3 citations · 7 across the 7 of their papers we have counts for
10 papers · 1 filter
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…
A "supernormal" partition statistic
Madeline Locus Dawsey, Matthew Just, Robert Schneider
We study a bijective map from integer partitions to the prime factorizations of integers that we call the "supernorm" of a partition, in which the multiplicities of the parts of pa…
Partition-theoretic formulas for arithmetic densities, II
Ken Ono, Robert Schneider, Ian Wagner
In earlier work generalizing a 1977 theorem of Alladi, the authors proved a partition-theoretic formula to compute arithmetic densities of certain subsets of the positive integers…
Eulerian series, zeta functions and the arithmetic of partitions
Robert Schneider
In this Ph.D. dissertation (2018, Emory University) we prove theorems at the intersection of the additive and multiplicative branches of number theory, bringing together ideas from…
Nuclear partitions and a formula for
Robert Schneider
Define a "nuclear partition" to be an integer partition with no part equal to one. In this study we prove a simple formula to compute the partition function by counting only…
The product of parts or "norm" of a partition
Andrew V. Sills, Robert Schneider
In this article we study the "norm" of an integer partition, which we define to be the product of the parts. This partition-theoretic statistic has appeared here and there in the l…