论文标题
统一的Titchmarsh除数问题
Uniform Titchmarsh divisor problems
论文作者
论文摘要
titchmarsh型除数总和的渐近公式的差异术语是偏移参数中均匀的强误差。这适用于更通用的算术函数，例如两个正方形的总和，改善了数字表示的误差项为素数和两个正方形的总和，以及尖牙形式的傅立叶系数，从而推广了皮特的结果。
Asymptotic formulae for Titchmarsh-type divisor sums are obtained with strong error terms that are uniform in the shift parameter. This applies to more general arithmetic functions such as sums of two squares, improving the error term in the representation of the number as a sum of a prime and two squares, and to Fourier coefficients of cusp forms, generalizing a result of Pitt.
