On differential equations satisfied by modular forms

By Yifan Yang. 2004

50 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/4d5107c134f6df63c5bc12fcab0924ae4d157997

How researchers see this paper

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

In Algebra and Number Theory

1. Wadim Zudilin
2. Heng Huat Chan
3. C. Franc
4. Yoshio Tanigawa
5. Geoffrey Mason
6. Yifan Yang
7. Zhi-Wei Sun
8. Victor J. W. Guo

In Applied Mathematics

1. Heng Huat Chan
2. Wadim Zudilin
3. Yoshio Tanigawa
4. Geoffrey Mason
5. C. Franc
6. Kanan Kumari Ojah
7. Nayandeep Deka Baruah

In Geometry and Topology

1. C. Franc
2. Heng Huat Chan
3. Yoshio Tanigawa
4. Wadim Zudilin
5. Geoffrey Mason
6. Yifan Yang
7. F. Pellarin
8. Siu-Hung Ng

Citations in the corpus

• New analogues of Clausen’s identities arising from the theory of modular forms | NOVA. The University of Newcastle's Digital Repository (2011, methodology): “We then use the method of [23] to verify that this pair of modular function and modular form indeed satisfies the differential equation (2.”
• Hypergeometric series, modular linear differential equations and vector-valued modular forms (2015, background): “7 of (4)[50] claims that this result dates back to the end of the nineteenth century, which is probably a reference to the pioneering work of Poincaré.”