Sums of Reciprocals of Fractional Parts and Multiplicative Diophantine Approximation (Memoirs of the American Mathematical Society)

by: Alan Haynes (author) & Sanju Velani (author) Victor Beresnevich (author) (Author)

Publisher: American Mathematical Society

Publication Date: 30 Jan. 2020

Language: English

Print Length: 77 pages

ISBN-10: 1470440954

ISBN-13: 9781470440954

Book Description

After after setting out problems and main results for sums of reciprocals of fractional parts and multiplicative diophantine approximations, Beresnevich, Haynes, and Velani develop techniques and establish the main results. They cover Ostrowski expansion, a gaps lemma and its consequences, establishing the homogeneous results on sums of reciprocals, establishing the inhomogeneous results on sums of reciptocals, and proofs of the four main theorems. Annotation ©2020 Ringgold, Inc., Portland, OR (protoview.com)
About the Author
After after setting out problems and main results for sums of reciprocals of fractional parts and multiplicative diophantine approximations, Beresnevich, Haynes, and Velani develop techniques and establish the main results. They cover Ostrowski expansion, a gaps lemma and its consequences, establishing the homogeneous results on sums of reciprocals, establishing the inhomogeneous results on sums of reciptocals, and proofs of the four main theorems. Annotation ©2020 Ringgold, Inc., Portland, OR (protoview.com)