Apery's constant is defined as $$\zeta{(3)}=1.202056\ldots$$, where $$\zeta(x)$$ represents the Euler's zeta function. First lets us define the zeta function. Zeta function is defined as $$\zeta(s)=1+\frac{1}{2^s}+\frac{1}{3^s}+\frac{1}{4^s}+\frac{1}{5^s}+\cdots,$$ where $$s$$ is a complex number. The story of Apery's constant began with the famous Basel problem and Euler's solution...

[caption id="attachment_7170" align="alignright" width="320"]Prof. Ken Ono Prof. Ken Ono (Image Courtesy: OU Math Club)[/caption]

As part of the National Mathematics Day 2014 on 22nd December, Gonit Sora (http://gonitsora.com) in association with Sciensation Media (Pune) and Gyanome.org organised a mini web conference wherein various eminent mathematicians from India and abroad shared their perspectives on mathematics. For Gonit Sora, Manjil Saikia had a conversation with Prof. Ken Ono which we reproduce here verbatim (except for correction of slight mistakes and eliminating speech pauses, etc). The conversation was transcribed by Kritashri Sukanya and Ananya Guha.

Prof. Ken Ono is the Asa Griggs Chandler Professor of Mathematics at Emory Univesity in the USA. He is a well known number theorist and is recognised through out the world for his work related to the mathematics of Ramanujan. He has held numerous positions earlier and also serves on the editorial boards of numerous reputed journals specialising in number theory. Recently his work on mock theta functions was selected by Discover magazine as the second best scientific work of the year (2014).