SOME NEW IDENTITIES CONCERNING GENERALIZED FIBONACCI AND LUCAS NUMBERS

被引：0

作者：

Siar, Zafer ^{[1
]}

Keskin, Refik ^{[2
]}

机构：

[1] Bilecik Seyh Edebali Univ, Fac Sci & Arts, Dept Math, Bilecik, Turkey

[2] Sakarya Univ, Fac Sci & Arts, Dept Math, TR-54187 Sakarya, Turkey

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2013年 / 42卷 / 03期

关键词：

Generalized Fibonacci numbers; Generalized Lucas numbers;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we obtain some identities containing generalized Fibonacci and Lucas numbers. Some of them are new and some are well known. By using some of these identities we give some congruences concerning generalized Fibonacci and Lucas numbers such as V2mn+r equivalent to (-(-t)(m))(n) V-r (mod V-m), U2mn+r equivalent to (-(-t)(m))(n) U-r (mod V-m), and V2mn+r equivalent to (-t)V-mn(r) (mod U-m),U- U2mn+r equivalent to (-t)(mn) U-r (mod U-m).

引用

页码：211 / 222

页数：12

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