In this paper, we will give a uniform upper bound of the number of rational points of bounded height in non-singular curves by applying the global determinant method.
We prove the universality theorem for the iterated integrals of logarithms of $L$-functions in the Selberg class on some line parallel to the real axis.
We evaluate the integral mollified second moment of L-functions of primitive cusp forms and we obtain, for such L-function, an explicit positive proportion of zeros which lie on the critical line.
A characterization of multiplicative (and additive) arithmetical functions is given. Using this characterization, we show that the group of multiplicative arithmetical functions is isomorphic to the group of additive arithmetical functions.
In this paper I argue that nursing research is losing its way. There are a number of ways in which this is happening; for example, people are spending much more time writing about methodology than getting on with the research itself and the reporting of discovery. Here, I address the extent to which we are debilitating the research enterprise through what passes as ‘ethics’ and ‘governance’ . I will refer to examples from nursing and related research to illustrate the gradual development of greater concern for the well-being of research participants and the prevention of harm. I will go on to illustrate how, in comparison to the search for knowledge in the wider world, the health professions (and in the UK nurses in particular) are making research more difficult to execute than it needs to be. In the development of defensive rules and procedures we have somehow forgotten exactly from what harms we are protecting our patients, students and staff . For those looking for a theoretical background to my views, they are, in essence, consequential, and I hope to show that with a harms and benefits approach we could bring much common sense to the critical appraisal of previous research and the approval and conduct of nursing research now and in the future.