“Subbayya Sivasankaranarayana Pillai”的意思、由来-开放百科全书

Subbayya Sivasankaranarayana Pillai was born to parents Subbayya Pillai and Gomati Ammal who were natives of Nagercoil. His mother died a year after his birth and his father when Pillai was in his last year at school.^[1]

Pillai did his Intermediate course in the Scott Christian College at Nagercoil^[1] and managed to earn a B.A. degree from Maharaja's college, Trivandrum.^[2]

In 1927, Pillai was awarded a research fellowship at the University of Madras to work among professors K. Ananda Rau and Ramaswamy S. Vaidyanathaswamy. He was from 1929 to 1941 at Annamalai University where he worked as a lecturer. It was in Annamalai University that he did his major work in Waring's problem.^[2] In 1941 he went to the University of Travancore and a year later to the University of Calcutta as a lecturer (where he was at the invitation of Friedrich Wilhelm Levi).^[3]

For his achievements he was invited in August 1950, for a year to visit the Institute for Advanced Study, Princeton, USA. He was also invited to participate in the International Congress of Mathematicians at Harvard University as a delegate of the Madras University but he died during the crash of TWA Flight 903 in Egypt on the way to the conference.^[4]

Contributions

He proved the Waring's problem for

in 1935^[5] under the further condition of

ahead of Leonard Eugene Dickson who around the same time proved it for

^[6]

He showed that

where

is the largest natural number

and hence computed the precise value of

.^[5]

The Pillai sequence 1, 4, 27, 1354, ..., is a quickly-growing integer sequence in which each term is the sum of the previous term and a prime number whose following prime gap is larger than the previous term. It was studied by Pillai in connection with representing numbers as sums of prime numbers.^[7]

References

1. ^¹²{{cite web|title=An outstanding mathematician|url=http://thehindujobs.com/thehindu/2001/05/10/stories/08100007.htm|accessdate=14 July 2013|publisher=The Hindu|deadurl=yes|archiveurl=https://web.archive.org/web/20070928161721/http://thehindujobs.com/thehindu/2001/05/10/stories/08100007.htm|archivedate=28 September 2007|df=}}
2. ^¹{{cite book|author=Uma Dasgupta|title=Science and Modern India: An Institutional History, C. 1784-1947|url=https://books.google.com/books?id=lrx3wLz4itkC&pg=PA702|accessdate=14 July 2013|year=2011|publisher=Pearson Education India|isbn=978-81-317-2818-5|pages=702–}}
3. ^Raghavan Narasimhan The coming of age of mathematics in India, in Michael Atiyah u.a. Miscellanea Mathematica, Springer Verlag 1991, S. 250f
4. ^{{cite book|first=Krishnaswami|last=Alladi|authorlink= Krishnaswami Alladi |title=Ramanujan's Place in the World of Mathematics: Essays Providing a Comparative Study|url=https://books.google.com/books?id=XLNJDylP53QC&pg=PA42|accessdate=14 July 2013|year=2013|publisher=Springer|isbn=978-81-322-0767-2|pages=42–}}
5. ^¹{{cite web |title=S. S. Pillai |url=http://www.geocities.com/thangadurai_kr/PILLAI.html |deadurl=yes |archiveurl=https://www.webcitation.org/5knpdzQoM?url=http://www.geocities.com/thangadurai_kr/PILLAI.html |archivedate=26 October 2009 |df= }}
6. ^{{cite book|title=Number Theory|url=https://books.google.com/books?id=BkBSfFjT1BgC&pg=PA95|accessdate=15 July 2013|year=2003|publisher=Universities Press|isbn=978-81-7371-454-2|pages=95–}}
7. ^{{Cite OEIS|A066352|name=Pillai sequence}}

Biography

Contributions

References