11 citations · 13 across the 8 of their papers we have counts for
9 papers
An Algebraic Proof of the Non-Modularity of Solutions to the Canonical Modular Differential Equation
Yuichi Sakai, Hiroyuki Tsutsumi
In this paper, we provide an algebraic proof of the condition for the existence of modular form solutions to the Kaneko-Zagier differential equation of weight . Unlike previous…
On modular forms of rational weight satisfying the canonical second-order linear modular differential equation
Yuichi Sakai, Hiroyuki Tsutsumi
In this paper, we completely classify the rational weights for which the Kaneko-Zagier (KZ) differential equation admits a fundamental system of solutions consisting of modular…
Minimal models, modular linear differential equations and modular forms of fractional weights
Kiyokazu Nagatomo, Yuichi Sakai
We show that modular forms of fractional weights on principal congruence subgroups of odd levels, which are found by T. Ibukiyama, naturally appear as characters being multiplied $…
Modular Linear Differential Operators and Generalized Rankin-Cohen Brackets
Kiyokazu Nagatomo, Yuichi Sakai, Don Zagier
The aim in this paper is to give expressions for modular linear differential operators of any order. In particular, we show that they can all be described in terms of Rankin-Cohen…
Vertex Operator Algebras with central charge 8 and 16
Geoffrey Mason, Kiyokazu Nagatomo, Yuichi Sakai
We will partially classify spaces of characters of vertex operator algebras with central charges 8 and 16, such that the spaces of characters is 3-dimensional and the character…
Vertex Operator Algebras with Two Simple Modules - the Mathur-Mukhi-Sen Theorem Revisited
Geoffrey Mason, Kiyokazu Nagatomo, Yuichi Sakai
Let be a strongly regular vertex operator algebra and let be the space spanned by the characters of the irreducible -modules.\ It is known that i…