Mediant-Rosen映射的度量和算术性质
Metric and arithmetic properties of mediant-Rosen maps
摘要:
给出了Hecke三角形群的Hurwitz值的一个基于连分数的验证,完成了Lehner的程序.遍历论表明,利用Rosen连分数的中值收敛的丢番图逼近足以确定Haas和级数由双曲几何得到的值.
英文摘要:
A continued fractions based verification of the Hurwitz values for the Hecke triangle groups is given, completing a program of Lehner's. Ergodic theory shows that Diophantine approximation by mediant convergents of the Rosen continued fractions is sufficient to determine the values that Haas and Series found by hyperbolic geometry.
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。