A note on the sign (unit root) ambiguities of Gauss sums in index 2 and 4 cases

Recently, the explicit evaluation of Gauss sums in the index 2 and 4 cases have been given in several papers (see [2,3,7,8]). In the course of evaluation, the sigh (or unit root) ambiguities are unavoidably occurred. This paper presents another method, different from [7] and [8], to determine the sigh (unit root) ambiguities of Gauss sums in the index 2 case, as well as the ones with odd order in the non-cyclic index 4 case. And we note that the method in this paper are more succinct and effective than [8] and [7]

Complete Solving for Explicit Evaluation of Gauss Sums in the Index 2 Case

Let $p$ be a prime number, $q=p^f$ for some positive integer $f$, $N$ be a positive integer such that $\gcd(N,p)=1$, and let \k be a primitive multiplicative character of order $N$ over finite field \fq. This paper studies the problem of explicit evaluation of Gauss sums in "\textsl{index 2 case}" (i.e. f=\f{\p(N)}{2}=[\zn:\pp], where \p(\cd) is Euler function). Firstly, the classification of the Gauss sums in index 2 case is presented. Then, the explicit evaluation of Gauss sums G(\k^\la) (1\laN-1) in index 2 case with order $N$ being general even integer (i.e. N=2^{r}\cd N_0 where $r,N_0$ are positive integers and $N_03$ is odd.) is obtained. Thus, the problem of explicit evaluation of Gauss sums in index 2 case is completely solved

The old man and the letter: repertoires of literacy and languaging in a modern multiethnic Gambian village

Recent developments mark a ‘human turn’ in sociolinguistics, i.e., a move away from languages as linguistic systems used by people, toward language or languaging as a sociolinguistic system performed by people. This article inscribes itself in that tradition and offers a micro-ethnographic analysis of a literacy event in rural Gambia. The incident relates to a letter that was ‘written’ by an old illiterate villager in the process of arranging a family member’s marriage. Although the event in itself is fairly insignificant and trivial, it is mobilised to gain an insight into the social and cultural organisation of literacy and languaging in this village. The old man’s letter is a typical moment of ‘grassroots literacy’ and is not ‘orthographic’ but ‘heterographic’ (reflecting more than one prescriptive regime) and ‘exographic’ (drawing on imported normativity). Local languaging here is not the sum of the local languages (Mandinka plus Jola plus Fula plus English) but is a complexly regimented repertoire in which different functions of language are distributed differently across languages and individuals

Afri-Can Forum 2

CITATION: Mukudu, H., et al. 2016. Afri-Can Forum 2. BMC Infectious Diseases, 16:315, doi:10.1186/s12879-016-1466-6.The original publication is available at https://bmcinfectdis.biomedcentral.comENGLISH ABSTRACT: We are pleased to present peer reviewed forum proceedings of the 2nd synchronicity forum of GHRI/CHVIfunded Canadian and African HIV prevention and vaccine teams Forum objectives ∙GHRI-funded capacity building and HIV prevention research teams presented highlights of achievements ∙Teams discussed how to jointly build on achievements for sustainability ∙Provided an opportunity for inter-team collaboration, synchronize best approach to capacity building, mentoring of new researchers and building leadership ∙Provided opportunities for informal discussions and networking among the teams. ∙Teams learnt about recent advances in the area of African regulatory and ethics review process ∙The forum proceedings was a special supplement in an openaccess journal was producedhttps://bmcinfectdis.biomedcentral.com/articles/supplements/volume-16-supplement-2Publisher's versio