On sup-norms of cusp forms of powerful level

Let f be an L^2-normalized Hecke--Maass cuspidal newform of level N and Laplace eigenvalue \lambda. It is shown that |f|_\infty <<_{\lambda, \epsilon} N^{-1/12 + \epsilon} for any \epsilon>0. The exponent is further improved in the case when N is not divisible by "small squares". Our work extends and generalizes previously known results in the special case of N squarefree.Comment: Final version, to appear in JEMS. Please also note that the results of this paper have been significantly improved in my recent paper arXiv:1509.07489 which uses a fairly different methodolog

Improvised Salient Object Detection and Manipulation

In case of salient subject recognition, computer algorithms have been heavily relied on scanning of images from top-left to bottom-right systematically and apply brute-force when attempting to locate objects of interest. Thus, the process turns out to be quite time consuming. Here a novel approach and a simple solution to the above problem is discussed. In this paper, we implement an approach to object manipulation and detection through segmentation map, which would help to desaturate or, in other words, wash out the background of the image. Evaluation for the performance is carried out using the Jaccard index against the well-known Ground-truth target box technique.Comment: 7 page

World markets for conventional and advanced biofuels over the next five years

Production of transport biofuels grew by just 2% in 2017. To achieve the 2030 SDS target, use of biofuels needs to triple, driven by cost reductions of advanced biofuels, widespread sustainability governance and more adoption in aviation and marine transport. This presentation provides an overview of the market prospects for conventional biofuels over the next five years. It would analyse the current status of deployment and costs for novel advanced biofuels. It would also draw comparisons with electric cars, the extent of their renewable electricity utilisation and decarbonisation potential. It would include the contribution of renewables to road transport demand over the next 5 years and focus on the main biofuels available to decarbonise road freight, now and in the long term. Finally, it will present a case study from India, focusing on ethanol-based chemicals