On sums involving Fourier coefficients of Maass forms for SL(3,Z)

We derive a truncated Voronoi identity for rationally additively twisted sums of Fourier coefficients of Maass forms for SL(3,Z), and as an application obtain a pointwise estimate and a second moment estimate for the sums in question

On Short Sums Involving Fourier Coefficients of Maass Forms

We study sums of Hecke eigenvalues of Hecke-Maass cusp forms for the group SL(n, Z), with general n >= 3, over short intervals of certain length under the assumption of the generalised Lindelof hypothesis and a slightly stronger upper bound concerning the exponent towards the Ramanujan-Petersson conjecture than is currently known. In particular, in this case we evaluate the second moment of the sums in question asymptotically

On fundamental Fourier coefficients of Siegel cusp forms of degree 2

Let $F$ be a Siegel cusp form of degree 2, even weight $k \geq 2$ and odd squarefree level $N$. We undertake a detailed study of the analytic properties of Fourier coefficients $a(F,S)$ of $F$ at fundamental matrices $S$ (i.e., with $-4 det(S)$ equal to a fundamental discriminant). We prove that as $S$ varies along the equivalence classes of fundamental matrices with $det(S) \asymp X$, the sequence $a(F,S)$ has at least $X^{1-\epsilon}$ sign changes, and takes at least $X^{1-\epsilon}$ "large values". Furthermore, assuming the Generalized Riemann Hypothesis as well as the refined Gan--Gross--Prasad conjecture, we prove the bound $|a(F,S)| \ll_{F, \epsilon} \frac{\det(S)^{\frac{k}2 - \frac{1}{2}}}{ (\log |\det(S)|)^{\frac18 - \epsilon}}$ for fundamental matrices $S$

Dental age in patients with neurofibromatosis 1

Neurofibromatosis type 1 (NF1) is a common, hereditary, neurocutaneous skeletal condition with a variety of osseous manifestations. Although NF1 also affects craniofacial structures, the literature has only limited information related to the effect of NF1 on dental development. In this study the dental age of 34 Finnish NF1 patients, 817 yr of age, was estimated using the Demirjian & Goldstein method. The dental age of children with NF1 was similar to that of a Finnish control population. The findings suggest that NF1 does not affect the timing of tooth development.</p

Mobilizing young voters? A cross-national analysis of contextual factors in pirate voting

The emergence of the information society has resulted in an unprecedented debate on issues such as internet censorship and surveillance, privacy, and copyright. Such issues have been mobilized through the channels of party politics by pirate parties, which represent an almost ideal-typical manifestation of the niche party phenomenon. This paper provides the first comparative analysis of the impact of contextual factors on the cross-national variations in the levels of pirate voting by focussing on the 11 countries in which pirate parties contested EP elections between 2009 and 2014. The analysis is performed using QCA, and suggests that the interplay between five contextual factors play an important role in influencing the different levels of pirate voting across Europe: the saliency of macro-economic issues; the levels of trust in political parties; the levels of trust in the internet; the turnout of voters aged 18–24 and the de-alignment of the young voters aged 18–24. On the one hand, the analysis reveals that the failed electoral mobilization of young voters, as reflected in the low levels of turnout of young adults, plays a prominent role in explaining why the majority of pirate parties are electorally unsuccessful. On the other hand, however, the analysis of the most favourable breeding grounds for significant levels of pirate voting to take place suggests that such an outcome is usually not dependent on the levels of turnout of young voters, but is rather influenced by a more complex interaction between the other contextual factors under investigation