1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.NT2025
Proof of a conjecture of Baruah and Sarma on sign patterns of certain infinite products
Bing He, Xiongze Zhang
Let \[ \sum_{n=0}^{\infty}A(n)q^{n} := \frac{(q^{2};q^{5})_{\infty}^{5}(q^{3};q^{5})_{\infty}^{5}}{(q;q^{5})_{\infty}^{5}(q^{4};q^{5})_{\infty}^{5}}, \] \[ \sum_{n=0}^{\infty} B(n)…
math.CO2025
Some conjectures of Schlosser and Zhou on sign patterns of the coefficients of infinite products
Bing He, Linpei Li
Recently, Schlosser and Zhou proposed many conjectures on sign patterns of the coefficients appearing in the -series expansions of the infinite Borwein product and other infinit…
math.CA2017★ 1 cited
Another finite field analogue for Appell series F_{1}
Bing He
In this paper we introduce another finite field analogue for Appell series F_{1} and obtain certain reduction formulae and a generating function for this analogue.