Local Behavior of Arithmetical Functions with Applications to Automorphic $L$-Functions
نویسندگان
چکیده
منابع مشابه
Lectures on automorphic L-functions
PREFACE This article follows the format of five lectures that we gave on automorphic Lfunctions. The lectures were intended to be a brief introduction for number theorists to some of the main ideas in the subject. Three of the lectures concerned the general properties of automorphic L-functions, with particular reference to questions of spectral decomposition. We have grouped these together as ...
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For many L-functions of arithmetic interest, the values on or close to the edge of the region of absolute convergence are of great importance, as shown for instance by the proof of the Prime Number Theorem (equivalent to non-vanishing of ζ(s) for Re(s) = 1). Other examples are the Dirichlet L-functions (e.g., because of the Dirichlet class-number formula) and the symmetric square L-functions of...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2016
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnw148