Negative index Jacobi forms and quantum modular forms

In this paper, we consider the Fourier coefficients of a special class of meromorphic Jaocbi forms of negative index. Much recent work has been done on such coefficients in the case of Jacobi forms of positive index, but almost nothing is known for Jacobi forms of negative index. In this paper we show, from two different perspectives, that their Fourier coefficients have a simple decomposition in terms of partial theta functions. The first perspective uses the language of Lie super algebras, and the second applies the theory of elliptic functions. In particular, we find a new infinite family of rank-crank type PDEs generalizing the famous example of Atkin and Garvan. We then describe the modularity properties of these coefficients, showing that they are "mixed partial theta functions", along the way determining a new class of quantum modular partial theta functions which is of independent interest.Comment: 29 pages, minor correction

The Advent of Survey Experiments in Politics and International Relations

Acknowledgements The author would like to thank the editors for the invitation to contribute this article and their fruitful editorial comments that helped shaped this review. Special thanks to Adrian Millican and Theofanis Exadaktylos for their feedback on previous drafts.Peer reviewedPublisher PD

Biomechanical factors may explain why grasping violates Weber's law

Copyright © 2015. Published by Elsevier Ltd. Acknowledgments The experiment was part of N. Aschenneller’s MD thesis. The study was funded by the Staedtler Stiftung (Nuremberg, Germany).Peer reviewedPostprin

The interplay between immunity and aging in Drosophila

Here, we provide a brief review of the mechanistic connections between immunity and aging—a fundamental biological relationship that remains poorly understood—by considering two intertwined questions: how does aging affect immunity, and how does immunity affect aging? On the one hand, aging contributes to the deterioration of immune function and predisposes the organism to infections (“immuno-senescence”). On the other hand, excessive activation of the immune system can accelerate degenerative processes, cause inflammation and immunopathology, and thus promote aging (“inflammaging”). Interestingly, several recent lines of evidence support the hypothesis that restrained or curbed immune activity at old age (that is, optimized age-dependent immune homeostasis) might actually improve realized immune function and thereby promote longevity. We focus mainly on insights from Drosophila, a powerful genetic model system in which both immunity and aging have been extensively studied, and conclude by outlining several unresolved questions in the field

Good occupation - bad occupation? : the quality of apprenticeship training

Small average wage effects of employer and/or occupation changes mask large differences between occupation groups and apprentices with different schooling back-grounds. Apprentices in commerce and trading occupations strongly profit from an employer change. Employer and occupation changers in industrial occupations face large wage disadvantages however. We are the first to analyse these differences. Quality differences of apprenticeship quality between training firms that have been mainly discussed so far are small, however. This paper also explains differences between previous findings by comparing their estimation strategies. It demonstrates that selectivity into occupations and changers, unobserved heterogeneity between occupations, and the sample selection matter and proposes several improvements in the estimation technique to measure apprenticeship quality

A Meta-analysis of Studies on the Performance of the Crosswise Model

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A Long Way to Liberalization, or Is It? Public Perceptions of Women Empowerment in the Middle East and North Africa

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