B. Clare

collaborators

2 papers

math.NT2026

The Artin-Hasse $p$ -section: weighted convolutions and $p$ -adic recovery

Ben Clare

Let $p$ be an odd prime, and let $a_{n}$ be the reduction modulo $p$ of the $n$ th coefficient of the Artin-Hasse exponential. We study the weighted $p$ -section convolutions $W_{k}$ for…

math.NT2008

Nonstandard Mathematics and New Zeta and L-Functions

Benjamin Clare

This Ph.D. thesis, prepared under the supervision of Professor Ivan Fesenko, defines new zeta functions in a nonstandard setting and their analytical properties are developed. Furt…

The Artin-Hasse p-section: weighted convolutions and p-adic recovery

Nonstandard Mathematics and New Zeta and L-Functions

The Artin-Hasse $p$ -section: weighted convolutions and $p$ -adic recovery