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2014-02-01T08:46:51Z

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{{Infobox scientist
|name = Hoon Balakram
|image =
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|birth_date = 1876
|birth_place = [[Jalandhar]]
|death_date = 1929
|death_place =
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|citizenship =
|nationality = [[India]]n
|ethnicity =
|field = [[Mathematics]]
|work_institutions =
|alma_mater =
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'''Hoon Balakram''' (1876–1929)<ref name="College2008">{{cite book|author=Thomas Koshy Professor of Mathematics Framingham State College|title=Catalan Numbers with Applications|url=http://books.google.com/books?id=MqPLSivdBDAC&pg=PA69|accessdate=18 July 2013|date=15 November 2008|publisher=Oxford University Press|isbn=978-0-19-971519-0|pages=69–}}</ref> was an [[India]]n mathematician, civil servant and [[Bombay High Court]] judge.

==Biography==
Balakram was born in [[Jalandhar]], [[Punjab region|Punjab]] in 1876. He received his master's degree from [[Panjab University, Chandigarh]] and later passed the [[Cambridge Mathematical Tripos|Mathematical Tripos]] from the [[St John's College, Cambridge]].<ref name="College2008" />

In 1899 he passed the [[Civil Services of India|Indian Civil Service]] examination. Among other posts in his career he was appointed a [[Bombay High Court]] judge in 1929 a month before his death.<ref name="College2008" /> He also served as the president of [[Indian Mathematical Society]] from 1921 to 26.<ref>{{cite web|title=The Succession List of the Office-Bearers of The Succession List of the Office-Bearers of The Indian Mathematical Society|url=http://www.indianmathsociety.org.in/|publisher=[[Indian Mathematical Society]]}}</ref>

==Mathematical achievements==
Balakram proved in 1929<ref name="College2008" /> that the expression <math>{(2n)! \over (n+1)! (n+1)!}</math> is an integer for infinitely many values of <math>n.</math> He further showed that the expression is an integer for only eight values of <math>n\le 100</math>, namely, {{num|5}}, {{num|14}}, {{num|27}}, {{num|41}}, {{num|44}}, {{num|65}}, {{num|76}}, and {{num|90}}.

==References==
{{Reflist}}

{{Persondata 
| NAME = Balakram, Hoon
| ALTERNATIVE NAMES =
| SHORT DESCRIPTION = Indian mathematician
| DATE OF BIRTH = 1876
| PLACE OF BIRTH = [[Jalandhar]]
| DATE OF DEATH = 1929
| PLACE OF DEATH =
}}
{{DEFAULTSORT:Balakram, Hoon}}
[[Category:1876 births]]
[[Category:1929 deaths]]
[[Category:Indian mathematicians]]
[[Category:Indian civil servants]]
[[Category:Indian judges]]
[[Category:Number theorists]]
[[Category:Panjab University alumni]]
[[Category:Alumni of St John's College, Cambridge]]
[[Category:Presidents of the Indian Mathematical Society]]

Integral closure of an ideal - Revision history

en>Ulric1313: dab