A refined Kurzweil type theorem in positive characteristic

详细信息    查看全文

• 作者：Dong Han Kim^a ; ¹ ; ^{kim2010@dongguk.edu} ; Hitoshi Nakada^b ; ² ; ^{nakada@math.keio.ac.jp} ; Rie Natsui^c ; ³ ; ^{natsui@fc.jwu.ac.jp}
• 关键词：11J61 ; 11J83 ; 11K60
• 刊名：Finite Fields and Their Applications
• 出版年：2013
• 出版时间：March, 2013
• 年：2013
• 卷：20
• 期：Complete
• 页码：64-75
• 全文大小：182 K

文摘

We consider a Kurzweil type inhomogeneous Diophantine approximation theorem in the field of the formal Laurent series for a monotone sequence of approximation. We find a necessary and sufficient condition for irrational f and monotone increasing that there are infinitely many polynomials P and Q such that , for almost every g. We also study some conditions for irrational f such that for all monotone increasing with there are infinitely many solutions for almost every g.