Transcendence of Jacobi's theta series and related results

被引:0
|
作者
Duverney, D [1 ]
Nishioka, K [1 ]
Nishioka, K [1 ]
Shiokawa, I [1 ]
机构
[1] Keio Univ, Kohoku Ku, Yokohama, Kanagawa 223, Japan
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D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This note will show that a recent theorem of Nesterenko on modular functions has an interesting consequence on the independence problem of the values which Jacobi's theta functions take at algebraic numbers. As an application, the transcendence of some series involving second order linear recurrences will be proved.
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页码:157 / 168
页数:6
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