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∑k=1∞ψ1(k)k=∑n=1∞AnB\sum _{ k=1 }^{ \infty }{ \dfrac { { \psi }^{ 1 }\left( k \right) }{ k } } =\sum _{ n=1 }^{ \infty }{ \dfrac { A }{ { n }^{ B } } } k=1∑∞kψ1(k)=n=1∑∞nBA
If the equation above holds true for positive integers AAA and BBB, find A+BA+BA+B.
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