve the problem of unitary ecological compensation standards in river basins by scientifically clarifying the compensation for ecological protection investments and for pollution, this research divided ecological environment property relations between the upstream and downstream into three types: downstream ecological compensation for the upstream, upstream ecological compensation for the downstream and sharing the rights of the ecological environment. The various compensation standards were divided into three stages according to the location quotient and pollutant concentration. Calculation and analysis were performed for the ecological compensation of the Xiaoqing River Basin at the junction of Jinan City and Binzhou City of Shandong Province as an example. The results showed that: (1) the downstream compensations for the three stages were 2.139 billion yuan, 2.349 billion yuan and 2.489 billion yuan when only the downstream ecological compensation for the upstream was considered; (2) the compensations for the three stages were 88 million yuan, 107 million yuan, 124 million yuan when only the upstream ecological compensation for the downstream was considered; and (3) the compensations in the three stages were 2.051 billion yuan, 2.242 billion yuan, 2.365 billion yuan when ecological environment rights were shared. Under this property relation, the ecological compensation standard considering water quality and water yield and the goal of ecological environmental protection are clear and the content of compensation is complete, which is easily accepted by all parties

Neglecting legumes has compromised human health and sustainable food production

The United Nations declared 2016 as the International Year of Pulses (grain legumes) under the banner ‘nutritious seeds for a sustainable future’. A second green revolution is required to ensure food and nutritional security in the face of global climate change. Grain legumes provide an unparalleled solution to this problem because of their inherent capacity for symbiotic atmospheric nitrogen fixation, which provides economically sustainable advantages for farming. In addition, a legume-rich diet has health benefits for humans and livestock alike. However, grain legumes form only a minor part of most current human diets and legume crops are greatly under-utilized. Food security and soil fertility could be significantly improved by greater grain legume usage and increased improvement of a range of grain legumes. The current lack of coordinated focus on grain legumes has compromised human health, nutritional security and sustainable food production