11 citations · 40 across the 28 of their papers we have counts for
30 papers
Picking up the partial sums of the Möbius function problem with probabilistic number theory
Maxie Dion Schmidt
We revisit several hybrid multiplicative-to-additive type functions from a recent preprint article. These functions, with Dirichlet generating function (DGF) $ζ(s)^{-1} (1+P…
Magic partition functions: Sign smoothing convolutions with Dirichlet invertible arithmetic functions
Maxie Dion Schmidt
Sign changes in sums of arithmetic functions and their inverses are a subtle topic with room to grow new results. Suppose that is the summatory fun…
Power iteration for matrices with power series entries
Ragon Ebker, Anna Muranova, Max Schmidt
We prove the method of power iteration for matrices with at most finite entries from the Levi-Civita field under the assumption that there exists an eigenvalue with th…
A Partition Identity Related to Stanley's Theorem
Mircea Merca, Maxie D. Schmidt
In this paper, we use the Lambert series generating function for Euler's totient function to introduce a new identity for the number of 's in the partitions of . A new expans…
The partition function in terms of the classical Möbius function
Mircea Merca, Maxie D. Schmidt
In this paper, we investigate decompositions of the partition function from the additive theory of partitions considering the famous Möbius function from multiplicati…
Amenability for unitary groups of C*-algebras
Vadim Alekseev, Max Schmidt, Andreas Thom
In this note we state a conjecture that characterizes unital C*-algebras for which the unitary group is amenable as a topological group in the norm topology. We prove the conjectur…