关于丢番图逼近度量理论中V.Bernik的一个定理
On a theorem of V. Bernik in the metrical theory of Diophantine approximation
摘要：
本文追溯到马勒在格律丢番图逼近中的一个著名问题。这个问题已经由Sprindzuk解决，随后由Alan Baker和Vasili Bernik改进。特别地，Bernik的结果建立了多项式丢番图逼近的一个收敛Khintchine型定理，即它允许任意的单调逼近误差.在本文中的单调性假设是完全删除。
英文摘要：
This paper goes back to a famous problem of Mahler in metrical Diophantine approximation. The problem has been settled by Sprindzuk and subsequently improved by Alan Baker and Vasili Bernik. In particular, Bernik's result establishes a convergence Khintchine type theorem for Diophantine approximation by polynomials, that is it allows arbitrary monotonic error of approximation. In the present paper the monotonicity assumption is completely removed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
