Accessible Requires Authentication Published by De Gruyter August 1, 2012

Analytic properties of the Hasse–Weil L-function

Pei-Chu Hu and Zhuan Ye

Abstract.

We prove that the Hasse–Weil L-function associated to an elliptic curve E over is of growth order one and belongs to the Selberg class with degree two. Moreover, we show that has an infinite product representation associated with the conductor .

Received: 2011-06-06
Revised: 2012-04-30
Accepted: 2012-04-30
Published Online: 2012-08-01
Published in Print: 2012-08-01

© 2012 by Walter de Gruyter Berlin Boston