论文标题
广义的Davenport扩展
A Generalized Davenport Expansion
论文作者
论文摘要
我们证明了Davenport对无限序列的傅立叶扩展的新概括，该序列涉及算术函数的分数功能。还建立了与Riemann Zeta功能有关的新的Mellin变换。
We prove a new generalization of Davenport's Fourier expansion of the infinite series involving the fractional part function over arithmetic functions. A new Mellin transform related to the Riemann zeta function is also established.
