Kevin Gomez

collaborators

2 papers

math.NT2025

Hecke polynomials for the mock modular form arising from the Delta-function

Kevin Gomez, Ken Ono

We consider a mock modular form $M_{I^} (I ¨ )$ that arises naturally from Ramanujan's Delta-function. It is a weight $- 10$ harmonic Maass form whose nonholomorphic part is the "period…

math.NT2025

Pentagonal number recurrence relations for $p (n)$

Kevin Gomez, Ken Ono, Hasan Saad +1

We revisit Euler's partition function recurrence, which asserts, for integers $n \geq 1,$ that $$ p(n)=p(n-1)+p(n-2)-p(n-5)-p(n-7)+\dots = \sum_{k\in \mathbb{Z}\setminus \{0\}} (-1)…

Hecke polynomials for the mock modular form arising from the Delta-function

Pentagonal number recurrence relations for p(n)

Pentagonal number recurrence relations for $p (n)$