W. Zhai

activity

20082022

Δ (x)

(II)

56 citations · 90 across the 26 of their papers we have counts for

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Showing 2016 · math.NTShow all

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math.NT2016

On the Sign Changes of a Weighted Divisor Problem

Lirui Jia, Tianxin Cai, Wenguang Zhai

Let $S (x; \frac{a _{1}}{q _{1}}, \frac{a _{2}}{q _{2}}) = \sum^{'}_{mn \leq x} cos (2 π m \frac{a _{1}}{q _{1}}) sin (2 π n \frac{a _{2}}{q _{2}})$ with $x\geq q_1q_2, 1\leq a_i\leq…

math.NT2016★ 1 cited

A Weighted Divisor Problem

Lirui Jia, Wenguang Zhai

We study a weighted divisor function $mn \leq x \sum^{'} cos (2 π m θ_{1}) sin (2 π n θ_{2})$ , where $θ_{i} (0 < θ_{i} < 1)$ is a rational number. By connecting it with the divisor pro…