Tirukkannapuram Vijayaraghavan (Tamil: ??????????????? ??????????; 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.
Vijayaraghavan was well versed in Sanskrit and Tamil.
He later moved to the University of Dhaka in protest at Weil's firing from AMU.Vijayaraghavan proved a special case of Herschfeld's theorem on nested radicals: For
a
n
>
0
{\displaystyle a_{n}>0}
a
1
+
a
2
+
a
3
+
a
4
+
?
{\displaystyle {\sqrt {a_{1}+{\sqrt {a_{2}+{\sqrt {a_{3}+{\sqrt {a_{4}+\cdots }}}}}}}}}
converges if and only if
lim
¯
(
log
?
a
n
)
/
2
n
<
+
8
,
{\displaystyle {\overline {\lim }}(\log a_{n})/2^{n}<+\infty ,}
where
lim
¯
{\displaystyle {\overline {\lim }}}
denotes the limit superior.