Ian Whitehead

most citedApollonian Packings and Kac-Moody Root Systems

1 citations · 1 across the 2 of their papers we have counts for

collaborators

4 papers

math.NT2021

Domains of Convergence for Polyhedral Packings

Nooria Ahmed, William Ball, Ellis Buckminster +6

Polyhedral circle packings are generalizations of the Apollonian packing. We develop the theory of the Apollonian group, Descartes quadratic form, and related objects for all polyh…

math.NT2021★ 1 cited

Apollonian Packings and Kac-Moody Root Systems

Ian Whitehead

We study Apollonian circle packings in relation to a certain rank 4 indefinite Kac-Moody root system $Φ$ . We introduce the generating function $Z (s)$ of a packing, an expo…

math.RT2018

Correction factors for Kac-Moody groups and $t$ -deformed root multiplicities

Dinakar Muthiah, Anna Puskás, Ian Whitehead

We study a correction factor for Kac-Moody root systems which arises in the theory of $p$ -adic Kac-Moody groups. In affine type, this factor is known, and its explicit computation…

math.NT2018

On the third moment of $L (\frac{1}{2}, χ_{d})$ II: the number field case

Adrian Diaconu, Ian Whitehead

We establish a smoothed asymptotic formula for the third moment of quadratic {D}irichlet $L$ -functions at the central value. In addition to the main term, which is known, we prove…

Domains of Convergence for Polyhedral Packings

Apollonian Packings and Kac-Moody Root Systems

Correction factors for Kac-Moody groups and t-deformed root multiplicities

On the third moment of L(21​,χd​) II: the number field case

Correction factors for Kac-Moody groups and $t$ -deformed root multiplicities

On the third moment of $L (\frac{1}{2}, χ_{d})$ II: the number field case