A. Booker

activity

20122020

most citedSimple zeros of degree 2 L-functions

2 citations · 2 across the 3 of their papers we have counts for

collaborators

5 papers

math.NT2020

On a recursively defined sequence involving the prime counting function

Altug Alkan, Andrew R. Booker, Florian Luca

We prove some properties of the sequence ${a_{n}}_{n \geq 1}$ defined by $a_{n} = π (n) - π (\sum_{k = 1}^{n - 1} a_{k}) .$

math.NT2019

Cracking the problem with 33

Andrew R. Booker

Inspired by the Numberphile video "The uncracked problem with 33" by Tim Browning and Brady Haran, we investigate solutions to $x^{3} + y^{3} + z^{3} = k$ for a few small values of $k$ . We fin…

math.NT2019

Test vectors for Rankin-Selberg $L$ -functions

Andrew R. Booker, M. Krishnamurthy, Min Lee

We study the local zeta integrals attached to a pair of generic representations $(π, τ)$ of $G L_{n} \times G L_{m}$ , $n > m$ , over a $p$ -adic field. Through a process of unipotent averaging…

math.NT2016

A variant of the Euclid-Mullin sequence containing every prime

Andrew R. Booker

We consider a generalization of Euclid's proof of the infinitude of primes and show that it leads to variants of the Euclid-Mullin sequence that provably contain every prime number…

math.NT2012★ 2 cited

Simple zeros of degree 2 L-functions

Andrew R. Booker

We prove that the complete L-functions of classical holomorphic newforms have infinitely many simple zeros.

On a recursively defined sequence involving the prime counting function

Cracking the problem with 33

Test vectors for Rankin-Selberg L-functions

A variant of the Euclid-Mullin sequence containing every prime

Simple zeros of degree 2 L-functions

Test vectors for Rankin-Selberg $L$ -functions