| Thirukannapuram Vijayaraghavan | |
| Birth Date: | 1902 11, df=y |
| Occupation: | mathematician |
Tirukkannapuram Vijayaraghavan (Tamil: திருக்கண்ணபுரம் விஜயராகவன்; 30 November 1902 – 20 April 1955) was an Indian mathematician from the Madras region. He worked with G. H. Hardy when he went to Oxford in mid-1920s on Pisot–Vijayaraghavan numbers. He was a fellow of Indian Academy of Sciences elected in the year 1934. His father was a pandit.
Vijayaraghavan was well versed in Sanskrit and Tamil. He was a close friend of André Weil. Weil hired him in 1930 despite his lack of diploma, and they served together in Aligarh Muslim University.[1] While Weil was away in Europe, Ross Masood planned to replace Weil's professorship with Vijayaraghavan, but Vijayaraghavan quit in protest and moved to the University of Dhaka.[2]
Vijayaraghavan proved a special case of Herschfeld's theorem on nested radicals:[3] For
an>0
\sqrt{a1+\sqrt{a2+\sqrt{a3+\sqrt{a4+ … }}}}
\overline{\lim}(log
| n | |
| a | |
| n)/2 |
<+infty,
\overline{\lim}