Tirukkannapuram Vijayaraghavan - Revision history

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	{{Short description\|Indian mathematician}}		{{Short description\|Indian mathematician (1902-1955)}}
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	'''Tirukkannapuram Vijayaraghavan''' ({{~~lang-~~ta\|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 number]]s~~. He was a fellow of [[Indian Academy of Sciences]] elected in ~~the year~~ 1934.		'''Tirukkannapuram Vijayaraghavan''' ({{langx\|ta\|திருக்கண்ணபுரம் விஜயராகவன்}}; 30 November 1902 – 20 April 1955) was an Indian mathematician from the [[Madras]] region. He worked with [[G. H. Hardy]] on [[Pisot–Vijayaraghavan number]]s when he went to [[Oxford]] in the mid-1920s. He was a fellow of [[Indian Academy of Sciences]] elected in 1934. His father was a [[pandit]].

	Vijayaraghavan was well versed in Sanskrit and Tamil. He was a close friend of [[André Weil]]. He served ~~with him~~ in [[Aligarh Muslim University]]. ~~He later~~ moved to the [[University of Dhaka]] ~~in protest at Weil's firing from AMU~~.<ref>M.S. Raghunathan, [https://web.archive.org/web/20040104021712/http://www.ias.ac.in/currsci/aug252003/526.pdf Artless innocents and ivory-tower sophisticates: Some personalities on the Indian mathematical scene].</ref>		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]].<ref>{{Cite book \|last=Weil \|first=André \|title=The apprenticeship of a mathematician \|last2=Weil \|first2=André \|date=1992 \|publisher=Birkhäuser \|isbn=978-3-7643-2650-0 \|location=Basel Boston Berlin}}</ref> 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]].<ref>M.S. Raghunathan, [https://web.archive.org/web/20040104021712/http://www.ias.ac.in/currsci/aug252003/526.pdf Artless innocents and ivory-tower sophisticates: Some personalities on the Indian mathematical scene].</ref>

	Vijayaraghavan proved a special case of [[Herschfeld's theorem]] on [[nested radicals]]:<ref>[[Srinivasa Ramanujan\|Ramanujan, S]]. Collected Papers of Srinivasa Ramanujan (Ed. G. H. Hardy, P. V. S. Aiyar, and B. M. Wilson). Providence, RI: American Mathematical Society (2000), p. 348.</ref> For <math>a_n>0</math>		Vijayaraghavan proved a special case of [[Nested_radical#Herschfeld's_convergence_theorem\|Herschfeld's theorem]] on [[nested radicals]]:<ref>[[Srinivasa Ramanujan\|Ramanujan, S]]. Collected Papers of Srinivasa Ramanujan (Ed. G. H. Hardy, P. V. S. Aiyar, and B. M. Wilson). Providence, RI: American Mathematical Society (2000), p. 348.</ref> For <math>a_n>0</math>
	:<math>\sqrt{a_1 + \sqrt{a_2 + \sqrt{a_3 + \sqrt{a_4 + \cdots}}}}</math>		:<math>\sqrt{a_1 + \sqrt{a_2 + \sqrt{a_3 + \sqrt{a_4 + \cdots}}}}</math>
	converges if and only if		converges if and only if
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	{{DEFAULTSORT:Vijayaraghavan, Tirukkannapuram}}		{{DEFAULTSORT:Vijayaraghavan, Tirukkannapuram}}
	[[Category:Aligarh Muslim University ~~faculty~~]]		[[Category:Academic staff of Aligarh Muslim University]]
	[[Category:20th-century Indian mathematicians]]		[[Category:20th-century Indian mathematicians]]
	[[Category:Fellows of the Indian Academy of Sciences]]		[[Category:Fellows of the Indian Academy of Sciences]]
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	[[Category:1955 deaths]]		[[Category:1955 deaths]]
	[[Category:Scientists from Chennai]]		[[Category:Scientists from Chennai]]
			[[Category:Expatriates from British India in the United Kingdom]]


	{{India-mathematician-stub}}		{{India-mathematician-stub}}

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	'''Tirukkannapuram Vijayaraghavan''' ({{lang-ta\|திருக்கண்ணபுரம் விஜயராகவன்}}; 30 November 1902 – 20 April 1955) was an ~~[[India]]n~~ mathematician from the [[Madras]] region. He worked with [[G. H. Hardy]] when he went to [[Oxford]] in mid-1920s on [[Pisot–Vijayaraghavan number]]s. He was a fellow of [[Indian Academy of Sciences]] elected in the year 1934.		'''Tirukkannapuram Vijayaraghavan''' ({{lang-ta\|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 number]]s. He was a fellow of [[Indian Academy of Sciences]] elected in the year 1934.

