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Table of Contents
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.
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.