Twisting of Siegel paramodular forms

Let $S_k(\Gamma^{\mathrm{para}}(N))$ be the space of Siegel paramodular forms of level $N$ and weight $k$. Let $p\nmid N$ and let $\chi$ be a nontrivial quadratic Dirichlet character mod $p$. Based on our previous work, we define a linear twisting map $\mathcal{T}_\chi:S_k(\Gamma^{\mathrm{para}}(N))\rightarrow S_k(\Gamma^{\mathrm{para}}(Np^4))$. We calculate an explicit expression for this twist and give the commutation relations of this map with the Hecke operators and Atkin-Lehner involution for primes $\ell\neq p$.Comment: 64 pages. In version 2, the paper has been shortened significantly and lengthy, technical proofs given in a separate appendix. In version 3, two typos are corrected. In version 4, we have included the full details of the proof of the local twisting theorem in the paper and improved the results with the L-function theore

Appendix to "Twisting of Siegel paramodular forms"

In this appendix we present an expanded version of Section 4 of our paper arXiv:1404.4596, including the proofs of all of the technical lemmas.Comment: 60 pages. In version 2, two typos have been corrected. The appendix has been incorporated into the main body of the paper and is therefore withdraw

Subjective and Non-subjective Information in Children’s Allegations of Abuse

In this study, we were interested in how interviewers elicit subjective information in investigations of child abuse (e.g., descriptions of thoughts, emotions, opinions). Sixty-one interviews of children aged 4-12 years old were analyzed to determine the amount of subjective information versus non-subjective event details reported, and the type of question that elicited the information. Interviewers elicited more non-subjective than subjective information, although there was more focus on subjective information in the rapport-building phase than in the substantive phase when the allegations were elicited. Interviewer prompts and child responsiveness was congruent such that non-subjective questions elicited more non-subjective information, and subjective interviewer questions elicited more subjective information. The presence of subjective information in children’s testimony can influence children’s credibility, and the results of this study demonstrate that forensic interviewers play a significant part in the level of subjective information children provide

The Gender Reservation Wage Gap: Evidence form British Panel Data

Our findings suggest the existence of a gender reservation wage gap. The presence of children, particularly pre-school age children, plays an important role in determining the proportion of this gap that can be explained by individual characteristics. For individuals without children, the unexplained component of the differential is 99% compared to only 22% for those with pre-school age children, which might indicate that perceived discrimination in the labour market influences the reservation wage setting of females.reservation wages, wage decomposition

The gender reservation wage gap: evidence from British panel data

Our findings suggest the existence of a gender reservation wage gap, with a differential of around 10%. The presence of children, particularly pre-school age children, plays an important role in explaining this differential. For individuals without children, the explained component of the differential is only 5%, which might indicate that perceived discrimination in the labour market influences the reservation wage setting of females.Reservation Wages, Wage Decomposition

What factors explain differences in learning climates?

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