We derive a Motohashi-type formula for the cubic moment of central values of L-functions of level q cusp forms twisted by quadratic characters of conductor q, previously studied by Conrey and Iwaniec and Young. Corollaries of this formula include Weylsubconvex bounds for L-functions of weight two cusp forms twisted by quadratic characters, and estimates towards the Ramanujan-Petersson conjectur...

Fusion and talon cusps are rare developmental dental anomalies affecting both primary and permanent dentitions. Talon cusps normally occur on the palatal surface of permanent maxillary incisors, while fused teeth are more common in the primary anterior dentition. An understanding of these dental anomalies and their associated problems are important to provide prophylactic measures, thereby prev...

Purpose: Morphological dental anomalies of the maxillary lateral incisors are relatively common. However, their simultaneous occurrence is a relatively rare event. We report a case of dens invaginatus and talon cusp concurrently affecting maxillary lateral incisors. The etiology, pathophysiology, association with other dental anomalies, as well as various treatment modalities of these anomalies...

BACKGROUND Although health outcomes may have fundamentally nonlinear relationships with relevant behavioral, psychological, cognitively, or biological predictors, most analytical models assume a linear relationship. Furthermore, some health outcomes may have multimodal distributions, but most statistical models in common use assume a unimodal, normal distribution. Suitable nonlinear models shou...

We present flux-ratio curves of the fold and cusp (i.e. close multiple) images of six JVAS/CLASS gravitational lens systems. The data were obtained over a period of 8.5 months in 2001 with the Multi-Element Radio-Linked Interferometer Network (MERLIN) at 5–GHz with 50 mas resolution, as part of a MERLIN Key-Project. Even though the time delays between the fold and cusp images are small (1 d) co...

In this paper we consider the family of sets verifying the uniform cusp property introduced in [2] and extended in [4] to cusp functions only continuous a t the origin. In the latter case we show that to any extended cusp function, we can associate a continuous, non-negative, and monotone strictly increasing cusp function of the type introduced in [2]. We construct an example of a bounded set i...

T alon cusp refers to a cusp-like structure project ing from the cingulum area of a maxillary or mandibular anterior tooth. Shafer et al. and Mellor and Ripa reported that talon cusp is uncommon and occurs in maxillary and mandibular permanent incisors. Most cases of the anomaly have been reported in the permanent dentition. Ninety percent of the talon cusps occur in anterior permanent teeth, a...

Gemination with talon cusps is an uncommon morphologic dental anomaly, characterized by the formation of clinically wide tooth that can cause significant aesthetic and clinical problems including esthetic impairment, pain, caries susceptibility, and tooth crowding. These morphological dental anomalies have specific treatment needs due to the abnormal morphology and need virtuous radiologic diag...