Memoirs of the American Mathematical Society ; volume 263, number 1276
Print version: Beresnevich, Victor, 1971- . Sums of reciprocals of fractional parts and multiplicative diophantine approximation. Providence, Rhode Island : American Mathematical Society, c2020 92 pages Memoirs of the American Mathematical Society ; volume 263, number 1276. ISBN 9781470440954
"January 2020, volume 263, number 1276 (sixth of 7 numbers)."
Includes bibliographical references
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.