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Analytic properties of the Hasse–Weil L -function

Analytic properties of the Hasse–Weil L -function 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 . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Pure and Applied Mathematics de Gruyter

Analytic properties of the Hasse–Weil L -function

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Publisher
de Gruyter
Copyright
Copyright © 2012 by the
ISSN
1867-1152
eISSN
1869-6090
DOI
10.1515/apam-2012-0004
Publisher site
See Article on Publisher Site

Abstract

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 .

Journal

Advances in Pure and Applied Mathematicsde Gruyter

Published: Aug 1, 2012

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