The aim of this note is to describe basic properties of the representations of GL2(Fq[θ]) 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.
A note on certain representations in characteristic p and associated functions / Pellarin, F.. - In: JOURNAL OF NUMBER THEORY. - ISSN 0022-314X. - 176:(2017), pp. 420-438. [10.1016/j.jnt.2016.12.001]
A note on certain representations in characteristic p and associated functions
Pellarin F.
2017
Abstract
The aim of this note is to describe basic properties of the representations of GL2(Fq[θ]) 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.File allegati a questo prodotto
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