Tirukkannapuram Vijayaraghavan

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Template:Short description Template:Use Indian English Template:Use dmy dates Template:Infobox person Tirukkannapuram Vijayaraghavan (Template:Langx; 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

a1+a2+a3+a4+

converges if and only if

lim(logan)/2n<+,

where lim denotes the limit superior.

References

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  1. Template:Cite book
  2. M.S. Raghunathan, Artless innocents and ivory-tower sophisticates: Some personalities on the Indian mathematical scene.
  3. 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.