### Abstract

We study the relation between the Kaneko-Zagier equation and the Mathur-Mukhi-Sen classification, and extend it to the case of solutions with logarithmic terms, which correspond to pseudo-characters of non-rational vertex operator algebras. As an application, we prove a non-existence theorem of rational vertex operator algebras.

Original language | English |
---|---|

Pages (from-to) | 439-453 |

Number of pages | 15 |

Journal | Letters in Mathematical Physics |

Volume | 103 |

Issue number | 4 |

DOIs | |

Publication status | Published - Jan 1 2013 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Letters in Mathematical Physics*,

*103*(4), 439-453. https://doi.org/10.1007/s11005-012-0602-5

**Modular Forms and Second Order Ordinary Differential Equations : Applications to Vertex Operator Algebras.** / Kaneko, Masanobu; Nagatomo, Kiyokazu; Sakai, Yuichi.

Research output: Contribution to journal › Article

*Letters in Mathematical Physics*, vol. 103, no. 4, pp. 439-453. https://doi.org/10.1007/s11005-012-0602-5

}

TY - JOUR

T1 - Modular Forms and Second Order Ordinary Differential Equations

T2 - Applications to Vertex Operator Algebras

AU - Kaneko, Masanobu

AU - Nagatomo, Kiyokazu

AU - Sakai, Yuichi

PY - 2013/1/1

Y1 - 2013/1/1

N2 - We study the relation between the Kaneko-Zagier equation and the Mathur-Mukhi-Sen classification, and extend it to the case of solutions with logarithmic terms, which correspond to pseudo-characters of non-rational vertex operator algebras. As an application, we prove a non-existence theorem of rational vertex operator algebras.

AB - We study the relation between the Kaneko-Zagier equation and the Mathur-Mukhi-Sen classification, and extend it to the case of solutions with logarithmic terms, which correspond to pseudo-characters of non-rational vertex operator algebras. As an application, we prove a non-existence theorem of rational vertex operator algebras.

UR - http://www.scopus.com/inward/record.url?scp=84874811167&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84874811167&partnerID=8YFLogxK

U2 - 10.1007/s11005-012-0602-5

DO - 10.1007/s11005-012-0602-5

M3 - Article

AN - SCOPUS:84874811167

VL - 103

SP - 439

EP - 453

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 4

ER -