"Maass forms"의 두 판 사이의 차이

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* [[harmonic Maass forms]]
 
* [[harmonic Maass forms]]
 
+
* [[spectral theory of automorphic forms]]
 
 
 
 
  

2013년 4월 9일 (화) 10:40 판

introduction

  • Hyperbolic distribution problems and half-integral weight Maass forms
  • Automorphic forms correspond to representations that occur in $L_2(G/\Gamma)$. In the case when $G$ is $SL_2$, holomorphic modular forms correspond to (highest weight vectors of) discrete series representations of $G$, while Maass wave forms correspond to (spherical vectors of) continuous series representations of G.

 

Eisenstein series

 

Kloosterman sum

 

related items

 

 

books

  • Henryk Iwaniek, Emmanuel Kowalski (2004). Analytic number theory
  • Lectures on modular functions of one complex variable (Tata Institute of Fundamental Research. Lectures on mathematics and physics. Mathematics, 29) 
    • Hans Maass, (pdf)


 

encyclopedia


question and answers(Math Overflow)