We generalize the results of the first part of the paper by Kiritchenko, Tsfasman, Vlăduţ and Zakharevich on quadratic residue patterns to the case of arbitrary words over the alphabet {R, N} of length l = 4 and l = 5. First, we obtain explicit formulas for the number of occurrences of a given pattern S in the sequence of quadratic residues and nonresidues modulo a prime p. These formulas are expressed in terms of Frobenius traces on a finite collection of low-genus hyperelliptic curves. Second, using a generalized Sato-Tate approach, we describe the limiting distributions of the normalized error term for l = 4.
The work proves that, for three-dimensional upper triangular groups over a field of odd characteristic with an abelian unipotent subgroup, the ring of invariants is polynomial if and only if the unipotent subgroup is generated by pseudoreflections or does not contain transvections.
L’échelle de mesure générique des croyances conspirationnistes permet d’appréhender les croyances conspirationnistes en général, mais ne permet pas de mesurer les croyances conspirationnistes spécifiques aux épidémies. Le présent article a pour objectif d’adapter et de valider une version française de la mesure des croyances conspirationnistes spécifiques aux épidémies, issue de la Generic Conspiracist Beliefs Scale (GCBS, Brotherton et al., 2013). Les données sont recueillies par questionnaire auprès de la population générale francophone (N = 1630), pendant la pandémie de la Covid-19, en utilisant 6 items issus de la GCBS en lien avec les épidémies. Une analyse factorielle exploratoire et confirmatoire réalisée sur deux sous-échantillons indépendants fait ressortir une structure unidimensionnelle de l’échelle, avec des indices de validité convergente et discriminante satisfaisants. En outre, les croyances conspirationnistes prédisent négativement l’efficacité perçue des mesures de prévention; ce qui confirme la validité prédictive de l’échelle. On discute de son intérêt et de son utilité pour le diagnostic des croyances conspirationnistes en temps de pandémie, comme celle de la Covid-19.
Despite the policy pursued by the Head of State and the government to improve the current healthcare system and certain successes achieved, the quality and availability of services provided by medical organizations to the Kazakhstan population remain low. This is evidenced by statements by officials, as well as a survey of the population. This article examines the primary trends in healthcare development with a particular focus on the urban-rural divide and proposes strategies to enhance service quality and accessibility in rural areas. Given the complexity of the tasks, both theoretical and empirical research methods were used in the research process, in particular economic and statistical methods and structural and institutional analysis. A special role in the study belongs to a sociological survey, which made it possible to obtain information about the quality and availability of medical services for various groups of the population, depending on their place of residence. Based on a comprehensive study, the main trends in the development of healthcare in the republic in recent years have been identified. It has been determined that in the context of the availability of medical services, the main gap lies along the rural-urban line. Based on the identified problems, recommendations were developed to eliminate them and improve the quality of medical services. Further, the study explores the attitudes towards medical treatment based on the place of residence, leading to targeted proposals to enhance the quality and accessibility of medical care in rural areas.
