Abstract
We provide an extension of the transference results of Beresnevich and Velani connecting homogeneous and inhomogeneous Diophantine approximation on manifolds and provide bounds for inhomogeneous Diophantine exponents of affine subspaces and their nondegenerate submanifolds.
| Original language | English |
|---|---|
| Pages (from-to) | 415-431 |
| Number of pages | 17 |
| Journal | Mathematical proceedings of the Cambridge Philosophical Society |
| Volume | 166 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2019 |
Cite this
On Diophantine transference principles. / Ghosh, Anish; Marnat, Antoine.
In: Mathematical proceedings of the Cambridge Philosophical Society, Vol. 166, No. 3, 2019, p. 415-431.Research output: Contribution to journal › Article › Research › peer-review
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TY - JOUR
T1 - On Diophantine transference principles
AU - Ghosh, Anish
AU - Marnat, Antoine
PY - 2019
Y1 - 2019
N2 - We provide an extension of the transference results of Beresnevich and Velani connecting homogeneous and inhomogeneous Diophantine approximation on manifolds and provide bounds for inhomogeneous Diophantine exponents of affine subspaces and their nondegenerate submanifolds.
AB - We provide an extension of the transference results of Beresnevich and Velani connecting homogeneous and inhomogeneous Diophantine approximation on manifolds and provide bounds for inhomogeneous Diophantine exponents of affine subspaces and their nondegenerate submanifolds.
UR - http://www.scopus.com/inward/record.url?scp=85042181965&partnerID=8YFLogxK
UR - https://graz.pure.elsevier.com/en/publications/on-diophantine-transference-principles(b45c8659-9b51-4947-8cde-c3694b03bb78).html
U2 - 10.1017/S0305004118000014
DO - 10.1017/S0305004118000014
M3 - Article
VL - 166
SP - 415
EP - 431
JO - Mathematical proceedings of the Cambridge Philosophical Society
JF - Mathematical proceedings of the Cambridge Philosophical Society
SN - 0305-0041
IS - 3
ER -