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, structure, space, models, and change. History On ...
from
Kerala Kerala ( ; ) is a 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 regions of Cochin, Malabar, South ...
, India. He specialised in the
theory of numbers Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathe ...
, his forte was the theory of arithmetic functions. Known to his friends as CSV, Venkataraman was born at
Chelakkara Chelakkara is a small town in Thrissur district of Kerala. Geography Chelakkara is located at . It has an average elevation of . Politics Chelakkara assembly constituency (SC) is part of Alathur (Lok Sabha constituency), Alathur. It is also th ...
, a small village in Thrissur District, India, on 14 September 1918 as the son of late C V Subbarama Iyer, who was also a professor of mathematics at the
University College, Trivandrum University College, Thiruvananthapuram (UCT) is a constituent college of the University of Kerala, based primarily in Thiruvananthapuram, the capital of the Indian state of Kerala. The college was awarded 23rd rank by National Institutional Ran ...
, for a long time and later as the principal in 1951. After his early education in his native village and in
Trivandrum Thiruvananthapuram (; ), also known by its former name Trivandrum (), is the capital of the Indian state of Kerala. It is the most populous city in Kerala with a population of 957,730 as of 2011. The encompassing urban agglomeration populati ...
, he had his higher education 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 the eminent
K. Ananda Rau K. Ananda Rau (21 September 1893 – 22 January 1966) was an eminent Indian mathematician and a contemporary of Ramanujan. Though Rau was six years junior to Ramanujan, his mathematical trajectory, unlike Ramanujan's, was very much a conventi ...
, who was a contemporary and a friend of Ramanujan and a student of
Hardy Hardy may refer to: People * Hardy (surname) * Hardy (given name) * Hardy (singer), American singer-songwriter Places Antarctica * Mount Hardy, Enderby Land * Hardy Cove, Greenwich Island * Hardy Rocks, Biscoe Islands Australia * Hardy, Sout ...
at
University of Cambridge , mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Schola ...
. Naturally, CSV got the inspiration to become a mathematician from his great professor, Ananda Rau, and also, he got an opportunity to get introduced to another mathematical genius
R. Vaidyanathaswamy Ramaswamy S. Vaidyanathaswamy (1894–1960) was an Indian mathematician who wrote the first textbook of point-set topology in India. Life He was born in India on 24 October 1894. Vaidyanathaswamy studied Mathematics at the University of Edinbu ...
, who had already established himself at the
University of Madras The University of Madras (informally known as Madras University) is a public university, public State university (India), state university in Chennai, Tamil Nadu, India. Established in 1857, it is one of the oldest and among the most prestigiou ...
in the 1930s and had set up a tradition and an academic atmosphere that gave
Madras Chennai (, ), formerly known as Madras ( the official name until 1996), is the capital city of Tamil Nadu, the southernmost Indian state. The largest city of the state in area and population, Chennai is located on the Coromandel Coast of th ...
international recognition in the field of mathematics. CSV was selected as a research scholar in the Department of Mathematics of Madras University to do research in Theory of
Arithmetic function In number theory, an arithmetic, arithmetical, or number-theoretic function is for most authors any function ''f''(''n'') whose domain is the positive integers and whose range is a subset of the complex numbers. Hardy & Wright include in their d ...
under the guidance of R Vaidyanathaswamy. In fact, there he was in the eminent company of senior research scholars like
P Kesava Menon Puliyakot Keshava Menon (1917 – 22 October 1979) was an Indian mathematician best known as Director of the Joint Cipher Bureau. His sudden demise on 22 October 1979, ended active research in the areas of number theory, combinatorics, alg ...
and K G Ramanathan and the theory of
multiplicative function In number theory, a multiplicative function is an arithmetic function ''f''(''n'') 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 ''f''(''n'') is ...
formed the material for the dissertations of P Kesava Menon and CSV. The theory of arithmetic functions was initiated in the 1930s by E. T. Bell of the
California Institute of Technology The California Institute of Technology (branded as Caltech or CIT)The university itself only spells its short form as "Caltech"; the institution considers other spellings such a"Cal Tech" and "CalTech" incorrect. The institute is also occasional ...
and independently by R Vaidyanathaswamy. CSV expounded the theory in a series of remarkable research papers which soon became a classic and CSV was awarded the Ph.D. degree by the University of Madras in 1952 for his "Contributions to the Theory of Multiplicative Functions". During the work leading to the award of Ph.D. degree, he derived a new identity for multiplicative functions of two variables. Vaidyanathaswami's identity for multiplicative functions which appeared in
Transactions of the American Mathematical Society The ''Transactions of the American Mathematical Society'' is a monthly peer-reviewed scientific journal of mathematics published by the American Mathematical Society. It was established in 1900. As a requirement, all articles must be more than 15 p ...
in 1931 could be deduced from that of CSV's. In view of his contributions to the theory of numbers, CSV was nominated for a visiting professorship at the
University of North Carolina The University of North Carolina is the multi-campus public university system for the state of North Carolina. Overseeing the state's 16 public universities and the NC School of Science and Mathematics, it is commonly referred to as the UNC Sy ...
, Durham, NC, US. This was for 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 learned of CSV's research interest. Though CSV wanted to continue with full-time research, s sudden turn of events in his family circumstances forced him to be near his home town and hence 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 four ...
. After spending a brief time there, he joined the Sree Kerala Varma College, Thrissur, in 1947, where he remained as a professor till retirement. The college he chose to serve had no pretensions of being in the elite league of colleges in Kerala, and it was usually dubbed as a ''common man's college''. Because of his passion for research and teaching, CSV also did not accept the post of the principal of the college, a position which was offered to him at a very young age. Due to CSV's active interest in research, the Department of Mathematics of Sree Kerala Varma College was recognized as a research centre for mathematics by the
University of Kerala University of Kerala, formerly the University of Travancore, is a state-run public university located in Thiruvananthapuram, the state capital of Kerala, India. It was established in 1937 by a promulgation of the Maharajah of Travancore, Chit ...
in 1961. A.C. Vasu and R. Sivaramakrishnan were his doctoral students. He was a member of
Indian Mathematical Society 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. Ramaswami Aiyar with its headquarters at Pune. The Society started i ...
since 1945. Mathematicians all over India knew CSV, and it was CSV who for a long time represented Kerala at conferences and meetings. On account of his professional and academic achievements, his name finds, justifiably, a place 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 non-governmental 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 ...
. He was a towering personality in the realm of higher mathematics in Kerala for more than three decades. Kerala has produced some world-class number theorists, among whom CSV occupies a pride of place along with his predecessors Sivasankarnarayana Pillai (whom Hardy described as Ramanujan's worthy successor) and P Kesava Menon.
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. Shankaranarayan ...
has instituted an annual endowment lecture in his honour. Tall, well–dressed, and with keen, searching eyes, CSV had a magnetic personality with his fair complexion and handsome appearance and was called "Lord Mountbatten" by the colleagues and students in his heyday. CSV died on 16 March 1994.


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