title: The holomorphic flow of Riemann’s function ξ(z)

authors: Broughan, Kevin A.

subjects: Riemann’s function Xi(s)

abstract: The holomorphic flow z = ξ(z) of Riemann’s xi function is considered. Phase portraits are plotted and the following results, suggested by the portraits, proved: all separatrices tend to the positive and/or negative real axes. These are an infinite number of crossing separatrices. In the region between each pair of crossing separatrices- a band- there is at most one zero on the critical line. All zeros on the critical line are centres or have all elliptic sectors. The flows for ξ(z) and cosh (z) are linked with a differential equation. Simple zeros on the critical line and Gram points never coincide. The Riemann hypothesis is equivalent to all zeros being centres or multiple together with the non-existence of separatices which enter and leave a band in the same half plane.

text: The holomorphic flow of Riemann’s function ξ(z) The holomorphic flow z = ξ(z) of Riemann’s xi function is considered. Phase portraits are plotted and the following results, suggested by the portraits, proved: all separatrices tend to the positive and/or negative real axes. These are an infinite number of crossing separatrices. In the region between each pair of crossing separatrices- a band- there is at most one zero on the critical line. All zeros on the critical line are centres or have all elliptic sectors. The flows for ξ(z) and cosh (z) are linked with a differential equation. Simple zeros on the critical line and Gram points never coincide. The Riemann hypothesis is equivalent to all zeros being centres or multiple together with the non-existence of separatices which enter and leave a band in the same half plane.

year: 2005

title: The postcolonial lesbian text: readings of four novels by Renée

authors: Sayer, Susan

abstract: This thesis addresses the question: “How might a text, written in a signifying relationship to the postcolonial nation Aotearoa New Zealand, be read as a lesbian text?” Part One addresses the possibility of the reading postcolonial lesbian text in four novels by Renée. It begins with an overview of humanist and poststructuralist reading and writing strategies which are contested within a contemporary Western lesbian literary field. At an intersection of poststructuralist and postcolonial debates I identify the potential for a queer reading strategy to disrupt lesbian humanist discourses by bringing the term lesbian into a textual relationship with the categories of (at least) sex, gender, sexuality, race and class. 

Also in Part One, I locate the four novels by Renée in the context of a New Zealand lesbian literature which is not widely recognised. I demonstrate how the hostile reception of four novels by Renée has been characterised by a colonialist discourse which manifests as the vestiges of a colonialist literary aesthetic operating in a contemporary culture sphere. Part One also outlines the strategy I have developed for reading the four novels by Renée. This strategy was originally formulated by Roland Barthes for rereading the classic text. The classic textual model is located within a Western humanist system of representation, the cornerstone of which is the Western humanist subject. Firstly, I adapt Barthes’s strategy to a rereading of three short colonialist texts, texts which promote a relationship of agreement with the reader as to the cultural and symbolic authority of the British Empire. This rereading strategy makes it possible to read the privileged Western humanist subject as always and already sexed-gendered-sexualised-classed-raced variously male-masculine-hetero-bourgeoisie-white. Barthes also offers a strategy for reading the writerly text. In contrast with the classic text, the writerly text positions the reader as a producer rather than as a consumer of the text.

Secondly, in Part Two I demonstrate how a queer reading strategy can be productively applied to texts written in signifying relationships to a postcolonial context. In my reading of the four novels by Renée I demonstrate how each is characterised by a writerly approach to the constitution of colonialist subjectivities, these writerly texts being unlike classic colonialist texts in that they foreground the traces of cultural and symbolic inscription in colonialist discourses. I demonstrate, for example, how in the writerly text of each of the four novels the British Empire is connotatively signified in relation to family, home and nation in colonialist discourses. In each of the four novels, lesbian and other queer subjectivities are also discursively reconstituted in signifying relationships to colonialist texts of family, home, nation and empire. I demonstrate how, in relation to signifying imperatives of colonialist discourses, the novels are characterised by a postcolonial textuality which manifests the symbolic and cultural authority of the British Empire. It is my thesis that the four novels by Renée are writerly texts which foreground the traces of an earlier British textual imperialism operating in the postcolonial nation Aotearoa New Zealand. My queer reading of four novels by Renée also makes manifest the postcolonial lesbian text.

text: The postcolonial lesbian text: readings of four novels by Renée This thesis addresses the question: “How might a text, written in a signifying relationship to the postcolonial nation Aotearoa New Zealand, be read as a lesbian text?” Part One addresses the possibility of the reading postcolonial lesbian text in four novels by Renée. It begins with an overview of humanist and poststructuralist reading and writing strategies which are contested within a contemporary Western lesbian literary field. At an intersection of poststructuralist and postcolonial debates I identify the potential for a queer reading strategy to disrupt lesbian humanist discourses by bringing the term lesbian into a textual relationship with the categories of (at least) sex, gender, sexuality, race and class. 

