Patrick Meisner

activity

20152023

most citedOne Level Density for Cubic Galois Number Fields

6 citations · 15 across the 12 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

math.NT2018

On Incidences of $φ$ and $σ$ in the Function Field Setting

Patrick Meisner

Erdős first conjectured that infinitely often we have $φ (n) = σ (m)$ , where $φ$ is the Euler totient function and $σ$ is the sum of divisor function. This was proven true by Ford, L…

math.NT2018★ 4 cited

Erdős' Multiplication Table Problem for Function Fields and Symmetric Groups

Patrick Meisner

Erdős first showed that the number of positive integers up to $x$ which can be written as a product of two number less than $x$ has zero density. Ford then found the correct…

On Incidences of φ and σ in the Function Field Setting

Erdős' Multiplication Table Problem for Function Fields and Symmetric Groups

On Incidences of $φ$ and $σ$ in the Function Field Setting