Kanakanahalli Ramachandra

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Kanakanahalli Ramachandra (born August 18, 1933 in Mandya ; † January 17, 2011 ) was an Indian mathematician who dealt with number theory .

life and work

K. Ramachandra was thirteen years old when his father died. He had to look for a job and, like his father, worked as a clerk at Minerval Mills. He studied at Central College in Bangalore and then taught at the BMS College of Engineering. In his free time in college he studied number theory, modeled on Srinivasa Ramanujan , which he studied from Godfrey Harold Hardy's book on Ramanujan's work. From 1958 he continued his studies at the Tata Institute of Fundamental Research in Bombay ( Mumbai ) with K. Chandrasekharan and received his doctorate in 1965 with KG Ramanathan at the University of Mumbai. From 1965 until his retirement in 1995 he was at the Tata Institute of Fundamental Research and then until his death in 2011 at the National Institute for Advanced Studies in Bangalore.

In 1970/71 he was at the Institute for Advanced Study in Princeton with Atle Selberg .

In number theory, he was particularly concerned with analytical number theory ( Riemann's zeta function ) and the theory of transcendent numbers (independently of Serge Lang , he proved the Six exponentials theorem ). As a mathematician who influenced him, he valued Ivan Matwejewitsch Vinogradov the highest and was twice in the Soviet Union to conferences in his honor.

In 1978 he founded the Hardy-Ramanujan Journal of the Hardy-Ramanujan Society and was its editor.

From 2007 to 2010 he was President of the Calcutta Mathematical Society. In 1997 he received the Srinivasa Ramanujan Medal.

He has the Erdös number 1, because he published with Paul Erdős when he was his guest in India in 1976.

His students included TN Shorey and R. Balasubramanian .

Fonts

So far not cited in the footnotes.

  • Lectures on transcendental numbers, The Ramanujan Institute Lecture Notes, 1, The Ramanujan Institute, Madras, 1969
  • On the mean-value and omega-theorems for the Riemann zeta-function, Tata Institute of Fundamental Research Lectures on Mathematics and Physics 85, 1995
  • with TN Shorey: On gaps between numbers with a large prime factor, Acta Arithmetica, Volume 24, 1973, pp. 99-111

literature

  • NK Sinha: On the half line: K. Ramachandra , Newsletter of the Ramanujan Mathematical Society, September 2011, Arxiv
  • Michel Waldschmidt : K. Ramachandra , Newsletter of the Ramanujan Mathematical Society, September 2011, pdf
  • Michel Waldschmidt: On Ramachandra's contributions to transcendental number theory , in: The Riemann zeta function and related themes: papers in honor of Professor K. Ramachandra, Ramanujan Math. Soc. Lect. Notes Ser. 2, Mysore: Ramanujan Math. Soc., 2006, pp. 155-179

Web links

  • Biography (hardyramanujan.wordpress), with photos and a link to a detailed biography of Sinha in the newsletter of the Ramanujan Mathematical Society, September 2011

Individual evidence

  1. ↑ Membership Book of the IAS, 1980
  2. ↑ Ramachandra, Contributions to the theory of transcendental numbers, Part 1,2, Acta Arithmetica, Volume 14, 1967/68, pp. 14: 65-72, 73-88
  3. ^ Six exponentials theorem , Mathworld
  4. ↑ P. Erdös, G. Jogesh Babu, K. Ramachandra: An asymptotic formula in additive number theory, Acta Arithmetica, Volume 28, 1976, pp. 405-412
personal data
SURNAME Ramachandra, Kanakanahalli
BRIEF DESCRIPTION Indian mathematician
DATE OF BIRTH August 18, 1933
PLACE OF BIRTH Mandya
DATE OF DEATH January 17, 2011