87,664 research outputs found
Nachricht von der gegenwärtigen Einrichtung der mit der Halberstädtischen Domschule verbundenen Pensionsanstalt / von D. F. K. H. Maaß; Rector der Domschule
Autopsie nach Exemplar der ULB Sachsen-AnhaltVorlageform des Erscheinungsvermerks: Halberstadt, gedruckt bei Delius Wittwe und Heineich Matthias. - Erscheinungsjahr nach Lebensdaten von F. K. H. Maass geschätz
Non-Trivial Zeros of Lf-Function associated with Maass cusp form f
application/pdfWe study here non-trivial zeros of the Lf(s)-function associated with a Maass cusp form f論文(Article)departmental bulletin pape
The Social Costs of Sounding Gay: Voice-Based Impressions of Adoption Applicants
In three studies (total N = 239) we examined the unexplored question of whether voice conveying sexual orientation elicits stigma and discrimination in the context of adoption. Studies 1 and 2 were conducted in Italy where same-sex adoption is illegal and controversial. Study 3 was conducted in the United Kingdom where same-sex adoption is legal and generally more accepted. The three studies show that listeners draw strong inferences from voice when judging hypothetical adoption seekers. Both Italian and British listeners judged gay-sounding speakers as warmer and as having better parenting skills, yet Italian participants consistently preferred straight over gay-sounding applicants, whereas British participants showed an opposite tendency, presumably reflecting the different normative context in the two countries. We conclude that vocal cues may have culturally distinct effects on judgment and decision making and that people with gay-sounding voices may face discrimination in adoption procedures in countries with antigay norms
Regularized Theta Lifts of Harmonic Maass Forms
In this thesis we study regularized theta lifts between various spaces of harmonic Maass forms and their applications. The work consists of three main parts.
In the first part we investigate the so-called Millson theta lift, which maps harmonic Maass forms of weight -2k (with k a non-negative integer) for congruence subgroups of the modular group to vector valued harmonic Maass forms of weight 1/2-k. We show that the Fourier coefficients of the lift of a harmonic Maass form F are given by traces of CM values and cycle integrals of non-holomorphic modular forms arising from F by application of certain differential operators, and that the Millson lift is related to the classical Shintani theta lift via the xi-operator. This part is based on joint work with Claudia Alfes-Neumann.
The second part discusses some new applications of the Millson and the Kudla-Millson theta lifts. First we construct completions of two of Ramanujan's mock theta functions using the Millson lift of a suitable weakly holomorphic modular function F and use this to derive formulas for the coefficients of the mock theta functions in terms of traces of CM values of F. Further, we use the Millson and the Kudla-Millson theta lifts to obtain xi-preimages of unary theta functions of weight 3/2 and 1/2 whose holomorphic parts have rational Fourier coefficients. We also use these preimages to compute the Petersson inner products of harmonic Maass forms of weight 1/2 and 3/2 with unary theta series, and thereby obtain formulas and rationality results for the Weyl vectors of Borcherds products at the cusps. This part is based on joint work with Jan Hendrik Bruinier.
