4 citations · 7 across the 23 of their papers we have counts for
26 papers
Positivity and tails of Jacobi theta series
Nian Hong Zhou
Using elementary -series manipulations, we establish a positivity property for the tails of the Jacobi theta series. Specifically, for integers and , define \[…
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…
Theta functions and transformations of bilateral basic hypergeometric series
Nian Hong Zhou
We establish new transformation formulas involving theta functions and certain bilateral basic hypergeometric series. From these formulas, we construct companion -series for a c…
Restricted divisor functions and half Appell sums in higher-level
Meng-Juan Tian, Nian Hong Zhou
We examine the value distributions of coefficients in certain -series related to half Appell sums in higher-level and the first moment of the Garvan's -rank of partitions. We…
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…