1,720,954 research outputs found
On generalized modular forms supported on cuspidal and elliptic points
No full textSuppose N∈[13,17,19,21,26,29,31,34,39,41,49,50]. In this paper, we extend previous results of Kohnen-Mason (On the canonical decomposition of generalized modular functions, 2010) to prove that generalized modular forms for Γ 0(N) with rational Fourier expansions whose divisors are supported only at the cusps and at the elliptic points are actually classical modular forms. We discuss possible limitations to this extension and pose questions about possible zeroes for modular forms of prime level. © 2012 Springer Science+Business Media, LLC.Ahlgren S, 2009, P AM MATH SOC, V137, P1205; Birch B. J., 1975, LECT NOTES MATH, V476; BORCHERDS RE, 1992, INVENT MATH, V109, P405, DOI 10.1007-BF01232032; Bosma W, 1997, J SYMB COMPUT, V24, P235, DOI 10.1006-jsco.1996.0125; Buhler J.P., 1978, LECT NOTES MATH, V654; Buzzard K, 2005, COMPOS MATH, V141, P605, DOI 10.1112-S0010437X05001314; Cornelissen G, 1999, MATH ANN, V314, P175, DOI 10.1007-s002080050291; Garthwaite S, 2010, P AM MATH SOC, V138, P467; Getz J, 2004, P AM MATH SOC, V132, P2221, DOI 10.1090-S0002-9939-04-07478-7; Hahn H, 2007, P AM MATH SOC, V135, P2391, DOI 10.1090-S0002-9939-07-08763-1; Kilford L. J. P., 2010, ARXIV11106801; Knopp M, 2003, J NUMBER THEORY, V99, P1, DOI 10.1016-S0022-314X(02)00065-3; Kohel D. R., 2002, ATKIN LEHNER DECOMPO; Kohnen W., 2010, ARXIV10032407V1; Kohnen W, 2008, NAGOYA MATH J, V192, P119; Lehner J, 1966, SHORT COURSE AUTOMOR; Ligozat G., 1975, B SOC MATH FRANCE ME, V43; McMurdy K., 2001, THESIS U C BERKELEY; Miezaki T, 2007, J MATH SOC JPN, V59, P693, DOI 10.2969-jmsj-05930693; OGG AP, 1974, B SOC MATH FR, V102, P449; PETERSSO.H, 1971, INVENT MATH, V12, P1, DOI 10.1007-BF01389824; Raji W, 2007, ACTA ARITH, V129, P41, DOI 10.4064-aa129-1-3; Rankin F. K. C., 1970, B LOND MATH SOC, V2, P169, DOI 10.1112-blms-2.2.169; Serre J.-P., 1973, GRADUATE TEXTS MATH, V7; Shigezumi J, 2007, KYUSHU J MATH, V61, P527, DOI 10.2206-kyushujm.61.527; SHIMURA G., 1994, PUBLICATIONS MATH SO, V11; Stein W.A., 2009, SAGE MATH SOFTWARE V0
On the Up operator acting on p-adic overconvergent modular forms when X0(p) has genus 1
No full textAbstractIn this note we will show how to compute Up acting on spaces of overconvergent p-adic modular forms when X0(p) has genus 1. We first give a construction of Banach bases for spaces of overconvergent p-adic modular forms, and then give an algorithm to approximate both the characteristic power series of the Up operator and eigenvectors of finite slope for Up, and present some explicit examples. We will also relate this to the conjectures of Clay on the slopes of overconvergent modular forms
Some Non-Gorenstein Hecke Algebras Attached to Spaces of Modular Forms
No full textAbstractLet p be a prime, and let S2(Γ0(p)) be the space of cusp forms of level Γ0(p) and weight 2. We prove that, for p∈{431, 503, 2089}, there exists a non-Eisenstein maximal ideal m of the Hecke algebra of S2(Γ0(p)) above 2, such that (Tq)m is not Gorenstein
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
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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