C S Venkitaraman
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C. S. Venkataraman (14 September 1918 – 16 March 1994), popularly known as CSV, was a
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
from
Kerala Kerala ( , ) is a States and union territories of India, state on the Malabar Coast of India. It was formed on 1 November 1956, following the passage of the States Reorganisation Act, by combining Malayalam-speaking regions of the erstwhile ...
, India. He specialized in
number theory Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example ...
, in particular the theory of
arithmetic function In number theory, an arithmetic, arithmetical, or number-theoretic function is generally any function whose domain is the set of positive integers and whose range is a subset of the complex numbers. Hardy & Wright include in their definition th ...
s. Known to his friends as CSV, Venkataraman was born at
Chelakkara Chelakkara is a large town in the Thrissur district of Kerala. Geography Chelakkara is located at . It has an average elevation of . Politics Chelakkara assembly constituency (SC) is part of Alathur. It is also the constituency of ex- Spea ...
, a small village in
Thrissur District Thrissur (), anglicised as Trichur, is one of the List of districts of Kerala, 14 districts in the States and union territories of India, Indian state of Kerala. It is situated in the central region of the state. Spanning an area of about , th ...
, India, on 14 September 1918. He was the son of C. V. Subbarama Iyer, who was a professor of mathematics and later principal at the
University College, Trivandrum University College, Thiruvananthapuram, often abbreviated as UCT, is a public college situated in Palayam, Thiruvananthapuram, India. Established in 1866, it is one of the oldest colleges in Kerala. The college has been accorded "College with Pot ...
. He died on 16 March 1994. After his early education in his native village and in
Trivandrum Thiruvananthapuram ( ), also known as Trivandrum, is the capital city of the Indian state of Kerala. As of 2011, the Thiruvananthapuram Municipal Corporation had a population of 957,730 over an area of 214.86 sq. km, making it the largest and ...
, he attended university at the
Presidency College, Chennai Presidency College is an art, commerce, and science college in the city of Chennai in Tamil Nadu, India. On 16 October 1840, this school was established as the Madras Preparatory School before being repurposed as a high school, and then a gra ...
, where he had the opportunity of studying under K. Ananda Rau, who was a contemporary and friend of
Srinivasa Ramanujan Srinivasa Ramanujan Aiyangar (22 December 188726 April 1920) was an Indian mathematician. Often regarded as one of the greatest mathematicians of all time, though he had almost no formal training in pure mathematics, he made substantial con ...
and a student of
G. H. Hardy Godfrey Harold Hardy (7 February 1877 – 1 December 1947) was an English mathematician, known for his achievements in number theory and mathematical analysis. In biology, he is known for the Hardy–Weinberg principle, a basic principle of pop ...
at the
University of Cambridge The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209, the University of Cambridge is the List of oldest universities in continuous operation, wo ...
. Venkataraman was inspired to become a mathematician by Ananda Rau. He was also at this time introduced to mathematician R. Vaidyanathaswamy, who had already established himself at the
University of Madras The University of Madras is a public university, public State university (India), state university in Chennai (Madras), Tamil Nadu, India. Established in 1857, it is one of the oldest and most prominent universities in India, incorporated by an ...
in the 1930s and had set up a tradition and an academic atmosphere that gave
Madras Chennai, also known as Madras ( its official name until 1996), is the capital and largest city of Tamil Nadu, the southernmost state of India. It is located on the Coromandel Coast of the Bay of Bengal. According to the 2011 Indian ce ...
international recognition in the field of mathematics. Venkataraman was selected as a research scholar at the University of Madras to do research in the theory of
arithmetic function In number theory, an arithmetic, arithmetical, or number-theoretic function is generally any function whose domain is the set of positive integers and whose range is a subset of the complex numbers. Hardy & Wright include in their definition th ...
s under the guidance of Vaidyanathaswamy. There, he found himself in the company of senior research scholars like P. Kesava Menon and K. G. Ramanathan. The burgeoning theory of
multiplicative function In number theory, a multiplicative function is an arithmetic function f of a positive integer n with the property that f(1)=1 and f(ab) = f(a)f(b) whenever a and b are coprime. An arithmetic function is said to be completely multiplicative (o ...
