Tirukkannapuram Vijayaraghavan

Tirukkannapuram Vijayaraghavan (Tamil: திருகண்ணபுரம் விஜயராகவன் 30 November 1902 - 20 April 1955) was an Indian mathematician from 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, the only son of famous upanyasaka tirukkannapuram Pattappa Swamy. Pattappa Swamy, to this day, is considered to be one of the most important personalities in sri vaishnavam or ramanuja sampradayam in the 20th century. Vijayaraghavan was a close friend of André Weil. He served with him in Aligarh Muslim University. He later shifted to University of Dhaka, protesting Weil's firing from AMU.^[1]

Vijayaraghavan proved a special case of Herschfeld's theorem on nested radicals:^[2]

$\sqrt{a_1 %2B \sqrt{a_2 %2B \sqrt{a_3 %2B \sqrt{a_4 %2B \cdots}}}}$

converges if and only if

$\overline{\lim} (\log a_n)/2^n < %2B\infty.$

Notes

^ M.S. Raghunathan, Artless innocents and ivory-tower sophisticates: Some personalities on the Indian mathematical scene.
^ 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.

External links

Tirukkannapuram Vijayaraghavan at the Mathematics Genealogy Project.

Persondata
Name	Vijayaraghavan, Tirukkannapuram
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Date of birth	30 November 1902
Place of birth
Date of death	20 April 1955
Place of death