3 papers
math.NT2026
Parameterized partial theta identities and a unified -difference proof
Chen-Yang Su
We establish five families of integer-parameter extensions of Ramanujan's partial theta identities. The families follow from a common two-parameter specialization of Andrews' trans…
math.CO2026
Parallel packing a square with isosceles right triangles and equilateral triangles
Chen-Yang Su
Suppose that is a unit square. Let (resp. ) be an isosceles right triangle (resp. an equilateral triangle). We prove that any collection of triangles homothetic to (…
math.CO2018
Four identities related to third order mock theta functions
Su-Ping Cui, Nancy S. S. Gu, Chen-Yang Su
Ramanujan presented four identities for third order mock theta functions in his Lost Notebook. In 2005, with the aid of complex analysis, Yesilyurt first proved these four identiti…