Metallic means and Pythagorean triples

被引：0
|
作者：
Rajput, Chetansing [1 ]
Manjunath, Hariprasad [2 ]
机构：
[1] Govt Maharashtra, Mumbai, India
[2] Univ Cote dAzur, INRIA Ctr, Nice, France
来源：
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2024年 / 30卷 / 01期
关键词：
Fibonacci sequence; Golden ratio; Primitive Pythagorean triples; Metallic means;
D O I：
10.7546/nntdm.2024.30.1.184-194
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we study the connection between Pythagorean triples and metallic means. We derive several interconnecting identities between different metallic means. We study the Pythagorean triples in the three-term recurrent sequences corresponding to different metallic means. Further, we relate different families of primitive Pythagorean triples to the corresponding metallic means.
引用
收藏
页码：184 / 194
页数：11
相关论文
共 50 条
  • [21] Mean crowds and Pythagorean triples
    Siler, JR
    FIBONACCI QUARTERLY, 1998, 36 (04): : 323 - 326
  • [22] ALMOST-PYTHAGOREAN TRIPLES
    WEXLER, C
    GOLDBERG, M
    AMERICAN MATHEMATICAL MONTHLY, 1967, 74 (06): : 738 - &
  • [23] A METHOD OF OBTAINING PYTHAGOREAN TRIPLES
    NISHI, A
    AMERICAN MATHEMATICAL MONTHLY, 1987, 94 (09): : 869 - 871
  • [24] ON THE ALGEBRAIC STRUCTURE OF PYTHAGOREAN TRIPLES
    Anatriello, Giuseppina
    Vincenzi, Giovanni
    ATTI ACCADEMIA PELORITANA DEI PERICOLANTI-CLASSE DI SCIENZE FISICHE MATEMATICHE E NATURALI, 2024, 102 (01):
  • [25] Frobenius numbers of Pythagorean triples
    Gil, Byung Keon
    Han, Ji-Woo
    Kim, Tae Hyun
    Koo, Ryun Han
    Lee, Bon Woo
    Lee, Jaehoon
    Nam, Kyeong Sik
    Park, Hyeon Woo
    Park, Poo-Sung
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2015, 11 (02) : 613 - 619
  • [26] AN OMEGA THEOREM ON PYTHAGOREAN TRIPLES
    KUHLEITNER, M
    ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 1993, 63 : 105 - 113
  • [27] PYTHAGOREAN TRIPLES AND TRIANGULAR NUMBERS
    BALLEW, DW
    WEGER, RC
    FIBONACCI QUARTERLY, 1979, 17 (02): : 168 - 172
  • [28] Pythagorean Triples with Common Sides
    Ochieng, Raymond Calvin
    Chikunji, Chiteng'a John
    Onyango-Otieno, Vitalis
    JOURNAL OF MATHEMATICS, 2019, 2019
  • [29] On Pythagorean triples and their harmonic fourths
    Rieger, GJ
    JOURNAL OF NUMBER THEORY, 2001, 91 (01) : 164 - 173
  • [30] APPEARANCE OF INTEGERS IN PYTHAGOREAN TRIPLES
    WESTPHAL, WR
    MARSTON, HM
    AMERICAN MATHEMATICAL MONTHLY, 1975, 82 (03): : 303 - 304
12345