For any elliptic curve E over a number field, there is, for each n ≥ 1, a symmetric n-power L-function, defined by an Euler product, and conjecturally having a meromorphic continuation and satisfying a precise functional equation. The sign in the functional equation is conjecturally a product of local signs. Given an elliptic curve over a finite extension of some Qp, we calculate the associated...

In this paper it is attempted to investigate the behavior of an inviscid flow in the meridional plane of an axial flow compressor. For this purpose the 3-D unsteady Euler equations in cylindrical coordinate are averaged in tangential direction. Therefore, the equations are reduced to a 2-D system. By averaging the tangential component of momentum equation, a blade force will result. Axial and r...

Abstract. In this paper we study the controllability of an Euler Implicit time discrete heat equation in a bounded domain with a local internal controller. We prove that, based on Lebeau-Robbiano’s time iteration method, the projection in appropriate filtered space is null controllable with uniformly bounded control. In this way, the well-known null-controllability property of the heat equation...