Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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A REMARK OF EISENSTEIN SERIES AND THETA SERIES

  • Kim, Dae-Yeoul (Department of Mathematics, Chonbuk National University) ;
  • Koo, Ja-Kyung (Korea Advanced Institute of Science And Technology, Department of Mathematics)
  • Published : 2002.05.01
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Abstract

As a by-product of [5], we produce algebraic integers of certain values of quotients of Eisenstein series. And we consider the relation of $\Theta_3(0,\tau)$ and $\Theta_3(0,\tau^n)$. That is,we show that $$\mid$\Theta_3(0,\tau^n)$\mid$=$\mid$\Theta_3(0,\tau)$\mid$,\bigtriangleup(0,\tau)=\bigtriangleup(0,\tau^n)$ and $J(\tau)=J(\tau^n)$ for some $\tau\in\eta$.

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References

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