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q-identities of Fu and Lascoux proved by the q-rice formula
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Helmut ProdingerTwo recent q-identities of Fu and Lascoux are proved by the q-Rice formula. -
A Wilf-Zeilberger Approach to Sums of Choi, Zörnig and Rathie
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Samantha Dahlberg --- Department of Mathematics, USA Timothy Ferdinands --- Department of Mathematics and Statistics, USA Akalu Tefera --- Department of Mathematics, USAIn this paper we present elegant and elementary proofs of identities that involve sums of the type in the title using Zeilberger's algorithm and the Wilf-Zeilberger proof style. -
Encountering, explaining and refuting essentialism
Item type: Journal Article • Journal: Anthropology Southern Africa • Authors: Jonatan Kurzwelly --- , South Africa Nigel Rapport --- , United Kingdom Andrew D. Spiegel --- , South AfricaEssentialism manifests itself in a diversity of forms and is used in multiple ways. Yet it is always potentially dangerous — even when it is mobilised strategically and in apparently worthy forms for purposes of overcoming oppressive structures. As the... -
Domestic stigmatisation: refocusing interventions for people living with HIV
Item type: Journal Article • Journal: African Journal of AIDS Research • Authors: Laura Ann Chubb --- , New Zealand Christa B Fouché --- , New ZealandDomestic stigmatisation serves as an umbrella term for acts of enacted or felt stigma experienced in a person’s domestic environment. This article reports on the term which transpired from a narrative inquiry in 2011 with people living with HIV (PLWH)... -
Linear inequalities concerning the sum of the distinct parts congruent to r modulo m in all the partitions of n
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Mircea Merca --- University Politehnica of Bucharest, RomaniaWe investigate the sum of the parts congruent to r modulo m counted without multiplicity in all the partitions of n. Considering truncated theta series, we introduce a collection of infinite families of linear inequalities involving this sum. We provide... -
Proofs of three conjectured internal congruences modulo 32 for Schur-type overpartitions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Weifeng Gao --- School of Mathematical Sciences, Suzhou University of Science and Technology, P.R. China Olivia X.M. Yao --- School of Mathematical Sciences, Suzhou University of Science and Technology, P.R. ChinaLet S(n) denote the number of overpartitions of Schur-type. Recently, Chern, da Silva and Sellers proved many congruences modulo 8 and 16 for S(n). At the end of their paper, they also posed a conjecture on internal congruences modulo 32... -
A sociolinguistic inquiry into code-switching in Tshivenḓa in beerhall environments
Item type: Journal Article • Journal: South African Journal of African Languages • Authors: Matodzi Godfrey Sikhwari --- University of Venda, South AfricaThis research article explores code-switching practices in Tshivenḓa-speaking beerhall environments, focusing on the sociolinguistic factors that influence language use. Code-switching, the alternation between languages during conversations, is common in multilingual settings. Beerhalls provide a unique, informal space to observe how...