SOME ARITHMETICAL PROPERTIES ON HYPERBOLA

被引：1

作者：

Bansimba, Gilda Rech ^{[1
]}

Babindamana, Regis Freguin ^{[1
]}

Bossoto, Basile Guy Richard ^{[1
]}

机构：

[1] Univ Marien Ngouabi, Fac Sci & Tech, BP 69, Brazzaville, Rep Congo

来源：

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2021年 / 50卷 / 01期

关键词：

hyperbola curve; integral points; factorization; isomorphisms; ELLIPTIC-CURVES;

D O I：

10.17654/NT050010045

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate arithmetical properties on the 0-genus algebraic structure of the hyperbola parametrized by B(x, y) = {( x, y) is an element of Q x Q/y(2) = x(2) - 4nx}, and study algebraic and arithmetical properties on the group structure among isomorphisms, integral solutions, and relations between integral solutions and divisors of the parameter n, and present a factorization method.

引用

页码：45 / 100

页数：56

共 50 条

[1] Promotion of Some Properties from Hyperbola to Hyperboloid
Xing, Chao
Hou, Xuegang
[J]. 2012 INTERNATIONAL CONFERENCE ON FUTURE INFORMATION TECHNOLOGY AND MANAGEMENT SCIENCE & ENGINEERING (FITMSE 2012), 2012, 14 : 292 - 297
[2] Some arithmetical properties of Apery numbers
Radoux, C
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1995, 64 (1-2) : 11 - 19
[3] SOME PROPERTIES OF ADDITIVE ARITHMETICAL FUNCTIONS
PAUL, EM
[J]. SANKHYA-THE INDIAN JOURNAL OF STATISTICS SERIES A, 1967, 29 (SEP): : 279 - 282
[4] Some Properties of Completely Arithmetical Rings
Lu, Xinmin
[J]. ALGEBRA COLLOQUIUM, 2016, 23 (01) : 83 - 88
[5] HARMONIC PROPERTIES OF SOME ARITHMETICAL SEQUENCES
COQUET, J
[J]. MANUSCRIPTA MATHEMATICA, 1982, 39 (2-3) : 233 - 243
[6] ON SOME ARITHMETICAL PROPERTIES OF STIRLING NUMBERS
PINTER, A
[J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 1992, 40 (1-2): : 91 - 95
[7] SOME ASYMPTOTIC PROPERTIES OF COLQUHOUNS ESTIMATORS FOR A RECTANGULAR HYPERBOLA
OLIVER, FR
[J]. THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS, 1970, 19 (03): : 269 - &
[8] Some arithmetical properties of cyclotomic cosets and their applications
Wang, Dandan
Cao, Xiwang
Mi, Jiafu
[J]. DISCRETE MATHEMATICS, 2020, 343 (09)
[9] ON SOME PROPERTIES OF VALUES OF A CLASS OF ARITHMETICAL FUNCTIONS
BUKOR, J
TOTH, J
[J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 1995, 46 (1-2): : 187 - 193
[10] On Some Arithmetical Properties of the Genocchi Numbers and Polynomials
Kyoung Ho Park
Young-Hee Kim
[J]. Advances in Difference Equations, 2008

← 1 2 3 4 5 →