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arXiv · 1903.07613

Iwahori-Hecke algebra and unramified local L-functions

Masao Oi·Ryotaro Sakamoto·Hiroyoshi Tamori
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Abstract

In this paper, we compute the Hecke action of a certain test function on the space of an unramified principal series of a connected reductive group over a non-archimedean local field by using the theory of Iwahori--Hecke algebra. As an application, we obtain a new expression of the local L-functions of unramified representations.

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Masao Oi, Ryotaro Sakamoto, Hiroyoshi Tamori. 2019-03-12. Iwahori-Hecke algebra and unramified local L-functions. https://arxiv.org/abs/1903.07613

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