Diophantine exponents and the Khintchine Groshev theorem

作者：Ghosh Anish^*

来源：Monatshefte fur Mathematik, 2011, 163(3): 281-299.

DOI：10.1007/s00605-010-0239-3

• Diophantine approximation on manifolds
• Flows on homogeneous spaces
• Khintchine-Groshev Theorem

We prove the convergence case of the Khintchine-Groshev theorem for affine subspaces and their nondegenerate submanifolds, answering a conjecture of D. Kleinbock.

• 出版日期2011-7