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On the computation of Siegel modular forms of degree 2 with Sage (Computer Algebra and Related Topics)
Get PDFCONGRUENCE PROPERTIES OF SIEGEL MODULAR FORMS OF DEGREE 2 AND WEIGHT 47, 71, 89 (Automorphic Forms and Related Zeta Functions)
Get PDFStructure theorems for vector valued Siegel modular forms of degree 2 and weight det(k) circle times Sym(10)
Get PDFWe prove the explicit structure theorems of modules circle plus(k) M-detk circle times Sym(10)(Sp(2)(Z(2))) of vector valued Siegel modular forms of degree 2, where k runs over the set of even integers or odd integers. We also check the conjecture given by Ibukiyama [Vector valued Siegel modular forms of symmetric tensor weight of small degrees, Comment. Math. Univ. St. Pauli 61 (2012) 51-75.] for modules of vector valued Siegel modular forms of degree 2 of weights det* circle times Sym(8) and det* circle times Sym(10)
Siegel Eisenstein series of degree n and Lambda-adic Eisenstein series
Get PDFLet F be a totally real field and x a primitive narrow ray class character of F. We prove a formula for the Fourier coefficients of the Siegel Eisenstein series of degree n, weight k and character x under certain conditions on x. We also prove the existence of Λ-adic Siegel Eisenstein series of degree n
CONSTRUCTION OF THETA FUNCTIONS OF ANY VECTOR VALUED WEIGHT AND APPLICATIONS TO LIFTS AND CONGRUENCES (Automorphic Forms and Related Topics)
Get PDFこの原稿は, プレプリント[7]の概説である. 多重調和多項式付きのテータ関数はSiegel保型形式の具体的な構成を与えることは, よく知られている. しかし, 既存の文献には, 一般のmathrm{G}mathrm{L}_{n}(mathbb{C})の既約多項式表現について, ウェイトのテータ級数を構成するために, どのように多重調和多項式を構成すれば良いかが書かれていないように思える. この原稿では, 一般のmathrm{G}mathrm{L}_{n}(mathbb{C})の既約多項式表現について, 多重調和多項式を構成する具体的なやり方を説明する. その応用として, 次数3のとき, 最高ウェイトが(14, 13, 5), (16, 13, 7), (18, 13, 5), (18, 17, 5)などの場合に具体的にカスプ形式を構成する. このウェイトを選んだ理由は, Bergström, Faberとvan der Geer[3]が予想したリフトの例が含まれているからである. また, このリフトになっているHecke固有形式と思われるもののと, そうでないものの間のHecke固有値についての合同式の例も与える
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
On the computation of the determinant of vector-valued Siegel modular forms
Get PDFLet def xmlpi #1{}def mathsfbi #1{boldsymbol {mathsf {#1}}}let le =leqslant let leq =leqslant let ge =geqslant let geq =geqslant def Pr {mathit {Pr}}def Fr {mathit {Fr}}def Rey {mathit {Re}}A^{0}(Gamma _{2}) denote the ring of scalar-valued Siegel modular forms of degree two, level and even weights. In this paper, we prove the determinant of a basis of the module of vector-valued Siegel modular forms over is equal to a power of the cusp form of degree two and weight up to a constant. Here and . The main result in this paper was conjectured by Ibukiyam
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