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- Heng Huat Chan, Wen-Chin Liaw, Bruce C. Berndt, HENG HUAT, WEN-CHIN LIAW
- 2000

In this paper, we derive new Ramanujan-type series for 1/π which belong to " Ramanujan's theory of elliptic functions to alternative base 3 " developed recently

- Nayandeep Deka Baruah, Bruce C. Berndt, Heng Huat Chan
- The American Mathematical Monthly
- 2009

When we pause to reflect on Ramanujan's life, we see that there were certain events that seemingly were necessary in order that Ramanujan and his mathematics be brought to posterity. One of these was V. Ramaswamy Aiyer's founding of the Indian Mathematical Society on 4 April 1907, for had he not launched the Indian Mathematical Society, then the next… (More)

- Bruce C. Berndt, Heng Huat Chan, BRUCE C. BERNDT, HENG HUAT
- 1995

denote the famous Rogers{Ramanujan continued fractions. In both his rst and second letters to Hardy 11, pp. xxvii, xxviii], Ramanujan communicated theorems about R(q) and S(q): In particular, in his rst letter, he asserted that (0.1)

- Bruce C. Berndt, Heng Huat Chan, HENG HUAT
- 1999

A new infinite product t n was introduced by S. Ramanujan on the last page of his third notebook. In this paper, we prove Ramanu-jan's assertions about t n by establishing new connections between the modular j−invariant and Ramanujan's cubic theory of elliptic functions to alternative bases. We also show that for certain integers n, tn generates the Hilbert… (More)

- Bruce C. Berndt, Heng Huat Chan, Song Heng Chan, Wen-Chin Liaw
- J. Comb. Theory, Ser. A
- 2005

- BEAUTIFUL IDENTITY, HEI-CHI CHAN, +6 authors Frank Garvan
- 2008

In this paper, we prove a generalization of Ramanu-jan's " Most Beautiful Identity. " Our generalization is closely related to Ramanujan's beautiful results involving the cubic continued fraction.

- BRUCE C. BERNDT, HENG HUAT CHAN, JAEBUM SOHN, SEUNG HWAN SON
- 2002

Using certain representations for Eisenstein series, we uniformly derive several Ramanujan-type series for 1/π.

- Bruce C. Berndt, Heng Huat Chan, K. Venkatachaliengar, BRUCE C. BERNDT, HENG HUAT CHAN
- 2001

In this paper, we study the divisibility of the function a(n) defined by n≥0 a(n)q n := (q; q) −1 ∞ (q 2 ; q 2) −1 ∞. In particular, we prove certain " Ramanujan type congruences " for a(n) modulo powers of 3.