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
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)
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.
Using certain representations for Eisenstein series, we uniformly derive several Ramanujan-type series for 1/π.
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.
1. Introduction. In problems he submitted to the Journal of the In-dian Mathematical Society , in his notebooks , and in his lost notebook , Ramanujan established many intriguing equalities between radicals. In particular, in his extensive calculations of more than 100 class in-variants, he frequently needed to establish difficult radical… (More)
To Haakon Waadeland on his 70th birthday