Ramanujan's Class Invariant λn and a New Class of Series for 1/π

By Heng Huat Chan, Wen-Chin Liaw, Victor Tan. 2001

61 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/55cff7bcebd1fe3c4fa9ac51e39577ca7a0cfcde

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. Heng Huat Chan
2. Matti Vuorinen
3. Ville Heikkala
4. Mavina Vamanamurthy
5. Zhi-Guo Liu
6. Song Heng Chan
7. Wadim Zudilin
8. Zhi-Wei Sun

In Discrete Mathematics and Combinatorics

1. Heng Huat Chan
2. Ville Heikkala
3. Matti Vuorinen
4. Mavina Vamanamurthy
5. Wadim Zudilin
6. Zhi-Wei Sun
7. Shaun Cooper

Citations in the corpus

• Domb's numbers and Ramanujan–Sato type series for 1/π (2004, background): “Tan added a total of six such series [8] associated essentially to the third type of series in Table 1.”
• Eisenstein series and Ramanujan-type series for 1/π (2010, unknown): “Cambridge University Press, Cambridge (1940); reprinted by Chelsea, New York (1960); reprinted by the American Mathematical Society, Providence (1999) 35.”
• Generalized Elliptic Integrals (2007, methodology): “es stated by Ramanujan in his unpublished notebooks. These identities involve r and s from (1.2). After the publication of [BBG] many papers have appeared on modular equations, see e.g. [AQVV], [Be], [CLT], [Q], and [S]. To rewrite (1.2) in a slightly shorter form, we use the decreasing homeomorphis”