|
|
| Line 1: |
Line 1: |
| {{Infobox scientist
| | I'm Zella and was born on 5 October 1985. My hobbies are Table tennis and Cricket.<br><br>Feel free to visit my homepage Hostgator 1 cent coupon ([http://iaco.ajou.ac.kr/board_IHKF36/763832 iaco.ajou.ac.kr]) |
| |name = Subbayya Sivasankaranarayana Pillai
| |
| |image = S.S. Pillai.jpg
| |
| |image_size =
| |
| |caption =
| |
| |birth_date = April 5, 1901
| |
| |birth_place = [[Nagercoil]], [[Tamil Nadu]]
| |
| |death_date = 31 August 1950
| |
| |death_place = [[Cairo]], [[Egypt]]
| |
| |residence =
| |
| |citizenship =
| |
| |nationality = [[India]]n
| |
| |ethnicity =
| |
| |field = [[Mathematics]]
| |
| |work_institutions =
| |
| |alma_mater =
| |
| |doctoral_advisor =
| |
| |doctoral_students =
| |
| |known_for = [[Pillai's conjecture]] <br> [[Pillai's arithmetical function]] <br> [[Pillai prime]]
| |
| |author_abbrev_bot =
| |
| |author_abbrev_zoo =
| |
| |influences =
| |
| |influenced =
| |
| |prizes =
| |
| |religion =
| |
| |footnotes =
| |
| |signature =
| |
| }}
| |
| | |
| '''Subbayya Sivasankaranarayana Pillai''' (1901–1950) was an [[Nagercoil]] native [[India]]n [[mathematician]] specializing in number theory. His contribution to [[Waring's problem]] was described in 1950 by [[K. S. Chandrasekharan]] as "''almost certainly his best piece of work and one of the very best achievements in Indian Mathematics since [[Srinivasa Ramanujan|Ramanujan]]''".<ref name="The Hindu">{{cite web|title=An outstanding mathematician|url=http://thehindujobs.com/thehindu/2001/05/10/stories/08100007.htm|accessdate=14 July 2013|publisher=[[The Hindu]]}}</ref>
| |
| | |
| ==Biography==
| |
| 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 in his last year at school.<ref name="The Hindu" />
| |
| | |
| Pillai did his Intermediate course in the [[Scott Christian College]] at [[Nagercoil]]<ref name="The Hindu" /> and managed to earn a B.A. degree from [[University College Trivandrum|Maharaja's college, Trivandrum]].<ref name="Dasgupta2011">{{cite book|author=Uma Dasgupta|title=Science and Modern India: An Institutional History, C. 1784-1947|url=http://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–}}</ref>
| |
| | |
| 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]].<ref name="Dasgupta2011" /> 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]]).<ref name="Narasimhan">[[Raghavan Narasimhan]] The coming of age of mathematics in India, in Michael Atiyah u.a. Miscellanea Mathematica, Springer Verlag 1991, S. 250f</ref>
| |
| | |
| 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 in an air crash in Cairo on the way to the conference.<ref name="Alladi2013">{{cite book|author=Krishnaswami Alladi|title=Ramanujan's Place in the World of Mathematics: Essays Providing a Comparative Study|url=http://books.google.com/books?id=XLNJDylP53QC&pg=PA42|accessdate=14 July 2013|year=2013|publisher=Springer|isbn=978-81-322-0767-2|pages=42–}}</ref>
| |
| | |
| ==Contributions==
| |
| He proved the [[Waring's problem]] for <math>k\ge 6</math> in 1935<ref name="Thangadurai">{{cite web|title=S. S. Pillai|url=http://www.webcitation.org/query?url=http://www.geocities.com/thangadurai_kr/PILLAI.html&date=2009-10-25+22:48:56}}</ref> under the further condition of <math>(3^k + 1)/(2^k - 1)\le [1.5^k] + 1</math> ahead of [[Leonard Eugene Dickson]] who around the same time proved it for <math>k\ge 7.</math><ref>{{cite book|title=Number Theory|url=http://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–}}</ref>
| |
| | |
| He showed that <math>g(k) = 2^k + l - 2</math> where <math>l</math> is the largest natural number <math>\le (3/2)^k</math> and hence computed the precise value of <math>g(6) = 73</math>.<ref name="Thangadurai" />
| |
| | |
| ==References==
| |
| {{Reflist}}
| |
| | |
| {{Authority control|GND=1030448604|LCCN=n2010210672|VIAF=170906461}}
| |
| | |
| {{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
| |
| | NAME = Pillai, Subbayya Sivasankaranarayana
| |
| | ALTERNATIVE NAMES = S.S Pillai
| |
| | SHORT DESCRIPTION = Indian mathematician
| |
| | DATE OF BIRTH = April 5, 1901
| |
| | PLACE OF BIRTH = [[Vallam]], [[Tamil Nadu]]
| |
| | DATE OF DEATH = 31 August 1950
| |
| | PLACE OF DEATH = [[Cairo]], [[Egypt]]
| |
| }}
| |
| {{DEFAULTSORT:Pillai, Subbayya Sivasankaranarayana}}
| |
| [[Category:1901 births]]
| |
| [[Category:1950 deaths]]
| |
| [[Category:Indian Hindus]]
| |
| [[Category:Indian mathematicians]]
| |
| [[Category:20th-century mathematicians]]
| |
| [[Category:Number theorists]]
| |
| [[Category:Tamil people]]
| |
| [[Category:University of Calcutta faculty]]
| |
| [[Category:Institute for Advanced Study visiting scholars]]
| |
| [[Category:University of Madras faculty]]
| |
| [[Category:Annamalai University faculty]]
| |
I'm Zella and was born on 5 October 1985. My hobbies are Table tennis and Cricket.
Feel free to visit my homepage Hostgator 1 cent coupon (iaco.ajou.ac.kr)