Part V Rankin-Selberg method and periods of modular forms

机译：Part v Rankin-Selberg方法和模块化形式的时段

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This method was first introduced by Rankin [27] and Selberg [29] independently. Since then, it has fully developed for several types of modular forms, and has become one of the most useful tools for studying modular forms and their L-functions. In particular, it plays a very important role in proving analytic properties (meromorphy, functional equation etc.) of several automorphic L-functions. As for this, the reader is referred to excellent surveys by Bump [2] and [3].

机译：该方法首先由Rankin [27]和Selberg [29]独立地引入。从那时起，它已经完全开发了几种类型的模块化形式，并且已成为研究模块化形式及其L函数的最有用工具之一。特别是，它在证明几个自同内L函数的分析性质（ermomorphy，功能方程等）中起着非常重要的作用。至于这，读者通过凸块[2]和[3]称为优异的调查。

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《French-Japanese Winter School on Zeta and L-functions》|2010年||共29页
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Hidenori Katsurada;
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中图分类 O156.4-532;
关键词
Rankin-Selberg; method; modular forms;

机译：Rankin-Selberg;方法;模块化形式;

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2. An explicit formula for the zeros of the Rankin-Selberg L-function via the projection of C∞-modular forms [J] . Takumi Noda Kodai Mathematical Journal . 2008,第1期

机译：通过C∞模形式的投影来确定Rankin-Selberg L函数的零点的显式公式
3. Determining Hilbert modular forms by central values of Rankin-Selberg convolutions: the weight aspect [J] . Hamieh Alia, Tanabe Naomi The Ramanujan journal . 2018,第3期

机译：通过Rankin-Selberg卷积的中心值确定Hilbert模块形式：重量方面
4. Part V Rankin-Selberg method and periods of modular forms [C] . Hidenori Katsurada French-Japanese Winter School on Zeta and L-functions . 2010

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5. Quantum modular forms, mock modular forms, and partial theta functions. [D] . Kimport, Susanna. 2015

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7. An explicit formula for the zeros of the Rankin-Selberg L-function via the projection of C∞-modular forms [O] . Takumi Noda 2008

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Part V Rankin-Selberg method and periods of modular forms

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