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Sums of reciprocals
Multiplicative Diophantine approximation
Ostrowski expansion
Estimates for n[alpha] - [gamma]
A gaps lemma and its consequences
Counting solutions to n[alpha] - [gamma] < [epsilon]
Establishing the homogeneous results on sums of reciprocals
Establishing the inhomogeneous results on sums of reciprocals
Proofs of theorems 2.2, 2.3 and 2.4
Proof of theorem 2.1.

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