On solutions of $\sum_{i=1}^n 1/x_i = 1$ in integers of the form $2^a k^b$, where $k$ is a fixed odd positive integer

Computer solution of Diophantine equations (11Y50) Counting solutions of Diophantine equations (11D45) Diophantine equations in many variables (11D72) Rational numbers as sums of fractions (11D68)

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