In the third part we extend Borcherds' regularized theta lift in signature (1,2) to the full space of harmonic Maass forms of weight 1/2, i.e., those forms whose non-holomorphic part is allowed to grow linearly exponentially at infinity. We obtain real analytic modular functions with logarithmic singularities at CM points and new types of singularities along geodesics in the upper half-plane. Further, we use the theta lift to construct modular integrals of weight 2 with rational period functions, whose coefficients are given by linear combinations of Fourier coefficients of harmonic Maass forms of weight 1/2
Local and global Maass relations
We characterize the irreducible, admissible, spherical representations of GSp4(F) (where F is a p-adic field) that occur in certain CAP representations in terms of relations satisfied by their spherical vector in a special Bessel model. These local relations are analogous to the Maass relations satisfied by the Fourier coefficients of Siegel modular forms of degree 2 in the image of the Saito-Kurokawa lifting. We show how the classical Maass relations can be deduced from the local relations in a representation theoretic way, without recourse to the construction of Saito-Kurokawa lifts in terms of Fourier coefficients of half-integral weight modular forms or Jacobi forms. As an additional application of our methods, we give a new characterization of Saito-Kurokawa lifts involving a certain average of Fourier coefficients
Shear-Band Dynamics in Metallic Glasses
The future of metallic glasses as an advanced structural and functional material will to a great extent depend on the understanding and control of their mesoscopic flow defects called shear bands. These defects are sweet-and-sour; sweet because they mediate macroscopic plasticity at room temperature, and sour because they quickly promote failure. In the past decade, fundamental research generated great progress in characterizing the role that shear bands play during plastic deformation of disordered systems, including metallic glasses. Similar to those in many other materials, shear bands in metallic glasses are only active for a very short time, which directed research focus towards topological, structural, chemical, and thermal properties of formed, but inactive shear bands. In this paper, recent progress in directly characterizing the shear-band dynamics in situ during straining experiments is presented. Various shear-banding stages are outlined, including formation, propagation, and arrest, as well as shear-band creep and aging. The results are discussed in a more general context of disordered materials, concluding with a summarizing overview of time-scales involved in shear banding, and describing future research directions that may lead to controlled shear-band plasticity in metallic glasses
Nachricht von der gegenwärtigen Einrichtung der mit der Halberstädtischen Domschule verbundenen Pensionsanstalt
von D. F. K. H. Maaß; Rector der DomschuleAutopsie nach Exemplar der ULB Sachsen-AnhaltVorlageform des Erscheinungsvermerks: Halberstadt, gedruckt bei Delius Wittwe und Heineich Matthias. - Erscheinungsjahr nach Lebensdaten von F. K. H. Maass geschätz
On the sup-norm of Maass cusp forms of large level: II
Let f be a Hecke-Maass cuspidal newform of square-free level N and Laplacian eigenvalue λ. It is shown that for any ε>0, with an implied constant depending continuously on λ. The proof is short and self-contained. © 2011 The Author(s). Published by Oxford University Press. All rights reserved
Does gender-fair language pay off? The social perception of professions from a cross-linguistic perspective
In many languages, masculine forms (e.g., German Lehrer, “teachers, masc.”) have traditionally been used to refer to both women and men, although feminine forms are available, too. Feminine-masculine word pairs (e.g., German Lehrerinnen und Lehrer, “teachers, fem. and teachers, masc.”) are recommended as gender-fair alternatives. A large body of empirical research documents that the use of gender-fair forms instead of masculine forms has a substantial impact on mental representations. Masculine forms activate more male representations even when used in a generic sense, whereas word pairs (e.g., German Lehrerinnen und Lehrer, “teachers, fem. and teachers, masc.”) lead to a higher cognitive inclusion of women (i.e., visibility of women). Some recent studies, however, have also shown that in a professional context word pairs may be associated with lesser status. The present research is the first to investigate both effects within a single paradigm. A cross-linguistic (Italian and German) study with 391 participants shows that word pairs help to avoid a male bias in the gender-typing of professions and increase women's visibility; at the same time, they decrease the estimated salaries of typically feminine professions (but do not affect perceived social status or competence). This potential payoff has implications for language policies aiming at gender-fairness
Implicit Versus Explicit Strategies of Out-Group Discrimination: The Role of Intentional Control in Biased Language Use and Reward Allocation
This article addresses the role of intentional control in intergroup favoritism and out-group discrimination. We hypothesize that explicit strategies of discrimination (reward allocation, trait attributions) are under people's intentional control, whereas the linguistic intergroup bias (LIB) represents a strategy that allows relatively little conscious control. An experiment is reported in which basketball fans (N = 88) of two different teams were compared, one known for its uninhibited expression of intergroup hostility, the other known for considering aggressive behaviors unacceptable. Aggressive fans showed greater out-group discrimination than unaggressive fans on reward allocation and trait attribution, but comparable degrees of LIB. This suggests that on explicit tasks such as reward allocation, out-group discrimination can be inhibited relatively easily, whereas intentional control appears considerably more difficult for subtle differences in language abstraction. The LIB may therefore constitute a useful tool for assessing prejudice while minimizing the impact of social desirability considerations
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