Maass forms

수학노트
http://bomber0.myid.net/ (토론)님의 2010년 3월 5일 (금) 18:17 판
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introduction
  • Hyperbolic distribution problems and half-integral weight Maass forms

 

 

Eisenstein series

\(E(z,s) ={1\over 2}\sum_{(m,n)=1}{y^s\over|mz+n|^{2s}}\)

\(\DeltaE(z,s)=-y^2\left(\frac{\partial^2}{\partial x^2}+\frac{\partial^2}{\partial y^2}\right)E(z,s) = s(1-s)E(z,s)\)

 

 

Kloosterman su,m

 

 

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