TY - JOUR AU1 - Kaneko, Masanobu AU2 - Nagatomo, Kiyokazu AU3 - Sakai, Yuichi 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. TI - Modular Forms and Second Order Ordinary Differential Equations: Applications to Vertex Operator Algebras JF - Letters in Mathematical Physics DO - 10.1007/s11005-012-0602-5 DA - 2012-12-28 UR - https://www.deepdyve.com/lp/springer-journals/modular-forms-and-second-order-ordinary-differential-equations-ZFLa7J0XkX SP - 439 EP - 453 VL - 103 IS - 4 DP - DeepDyve ER -