Ian Petrow

activity

20162025

collaborators

10 papers

math.NT2025

The cubic moment of $L$ -functions for specified local component families

Yueke Hu, Ian Petrow, Matthew P. Young

We prove Lindelöf-on-average upper bounds on the cubic moment of central values of $L$ -functions over certain families of $PGL_{2} / Q$ automorphic representati…

math.NT2024

A generalized PGL(2) Petersson/Bruggeman-Kuznetsov formula for analytic applications

Yueke Hu, Ian Petrow, Matthew P. Young

We develop generalized Petersson/Bruggeman-Kuznetsov (PBK) formulas for specified local components at non-archimedean places. In fact, we introduce two hypotheses on non-archimedea…

math.NT2019

The volumes of Miyauchi subgroups

Didier Lesesvre, Ian Petrow

Miyauchi described the $L$ and $ε$ -factors attached to generic representations of the unramified unitary group of rank three in terms of local newforms defined by a seque…

math.NT2019

The fourth moment of Dirichlet $L$ -functions along a coset and the Weyl bound

Ian Petrow, Matthew P. Young

We prove a Lindelöf-on-average upper bound for the fourth moment of Dirichlet $L$ -functions of conductor $q$ along a coset of the subgroup of characters modulo $d$ when $q^{*} ∣ d$ , wh…

math.NT2018

The Weyl bound for Dirichlet $L$ -functions of cube-free conductor

Ian Petrow, Matthew P. Young

We prove a Weyl-exponent subconvex bound for any Dirichlet $L$ -function of cube-free conductor. We also show a bound of the same strength for certain $L$ -functions of self-dual $\m…

math.NT2018

The Weyl law for algebraic tori

Ian Petrow

We give an asymptotic evaluation for the number of automorphic characters of an algebraic torus $T$ with bounded analytic conductor. The analytic conductor which we use is defined…