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Goss, L T, VX18600
No full textThis record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/388313Surname: GOSS. Given Name(s) or Initials: L T. Military Service Number or Last Known Location: VX18600. Missing, Wounded and Prisoner of War Enquiry Card Index Number: 42504.211083
Item: [2016.0049.20606] "Goss, L T, VX18600
Convolutions Goss L-Series and Tensor Products of Drinfeld Modules
No full textWe present special value results of convolutions of Goss and Pellarin L-series attached to Drinfeld modules that take values in Tate algebras by Papanikolas and the author. Following the same framework, we establish special value results of convolutions of two Goss L-series attached to Drinfeld modules that take values in Fq(( 1/�� )). Applying the class module formula of Fang to tensor products of two Drinfeld modules, we provide special value formulas for their L-functions. By way of the theory of Schur polynomials these identities take the form of specializations of convolutions of Rankin-Selberg type. Finally, we show an explicit computation on regulators of tensor product as well as symmetric and alternating squares of Drinfeld modules, which appear in the Fang���s class module formula
Special Values of the Goss L-function and Special Polynomials
Get PDFLet K be the function field of an irreducible, smooth projective curve X defined over Fq. Let [lemniscate] be a fixed point on X and let A [a subset of or is equal to] K be the Dedekind domain of functions which are regular away from [lemniscate]. Following the work of Greg Anderson, we define special polynomials and explain how they are used to define an A-module (in the case where the class number of A and the degree of [lemniscate] are both one) known as the module of special points associated to the Drinfeld A-module [rho]. We show that this module is finitely generated and explicitly compute its rank. We also show that if K is a function field such that the degree of [lemniscate] is one, then the Goss L-function, evaluated at 1, is a finite linear combination of logarithms evaluated at algebraic points. We conclude with examples showing how to use special polynomials to compute special values of both the Goss L-function and the Goss zeta function
On the transcendence of special values of Goss -functions attached to Drinfeld modules
Get PDFLet be the finite field with elements and consider the rational function field . For a Drinfeld module defined over , we study the transcendence of special values of the Goss -function attached to the abelian -motive of . Moreover, when is a Drinfeld module of rank defined over which has everywhere good reduction, we prove that the value of the Goss -function attached to the -st exterior power of at any positive integer is transcendental over .22 pages. The work in v2 of arXiv:2110.02569 has been divided into two papers: arXiv:2407.18916 and v3 of arXiv:2110.02569. The paper arXiv:2407.18916 includes generalizations of the results in section 4, section 5, and the appendix of v2 of arXiv:2110.0256
Tensor products of Drinfeld modules and convolutions of Goss -series
Get PDFFollowing the same framework of the special value results of convolutions of
Goss and Pellarin -series attached to Drinfeld modules that take values in
Tate algebras by Papanikolas and the author, we establish special value results
of convolutions of two Goss -series attached to Drinfeld modules that take
values in Applying the class module
formula of Fang to tensor products of two Drinfeld modules, we provide special
value formulas for their -functions. By way of the theory of Schur
polynomials these identities take the form of specializations of convolutions
of Rankin-Selberg type. Finally, we show an explicit computation of the
regulators appearing in Fang's class module formula for tensor products as well
as symmetric and alternating squares of Drinfeld modules.Comment: arXiv admin note: substantial text overlap with arXiv:2206.1493
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
Get PDF“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
Appropriate Similarity Measures for Author Cocitation Analysis
Get PDFWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
Dispelling the Myths Behind First-author Citation Counts
Get PDFWe conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued
use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation
counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more
sophisticated methods
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