Open AccessDiophantine quadruples of numbers whose elements are in proportion
Author(s) -
A. M. S. Ramasamy
Publication year - 2017
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.48.2017.1972
Subject(s) - mathematics , diophantine equation , combinatorics , type (biology) , diophantine set , discrete mathematics , biology , ecology
In this paper certain non-F-type $P_{3,k}$ sequences which contain Diophantine quadruples of numbers in proportion are presented. It is proved that there exist an infinite number of non-F-type $P_{3,k}$ sequences which possess Diophantine quadruples of numbers in proportion.