A note on certain representations in characteristic p and associated functions

JOURNAL OF NUMBER THEORY

卷:176

Article

Pellarin, F.¹ 

[1] Fac Sci & Tech, Inst Camille Jordan, 23 Rue Dr Paul Michelon, F-42023 St Etienne 2, France

关键词: Function field arithmetic;    Vectorial modular forms;    Representations of arithmetic groups;   

DOI  :  10.1016/j.jnt.2016.12.001

来源: Elsevier

【 摘 要 】

The aim of this note is to describe basic properties of the representations of GL(2)(F-q[theta]) associated to certain vectorial modular forms with values in Tate algebras and Banach algebras introduced by the author. We discuss how certain L-values occur as limit values of these functions. We also present families of examples which can be the object of further studies. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free