Hoon Balakram

Hoon Balakram
Hoon Balakram
Born	1876; Jalandhar
Died	1929
Nationality	Indian
	Scientific career
Fields	Mathematics

Hoon Balakram (1876–1929)^[1] was an Indian mathematician, civil servant and Bombay High Court judge.

Biography[]

Balakram was born in Jalandhar, Punjab in 1876. He received his master's degree from Panjab University and later passed the Mathematical Tripos from the St John's College, Cambridge.^[1]

In 1899 he passed the 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.^[1] He also served as the president of Indian Mathematical Society from 1921 to 26.^[2]

Mathematical achievements[]

Balakram proved in 1929^[1] that the expression ${(2n)! \over (n+1)!(n+1)!}$ is an integer for infinitely many values of $n.$ He further showed that the expression is an integer for only eight values of $n\leq 100$ , namely, 5, 14, 27, 41, 44, 65, 76, and 90.

References[]

^ ^a ^b ^c ^d Thomas Koshy Professor of Mathematics Framingham State College (15 November 2008). Catalan Numbers with Applications. Oxford University Press. pp. 69–. ISBN 978-0-19-971519-0. Retrieved 18 July 2013.
^ "The Succession List of the Office-Bearers of The Succession List of the Office-Bearers of The Indian Mathematical Society". Indian Mathematical Society.

[College2008-1] Thomas Koshy Professor of Mathematics Framingham State College (15 November 2008). Catalan Numbers with Applications. Oxford University Press. pp. 69–. ISBN 978-0-19-971519-0. Retrieved 18 July 2013.

[2] "The Succession List of the Office-Bearers of The Succession List of the Office-Bearers of The Indian Mathematical Society". Indian Mathematical Society.

[1]

[2]

Hoon Balakram
Born	1876 Jalandhar
Died	1929
Nationality	Indian
Scientific career
Fields	Mathematics