Automorphic L-Functions
Automorphic L-Functions
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DOI：
10.1007/978-1-4471-4435-9_8
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发表时间：
2013
影响因子：
3.1
通讯作者：
A. Deitmar
中科院分区：
文献类型：
--
作者：
A. Deitmar
In this chapter the adelic interpretation of modular forms is used to give an adelic description of their L-functions, which, as a byproduct, are vastly generalized. These general automorphic L-functions are defined as Euler products, the factor at a primepis obtained from ap-adic representation, using the so called Satake Transformation. The analytic continuation of the L-function is obtained as an application of the Poisson Summation Formula. At the end of the chapter it finally is shown that this new, much more general construction of L-functions is compatible with the definitions of Chap. 3 .
