Alexander Walker

activity

20132025

most citedSecond Moments in the Generalized Gauss Circle Problem

21 citations · 52 across the 14 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

math.NT2018

Arithmetic Progressions with Restricted Digits

Aled Walker, Alexander Walker

For an integer $b ⩾ 2$ and a set $S \subset {0, \dots, b - 1}$ , we define the Kempner set $K (S, b)$ to be the set of all non-negative integers whose base- $b$ digital…

math.NT2018★ 4 cited

A Shifted Sum for the Congruent Number Problem

Thomas A. Hulse, Chan Ieong Kuan, David Lowry-Duda +1

We introduce a shifted convolution sum that is parametrized by the squarefree natural number $t$ . The asymptotic growth of this series depends explicitly on whether or not $t$ is a…