1,720,956 research outputs found
Growth of torsion groups of elliptic curves upon base change from number fields
Full text linkGiven a number field that contains no Hilbert class field of any imaginary quadratic field, we show that under GRH there exists an effectively computable constant for which the following holds: for any finite extension whose degree is coprime to , one has for all elliptic curves that the -rational torsion subgroup . This generalizes a previous result of González-Jiménez and Najman over .
Towards showing this, we also prove a result on relative uniform divisibility of the index of a mod- Galois representation of an elliptic curve over . Additionally, we show that the main result\u27s conclusion fails when we allow to have rationally defined CM, due to the existence of -rational isogenies of arbitrarily large prime degrees satisfying certain congruency conditions.18 page
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe 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
New isogenies of elliptic curves over number fields
Full text linkWe analyze the fields of definition of cyclic isogenies on elliptic curves to
prove the following uniformity result: for any number field which
satisfies an isogeny condition, there exists a constant
such that for any finite extension whose
degree is coprime to , one has for all elliptic curves
with -invariant that any -rational cyclic isogeny on
must be -rational. We also prove unconditional results for the mod-
Galois representations of non-CM elliptic curves with an -rational
-isogeny when is uniformly large.Comment: 15 pages, added a specific isogeny conditio
Polynomial bounds on torsion from a fixed geometric isogeny class of elliptic curves
Full text linkWe show there exist polynomial bounds on torsion of elliptic curves which
come from a fixed geometric isogeny class. More precisely, for an elliptic
curve defined over a number field , for each there
exist constants
such that
for any elliptic curve geometrically isogenous to , if has
a point of order then and one also has Comment: 8 pages. Improves the bounds in Theorem 1, and strengthens an
additional result (which is now Corollary 4 for adelic indices
Variations on the Author
Full text link“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
Full text linkWe 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
Full text linkWe 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
koamabayili/VECTRON-author-checklist: VECTRON author checklist
No full textWe have done our best to complete the author checklist relating to the use of animals in the hut study. Note that the objective for the hut study was to evaluate the IRS treatment applications for residual efficacy against Anopheles mosquitoes, including the local An. coluzzii mosquito population. Cows were only used to attract mosquitoes into the huts and no tests were carried out directly on the cows. The author checklist is intended for use with studies where experiments are carried out on animals, which is why we have had such difficulty in completing this for the hut study, as many of the questions do not relate to how the cows were used
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