4 citations · 7 across the 23 of their papers we have counts for
5 papers · 1 filter
Monotonicity of the rank functions for concave compositions
Nian Hong Zhou
A (strongly) concave composition of an integer is a sequence of positive integers that is (strictly) decreasing to a point and then (strictly) increasing thereafter, such that…
Residue class biases in unrestricted partitions, partitions into distinct parts, and overpartitions
Michael J. Schlosser, Nian Hong Zhou
We prove specific biases in the number of occurrences of parts belonging to two different residue classes and , modulo a fixed non-negative integer , for the sets of unre…
Unimodality and certain bivariate formal Laurent series
Nian Hong Zhou
In this paper, we examine the unimodality and strict unimodality of certain formal bivariate Laurent series with non-negative coefficients. We show that the sets of these formal bi…
Positivity and tails of pentagonal number series
Nian Hong Zhou
In this paper, we refine a result of Andrews and Merca on truncated pentagonal number series. Subsequently, we establish some positivity results involving Andrews--Gordon--Bressoud…
Expansions of averaged truncations of basic hypergeometric series
Michael J. Schlosser, Nian Hong Zhou
Motivated by recent work of George Andrews and Mircea Merca on the expansion of the quotient of the truncation of Euler's pentagonal number series by the complete series, we provid…