16 citations · 148 across the 34 of their papers we have counts for
38 papers
Partition-theoretic model of prime distribution
Aidan Botkin, Madeline L. Dawsey, David J. Hemmer +2
We make an application of ideas from partition theory to a problem in multiplicative number theory. We propose a deterministic model of prime number distribution, from first princi…
Composition-theoretic series in partition theory
Robert Schneider, Andrew V. Sills
We use sums over integer compositions analogous to generating functions in partition theory, to express certain partition enumeration functions as sums over compositions into parts…
Infinite series for and other identities
Robert Schneider
Using techniques from calculus, we combine classical identities for , , and harmonic numbers, to arrive at a nice infinite series formula for that does…
Combinatorial formulas for arithmetic density
Robert Schneider, Andrew V. Sills
Let denote the arithmetic density of a subset . We derive a power series in , , with coëfficients related to integer partitions…
Computational study of non-unitary partitions
A. P. Akande, Tyler Genao, Summer Haag +4
Following Cayley, MacMahon, and Sylvester, define a non-unitary partition to be an integer partition with no part equal to one, and let denote the number of non-unitary part…
Semi-modular forms from Fibonacci-Eisenstein series
A. P. Akande, Robert Schneider
In recent work, M. Just and the second author defined a class of "semi-modular forms" on , in analogy with classical modular forms, that are "half modular" in a particul…