Given a weight 2 and level p modular form f , we construct two weight /2 modular forms (possibly zero) of level 4p and non trivial character mapping to f via the Shimura correspondence. Then we relate the coefficients of the constructed forms to the central value of the L-series of certain imaginary quadratic twists of f . Furthermore, we give a general framework for our construction that appli...

central venous catheter (cvc) insertion is a practical way to assess patients hemodynamic specially in cardiovascular surgery but this relatively simple junior level procedure is not risk free and its common reported complications include; pneumothorax, hydrothorax, hemothorax, local hematoma, cardiac tamponade, vascular injury, thrombosis, embolism, and catheter disruption. here in this articl...

extended abstract 1. introduction climate change refers to the increase or decrease in the average climatic factors over a long period of time (i.e. more than 30 years). today, climate change has become a human concern and the scientific community are already aware of this fact. global temperature has followed an unprecedented increase over the last hundred years. based on synoptic climatology,...

In this paper we describe an algorithm for finding the nilpotency class, and the upper central series of the maximal normal p-subgroup ∆(G) of the automorphism group, Aut(G) of a bounded (or finite) abelian p-group G. This is the first part of two papers devoted to compute the nilpotency class of ∆(G) using formulas, and algorithms that work in almost all groups. Here, we prove that for p ≥ 3 t...