	Vijayaraghavan was well versed in Sanskrit and Tamil. He was a close friend of [[André Weil]]. He served with him in [[Aligarh Muslim University]]. He later moved to the [[University of Dhaka]] in protest at Weil's firing from AMU.<ref>M.S. Raghunathan, [https://web.archive.org/web/20040104021712/http://www.ias.ac.in/currsci/aug252003/526.pdf Artless innocents and ivory-tower sophisticates: Some personalities on the Indian mathematical scene].</ref>		Vijayaraghavan was well versed in Sanskrit and Tamil. He was a close friend of [[André Weil]]. He served with him in [[Aligarh Muslim University]]. He later moved to the [[University of Dhaka]] in protest at Weil's firing from AMU.<ref>M.S. Raghunathan, [https://web.archive.org/web/20040104021712/http://www.ias.ac.in/currsci/aug252003/526.pdf Artless innocents and ivory-tower sophisticates: Some personalities on the Indian mathematical scene].</ref>

>Simeon: Importing Wikidata short description: "Indian mathematician" (Shortdesc helper)

2021-04-08T17:56:40Z

Importing Wikidata short description: "Indian mathematician" (Shortdesc helper)

New page

{{Short description|Indian mathematician}}
{{Use Indian English|date=December 2015}}
{{Use dmy dates|date=December 2015}}
{{infobox person
|name = Thirukannapuram Vijayaraghavan
|birth_date = {{birth date|df=y|1902|11|30}}
|death_date = {{death date and age|df=y|1955|4|20|1902|11|30}}
|occupation = mathematician
}}
'''Tirukkannapuram Vijayaraghavan''' ({{lang-ta|திருக்கண்ணபுரம் விஜயராகவன்}}; 30 November 1902 – 20 April 1955) was an [[India]]n mathematician from the [[Madras]] region. He worked with [[G. H. Hardy]] when he went to [[Oxford]] in mid-1920s on [[Pisot–Vijayaraghavan number]]s. He was a fellow of [[Indian Academy of Sciences]] elected in the year 1934.

Vijayaraghavan was well versed in Sanskrit and Tamil. He was a close friend of [[André Weil]]. He served with him in [[Aligarh Muslim University]]. He later moved to the [[University of Dhaka]] in protest at Weil's firing from AMU.<ref>M.S. Raghunathan, [https://web.archive.org/web/20040104021712/http://www.ias.ac.in/currsci/aug252003/526.pdf Artless innocents and ivory-tower sophisticates: Some personalities on the Indian mathematical scene].</ref>

Vijayaraghavan proved a special case of [[Herschfeld's theorem]] on [[nested radicals]]:<ref>[[Srinivasa Ramanujan|Ramanujan, S]]. Collected Papers of Srinivasa Ramanujan (Ed. G. H. Hardy, P. V. S. Aiyar, and B. M. Wilson). Providence, RI: American Mathematical Society (2000), p. 348.</ref> For <math>a_n>0</math>
:<math>\sqrt{a_1 + \sqrt{a_2 + \sqrt{a_3 + \sqrt{a_4 + \cdots}}}}</math>
converges if and only if
:<math>\overline{\lim} (\log a_n)/2^n < +\infty,</math>
where <math>\overline{\lim}</math> denotes the [[Limit superior and limit inferior|limit superior]].

==References==
{{Reflist}}

==External links==
* {{MathGenealogy|id=18536}}

{{Authority control}}

{{DEFAULTSORT:Vijayaraghavan, Tirukkannapuram}}
[[Category:Aligarh Muslim University faculty]]
[[Category:20th-century Indian mathematicians]]
[[Category:Fellows of the Indian Academy of Sciences]]
[[Category:1902 births]]
[[Category:1955 deaths]]
[[Category:Scientists from Chennai]]

{{India-mathematician-stub}}