Greg S. Martin

collaborators

2 papers

math.NT2024

The least primary factor of the multiplicative group

Greg Martin, Chau Nguyen

Let $S (n)$ denote the least primary factor in the primary decomposition of the multiplicative group $M_{n} = (Z / n Z)^{\times}$ . We give an asymptotic formula, with order of ma…

math.NT2021

Fake Mu's

Greg Martin, Michael J. Mossinghoff, Timothy S. Trudgian

Let $f (n)$ denote a multiplicative function with range ${- 1, 0, 1}$ , and let $F (x) = \sum_{n \leq x} f (n)$ . Then $F (x) / x = a x + b + E (x)$ , where $a$ and $b$ are consta…