论文标题
双苯胺的近似值，数字平滑
Diophantine approximation with smooth numbers
论文作者
论文摘要
我们证明了一个定理，该定理是通过有理数的近似值与非理性数字的定理，其分母n不含大于log n的质量因素。我们通过使用针对应用程序的平滑数字来加强版本1中的结果。随着log n的指数变大，新指数接近1/3。
We prove a theorem about approximation to an irrational number by rational numbers whose denominator n is free of prime factors bigger than a power of log n. We strengthen the result in version 1 by using an exponential sum over smooth numbers tailored to the application. The new exponent approaches 1/3 as the exponent of log n becomes large.
