where n is dimenison of A, and the sum is taken over s and the sets of all kl ≥ 0 satisfying the linear Diophantine equation
Accordingly, the frequency resonance condition is equivalent to a Diophantine equation with many unknowns.
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Daihachiro Sato (June 1, 1932 – May 28, 2008) was a Japanesemathematician who was awarded the Lester R. Ford Award in 1976 for his work in number theory, specifically on his work in the Diophantine representation of prime numbers.
Trygve Nagell (July 13, 1895, Oslo – January 24, 1988, Uppsala) was a Norwegian mathematician, known for his works on the Diophantine equations within number theory.