activity
20172022
most citedPariah moonshine

12 citations · 12 across the 2 of their papers we have counts for

collaborators

5 papers

math.QA2022

1-point functions for symmetrized Heisenberg and symmetrized lattice vertex operator algebras

Geoffrey Mason, Michael H. Mertens

We obtain explicit formulas for the -point functions of all states in the symmetrized Heisenberg algebra and symmetrized lattice VOAs . For this we employ a new $\m…

math.NT2019

On Weierstrass mock modular forms and a dimension formula for certain vertex operator algebras

Lea Beneish, Michael H. Mertens

Using techniques from the theory of mock modular forms and harmonic Maass forms, especially Weierstrass mock modular forms, we establish several dimension formulas for certain stro…

math.NT2019

Mock modular Eisenstein series with Nebentypus

Michael H. Mertens, Ken Ono, Larry Rolen

By the theory of Eisenstein series, generating functions of various divisor functions arise as modular forms. It is natural to ask whether further divisor functions arise systemati…

math.NT2019

Periodicities for Taylor coefficients of half-integral weight modular forms

Pavel Guerzhoy, Michael H. Mertens, Larry Rolen

Congruences of Fourier coefficients of modular forms have long been an object of central study. By comparison, the arithmetic of other expansions of modular forms, in particular Ta…

math.RT201712 cited

Pariah moonshine

John F. R. Duncan, Michael H. Mertens, Ken Ono

Finite simple groups are the building blocks of finite symmetry. The effort to classify them precipitated the discovery of new examples, including the monster, and six pariah group…