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Two Diophantine Birds with One Stone
Author(s) -
Leech John
Publication year - 1981
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/13.6.561
Subject(s) - diophantine equation , mathematics , integer (computer science) , pure mathematics , combinatorics , discrete mathematics , computer science , programming language
Integer Solutions are found to the equations t 2 −3( a 2 , b 2 , ( a + b ) 2 , ( a − b ) 2 ) = p 2 , q 2 , r 2 , s 2 . These lead surprisingly to solutions to the equations u 2 + ( c 2 , d 2 , ( c + d ) 2 , ( c − d ) 2 ) = p 2 , q 2 , v 2 , w 2 , with the same values of p and q .
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