Michael Griffin

collaborators

3 papers

math.NT2025

Some topological genera and Jacobi forms

Tewodros Amdeberhan, Michael Griffin, Ken Ono

We revisit and elucidate the $A$ -genus, Hirzebruch's $L$ -genus and Witten's $W$ -genus, cobordism invariants of special classes of manifolds. After slight modification, in…

math.NT2024

Traces of partition Eisenstein series

Tewodros Amdeberhan, Michael Griffin, Ken Ono +1

We study "partition Eisenstein series", extensions of the Eisenstein series $G_{2 k} (τ),$ defined by $$λ=(1^{m_1}, 2^{m_2},\dots, k^{m_k}) \vdash k \ \ \ \ \ \longmapsto \ \ \ \ \ G…

math.NT2024

A note on odd partition numbers

Michael Griffin, Ken Ono

Ramanujan's celebrated partition congruences modulo $ℓ \in {5, 7, 11}$ assert that $p (ℓ n + δ_{ℓ}) \equiv 0 (mod ℓ),$ where $0 < δ_{ℓ} < ℓ$ satisfies $24δ_{\ell}\eq…