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 - 2013/4

Y1 - 2013/4

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

SN - 0377-9017

VL - 103

SP - 439

EP - 453

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 4

ER -