s formed the material for the dissertations of Venkataraman and Kesava Menon. The theory of arithmetic functions had been initiated in the 1930s by E. T. Bell of the
California Institute of Technology The California Institute of Technology (branded as Caltech) is a private research university in Pasadena, California, United States. The university is responsible for many modern scientific advancements and is among a small group of institutes ...
and independently by Vaidyanathaswamy. Venkataraman expounded the theory in a series of well-regarded research papers, and was awarded a Ph.D. by the University of Madras in 1952 for "Contributions to the Theory of Multiplicative Functions". In this work, he had derived a new identity for multiplicative functions of two variables—his novel identity included Vaidyanathaswamy's identity as a consequence. In view of his contributions to number theory, Venkataraman was nominated for a visiting professorship at the
University of North Carolina The University of North Carolina is the Public university, public university system for the state of North Carolina. Overseeing the state's 16 public universities and the North Carolina School of Science and Mathematics, it is commonly referre ...
in order to set up a possible collaboration with
Leonard Carlitz Leonard Carlitz (December 26, 1907 – September 17, 1999) was an American mathematician. Carlitz supervised 44 doctorates at Duke University and published over 770 papers. Chronology * 1907 Born Philadelphia, PA, USA * 1927 BA, University ...
, who had learned of Venkataraman's research interests. Though Venkataraman wanted to continue with full-time research, familial circumstances forced him to remain near his hometown and so he accepted an offer of a lectureship at
Union Christian College, Aluva Union Christian College, Aluva (known as UC College) is a college affiliated to Mahatma Gandhi University, Kottayam. It is one of the earliest colleges in India to be established and managed by Indian Christians. It was founded in 1921 by fou ...
. After spending a brief time there, he joined
Sree Kerala Varma College Sree Kerala Varma College is a government-aided higher education institution located in Kanattukara, Thrissur, Kerala, India. Established in 1947, the college was founded by Aikya Keralam Thampuran, the Maharaja of the former Kingdom of Cochi ...
, Thrissur, in 1947, where he remained as a professor until retirement. Sree Kerala Varma College was not considered among the elite league of colleges in Kerala, and was referred to as a "common man's college". Because of his passion for research and teaching, Venkataraman also did not accept the post of the principal despite its having been offered to him at a very young age. Furthermore, due to Venkataraman's active interest in research, the Department of Mathematics of Sree Kerala Varma College was recognized as a research center for mathematics by the
University of Kerala University of Kerala (formerly known as University of Travancore) is a state-run public university in Thiruvananthapuram, the state capital of Kerala, India. It was established in 1937 by a promulgation of the Maharajah of Travancore, Chithi ...
in 1961. A.C. Vasu and R. Sivaramakrishnan were his doctoral students. Venkataraman was a member of the
Indian Mathematical Society The Indian Mathematical Society (IMS) is the oldest organization in India devoted to the promotion of study and research in mathematics. The Society was founded in April 1907 by V. Ramaswamy Aiyer with its headquarters at Pune. The Society start ...
since 1945—he was a towering figure in higher mathematics in Kerala for more than three decades, was well known by mathematicians across India, and often represented Kerala at conferences and meetings. He appeared in the '' World Directory of Mathematicians,'' published in 1986 under the auspices of the
International Mathematical Union The International Mathematical Union (IMU) is an international organization devoted to international cooperation in the field of mathematics across the world. It is a member of the International Science Council (ISC) and supports the International ...
. Venkataraman has often been regarded as one in a line of world-class number theorists to come from Kerala, among them his predecessors S. S. Pillai (who Hardy described as Ramanujan's worthy successor) and Kesava Menon. The
Ramanujan Mathematical Society Ramanujan Mathematical Society is an Indian organisation of persons formed with the aim of "promoting mathematics at all levels". The Society was founded in 1985 and registered in Tiruchirappalli, Tamil Nadu, India. Professor G. Shankaranaraya ...
has instituted an annual endowment lecture in his honor.


References


External links


The Indian Mathematical Society
{{DEFAULTSORT:Venkataraman, C. S. 20th-century Indian mathematicians Malayali people 1918 births 1994 deaths People from Thrissur district Scientists from Kerala