PERIODIC CONTINUED FRACTIONS AND JACOBI SYMBOLS

被引：3

作者：

Girstmair, Kurt ^{[1
]}

机构：

[1] Univ Innsbruck, Inst Math, A-6020 Innsbruck, Austria

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2012年 / 8卷 / 06期

关键词：

Periodic continued fractions; Jacobi symbol; periodicity of Jacobi symbols;

D O I：

10.1142/S1793042112500911

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Previously we proved the periodicity of the Jacobi symbol (p(k)/q(k)) for the convergents p(k)/q(k) of infinite purely periodic continued fractions. The aim of this note is to establish an analogous result for mixed periodic continued fractions.

引用

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页码：1519 / 1525

页数：7

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