Rapid Computation of L-functions for Modular Forms

被引：3

作者：

Vishe, Pankaj ^{[1
]}

机构：

[1] KTH, Math Dept Math, SE-10044 Stockholm, Sweden

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2013年 / 2013卷 / 11期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1093/imrn/rns112

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f be a fixed (holomorphic or Maass) modular cusp form, with an L-function L(f,s). We describe an algorithm that computes the value L(f, 1/2 + iT) to any specified precision in time O(1+vertical bar T vertical bar(7/8)).

引用

页码：2624 / 2656

页数：33

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