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Solutions of Diophantine equations and degree-one polynomial zeros of Racah coefficients

K Srinivasa Roa, V Rajeswari and R C King

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It is shown that the complete set of polynomial zeros of degree one of the Racah coefficients can be obtained only from the full eight-parameter solution of the multiplicative Diophantine equation: xyz=uvw subject to the constraint z=x+y+u+v+w. All other parametric solutions obtained are shown to represent only proper subsets of the complete set.


PACS

02.10.De Algebraic structures and number theory

03.65.Fd Algebraic methods

MSC

11D57 Multiplicative and norm form equations

81Rxx Groups and algebras in quantum theory

Subjects

Mathematical physics

Quantum information and quantum mechanics

Dates

Issue 9 (7 May 1988)



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