Khintchine's theorem and transference principle for star bodies

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dc.creatorDodson, M. M.
dc.creatorKristensen, S.
dc.date2006-01-12
dc.date.accessioned2026-07-07T06:58:50Z
dc.date.available2026-07-07T06:58:50Z
dc.descriptionAnalogues of Khintchine's Theorem in simultaneous Diophantine approximation in the plane are proved with the classical height replaced by fairly general planar distance functions or equivalently star bodies. Khintchine's transference principle is discussed for distance functions and a direct proof for the multiplicative version is given. A transference principle is also established for a different distance function.
dc.description3 figures
dc.identifierhttps://arxiv.org/abs/math/0601286
dc.identifierhttp://arxiv.org/abs/math/0601286
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107521
dc.subjectNumber Theory
dc.subject11J83; 11H16
dc.titleKhintchine's theorem and transference principle for star bodies
dc.typetext

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