VECTOR-VALUED MODULAR FORMS AND LINEAR DIFFERENTIAL OPERATORS

By Geoffrey Mason. 2007

65 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8219e05fd6342bc52ff6883527e3c0aa72d3f0c3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. F. Pellarin
2. C. Franc
3. Geoffrey Mason
4. Siu-Hung Ng
5. Bruno Anglès

In Mathematical Physics

1. F. Pellarin
2. C. Franc
3. Geoffrey Mason
4. Siu-Hung Ng

Citations in the corpus

• Hypergeometric series, modular linear differential equations and vector-valued modular forms (2015, background): “3 of [34] shows that a vvmf F of weight k satisfies the differential equation W (F ) = cη for a constant c if, and only if, the components of F form a fundamental system of solutions of an MLDE of weight k (see Definition 11 below).”
• Values of certain L-series in positive characteristic (2011, methodology): “The following definition is a simple adaptation of the notion of vectorial modular form for SL2(Z) investigated in works by Knopp and Mason such as [13, 15], the most relevant for us.”