[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2002.39.2.299

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)

Publication Information

Bulletin of the Korean Mathematical Society / v.39, no.2, 2002 , pp. 299-307 More about this Journal

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 $\tau\in\eta$ .

Keywords

infinite product; Eisenstein series; theta serise;

Citations & Related Records

Reference

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