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Thirukannapuram Vijayaraghavan
Born(1902-11-30)30 November 1902
Died20 April 1955(1955-04-20) (aged 52)
Occupationmathematician

Tirukkannapuram Vijayaraghavan (Tamil: 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 numbers 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. 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‾(log⁡an)/2n<+∞,

where lim‾ denotes the limit superior.

References

  1. ↑ Weil, André; Weil, André (1992). The apprenticeship of a mathematician. Basel Boston Berlin: Birkhäuser. ISBN 978-3-7643-2650-0.
  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.

External links