Michael J. Mossinghoff

activity

20052026

most citedSlices, slabs, and sections of the unit hypercube

25 citations · 47 across the 19 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

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…

math.NT2021

The Integer group determinants for the Heisenberg group of order $p^{3}$

Michael J. Mossinghoff, Christopher Pinner

We establish a congruence satisfied by the integer group determinants for the non-abelian Heisenberg group of order $p^{3}$ . We characterize all determinant values coprime to $p$ , gi…

math.NT2021

Explicit lower bounds on $∣ L (1, χ) ∣$

Michael J. Mossinghoff, Valeriia V. Starichkova, Timothy S. Trudgian

Let $χ$ denote a primitive, non-quadratic Dirichlet character with conductor $q$ , and let $L (s, χ)$ denote its associated Dirichlet $L$ -function. We show that $|L(1, χ)| \geq 1/(9.…

math.NT2021

Wolstenholme and Vandiver primes

Andrew R. Booker, Shehzad Hathi, Michael J. Mossinghoff +1

A prime $p$ is a Wolstenholme prime if $(p 2 p) \equiv 2$ mod $p^{4}$ , or, equivalently, if $p$ divides the numerator of the Bernoulli number $B_{p - 3}$ ; a Vandiver prime $p$ is o…

Fake Mu's

The Integer group determinants for the Heisenberg group of order p3

Explicit lower bounds on ∣L(1,χ)∣

Wolstenholme and Vandiver primes

The Integer group determinants for the Heisenberg group of order $p^{3}$

Explicit lower bounds on $∣ L (1, χ) ∣$