Rory McClenagan

collaborators

3 papers

math.AG2026

Optimally Packing a Large Square by Unit Squares

Rory McClenagan

We show that a large square of sidelength $x$ can be packed by unit squares in a manner so that the wasted space $W (x) = O (x^{3/5})$ .

math.NT2022

The Distribution of Values of $\frac{L ^{'}}{L} (1/2 + ε, χ_{D})$

Alia Hamieh, Rory McClenagan

We determine the limiting distribution of the family of values $\frac{L ^{'}}{L} (1/2 + ε, χ_{D})$ as $D$ varies over fundamental discriminants. Here, $0 < ε < \frac{1}{2}$ , and $χ_{D}$ is the real ch…

math.MG2022

Perfectly packing a cube by cubes of nearly harmonic sidelength

Rory McClenagan

Let $d$ be an integer greater than $1$ , and let $t$ be fixed such that $\frac{1}{d} < t < \frac{1}{d - 1}$ . We prove that for any $n_{0}$ chosen sufficiently large depending upon $t$ ,…

Optimally Packing a Large Square by Unit Squares

The Distribution of Values of LL′​(1/2+ε,χD​)

Perfectly packing a cube by cubes of nearly harmonic sidelength

The Distribution of Values of $\frac{L ^{'}}{L} (1/2 + ε, χ_{D})$