Also in Part One, I locate the four novels by Renée in the context of a New Zealand lesbian literature which is not widely recognised. I demonstrate how the hostile reception of four novels by Renée has been characterised by a colonialist discourse which manifests as the vestiges of a colonialist literary aesthetic operating in a contemporary culture sphere. Part One also outlines the strategy I have developed for reading the four novels by Renée. This strategy was originally formulated by Roland Barthes for rereading the classic text. The classic textual model is located within a Western humanist system of representation, the cornerstone of which is the Western humanist subject. Firstly, I adapt Barthes’s strategy to a rereading of three short colonialist texts, texts which promote a relationship of agreement with the reader as to the cultural and symbolic authority of the British Empire. This rereading strategy makes it possible to read the privileged Western humanist subject as always and already sexed-gendered-sexualised-classed-raced variously male-masculine-hetero-bourgeoisie-white. Barthes also offers a strategy for reading the writerly text. In contrast with the classic text, the writerly text positions the reader as a producer rather than as a consumer of the text.

Secondly, in Part Two I demonstrate how a queer reading strategy can be productively applied to texts written in signifying relationships to a postcolonial context. In my reading of the four novels by Renée I demonstrate how each is characterised by a writerly approach to the constitution of colonialist subjectivities, these writerly texts being unlike classic colonialist texts in that they foreground the traces of cultural and symbolic inscription in colonialist discourses. I demonstrate, for example, how in the writerly text of each of the four novels the British Empire is connotatively signified in relation to family, home and nation in colonialist discourses. In each of the four novels, lesbian and other queer subjectivities are also discursively reconstituted in signifying relationships to colonialist texts of family, home, nation and empire. I demonstrate how, in relation to signifying imperatives of colonialist discourses, the novels are characterised by a postcolonial textuality which manifests the symbolic and cultural authority of the British Empire. It is my thesis that the four novels by Renée are writerly texts which foreground the traces of an earlier British textual imperialism operating in the postcolonial nation Aotearoa New Zealand. My queer reading of four novels by Renée also makes manifest the postcolonial lesbian text.

year: 1998

title: Keynote Address: Barriers and incentives to Māori participation in the profession of psychology

authors: Levy, Michelle Patricia

subjects: Maori

abstract: It is well known that Māori are overrepresented
within the client group of
psychologists. Despite ongoing attempts to
recruit and retain more Māori within the
discipline of psychology, the numbers of
Māori psychologists continues to remain
low, raising serious concerns about the
ability of the profession to effectively meet
the needs of its clientele. The objectives of this study were to
identify the, barriers to, and incentives for improving the recruitment and retention
of Māori in the profession of
psychology and Māori to gain and maintain registration
as psychologists. This paper is
based on the full report provided to the
New Zealand Psychologists’ Board. The findings in this study
clearly demonstrate that in order to attract
Māori to participate in psychology, the
majority of environments need to change
substantially. It is simply not enough for
organisations, whether they are educational, professional, or service delivery agencies,
to identify the need for more Māori
psychologists, yet still fail to commit to,
and actively engage in, altering long
identified environmental factors that are
barriers to Māori participation.

text: Keynote Address: Barriers and incentives to Māori participation in the profession of psychology It is well known that Māori are overrepresented
within the client group of
psychologists. Despite ongoing attempts to
recruit and retain more Māori within the
discipline of psychology, the numbers of
Māori psychologists continues to remain
low, raising serious concerns about the
ability of the profession to effectively meet
the needs of its clientele. The objectives of this study were to
identify the, barriers to, and incentives for improving the recruitment and retention
of Māori in the profession of
psychology and Māori to gain and maintain registration
as psychologists. This paper is
based on the full report provided to the
New Zealand Psychologists’ Board. The findings in this study
clearly demonstrate that in order to attract
Māori to participate in psychology, the
majority of environments need to change
substantially. It is simply not enough for
organisations, whether they are educational, professional, or service delivery agencies,
to identify the need for more Māori
psychologists, yet still fail to commit to,
and actively engage in, altering long
identified environmental factors that are
barriers to Māori participation.

year: 2003