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Diophantine exponents and the Khintchine Groshev theorem

✍ Scribed by Anish Ghosh

Book ID: 106198832
Publisher: Springer Vienna
Year: 2010
Tongue: English
Weight: 260 KB
Volume: 163
Category: Article
ISSN: 0026-9255
DOI: 10.1007/s00605-010-0239-3

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## Abstract This paper deals with a Hausdorff moment problem with complex exponents, that is, given a sequence of complex numbers __(z~n~)n__ and a fixed space __X__ of functions denned on [0, 1], we ask under which conditions on a sequence (__a__~__n__~)~__n__~ the moment problem __a__~__n__~ = ∫