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T. Vijayaraghavan : ウィキペディア英語版
Tirukkannapuram Vijayaraghavan
Tirukkannapuram Vijayaraghavan ((タミル語:திருக்கண்ணபுரம் 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. He 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.〔M.S. Raghunathan, (Artless innocents and ivory-tower sophisticates: Some personalities on the Indian mathematical scene ).〕
Vijayaraghavan proved a special case of Herschfeld's theorem on nested radicals:〔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.〕 For a_n>0
:\sqrt}
converges if and only if
:\overline (\log a_n)/2^n < +\infty,
where \overline denotes the limit superior.
==References==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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