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Special values of L-functions for Saito–Kurokawa lifts

Published online by Cambridge University Press:  02 May 2013

JIM BROWN  and
AMEYA PITALE
JIM BROWN
Affiliation:
Department of Mathematical Sciences, Clemson University, Clemson, SC 29634, U.S.A. e-mail: jimlb@clemson.edu
AMEYA PITALE
Affiliation:
Department of Mathematics, University of Oklahoma, Norman, OK 73019, U.S.A. e-mail: apitale@math.ou.edu
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Abstract

In this paper we obtain special value results for L-functions associated to classical and paramodular Saito–Kurokawa lifts. In particular, we consider standard L-functions associated to Saito–Kurokawa lifts as well as degree eight L-functions obtained by twisting with an automorphic form defined on GL(2). The results are obtained by combining classical and representation theoretic arguments.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 155 , Issue 2 , September 2013 , pp. 237 - 255
Copyright
Copyright © Cambridge Philosophical Society 2013 

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