3 papers
math.NT2026
Explicit constructions for Ramanujan-type congruences
Wei Wang
For an integer-valued sequence and a prime , a Ramanujan-type congruence is a relation of the form , where $δ_{\el…
math.NT2026
Eichler-Selberg relations for the third-order mock theta functions
Wei Wang
Ramanujan's third-order mock theta function admits the well-known Appell-Lerch series representation: \[ \sum_{n=0}^{\infty}\frac{q^{n^2}}{(-q;q)_n^2}=\frac{2}{(q;q)_{\infty…
math.NT2025
Shimura lift of Rankin-Cohen brackets of eigenforms and theta series
Wei Wang
The Shimura lift of a Hekce eigenform multiplied by a theta series is the square of the form. We extend this result by generalizing the product map to the Rankin-Cohen bracket. We…