1,720,956 research outputs found
Runs of integers with constant values of the Carmichael function
Get PDFIn 2023, the first author and Vandehey proved that the largest for which
the string of equalities holds
for some , where is the Carmichael function, is
bounded above by . Their method involved
bounding the value of from below using the prime factorization
of for each . They then used the fact that every had to satisfy this bound. Here we improve their result by incorporating a
reverse counting argument on a result of Baker and Harman on the largest prime
factor of a shifted prime
On the th smallest part of a partition into distinct parts
Get PDFA classic theorem of Uchimura states that the difference between the sum of
the smallest parts of the partitions of into an odd number of distinct
parts and the corresponding sum for an even number of distinct parts is equal
to the number of divisors of . In this article, we initiate the study of the
th smallest part of a partition into distinct parts of any integer
, namely . Using , we generalize the above result for
the th smallest parts of partitions for any positive integer and show
its connection with divisor functions for general and derive interesting
special cases. We also study weighted partitions involving with
another parameter , which helps us obtain several new combinatorial and
analytical results. Finally, we prove sum-of-tails identities associated with
the weighted partition function involving
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
A note on Golomb topologies
No full textIn 1959 Golomb dened a connected topology on Z. An analogous Golomb topology on an arbitrary integral domain was dened rst by Knopfmacher- Porubsky [KP97] and then again in a recent work of Clark [Cl17]. Here we study properties of Golomb topologies.Mathematics Subject Classication (2010): 13G05, 54G99.Key words: Golomb space, Brown space, semiprimitive, homeomorphism problem
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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