ARITHMETIC OF INFINITE PRODUCTS AND ROGERS-RAMANUJAN CONTINUED FRACTIONS

被引：0

作者：

Kim, Daeyeoul ^{[1
,2
,3
]}

Koo, Ja Kyung ^{[4
]}

Simsek, Yilmaz ^{[5
]}

机构：

[1] Natl Inst Math Sci, Tajeon 305340, South Korea

[2] Chonbuk Natl Univ, Dept Math, Chonju 561756, South Korea

[3] Chonbuk Natl Univ, Inst Pure & Appl Math, Chonju 561756, South Korea

[4] Korea Adv Inst Sci & Technol, Dept Math, Taejon 305701, South Korea

[5] Univ Akdeniz, Fac Sci, Dept Math, TR-07058 Antalya, Turkey

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2007年 / 22卷 / 03期

关键词：

transcendental number; algebraic number; theta series; Rogers-Ramanujan continued fraction;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let k be an imaginary quadratic field, h the complex upper half plane, and let tau is an element of h boolean AND k, q = e(pi i tau). We find a lot of algebraic properties derived from theta functions, and by using this we explore some new algebraic numbers from Rogers-Ramanujan continued fractions.

引用

页码：331 / 351

页数：21

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