Chidambaram Padmanabhan Ramanujam (9 January1938 in Madras, India – 27 October1974 in Bangalore, India) was an Indian mathematician who worked on number theory and algebraic geometry. His last name is sometimes misspelt as "Ramanujan". January 9 is the 9th day of the year in the Gregorian calendar. ... 1938 (MCMXXXVIII) was a common year starting on Saturday (link will take you to calendar). ... Madras refers to: the Indian city of Chennai, formerly known as Madras, the former Indian state, now known as Tamil Nadu (Plural of Madra): Ancient people of Iranian affinites, who lived in northwest Panjab in the Uttarapatha division of ancient India. ... October 27 is the 300th day of the year (301st in leap years) in the Gregorian Calendar, with 65 days remaining. ... 1974 (MCMLXXIV) was a common year starting on Tuesday. ... Bangalore (Kannada: ; in Kannada and // in English) is the capital of the Indian state of Karnataka. ... To meet Wikipedias quality standards, this article or section may require cleanup. ... Algebraic geometry is a branch of mathematics which, as the name suggests, combines abstract algebra, especially commutative algebra, with geometry. ...
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References
O'Connor, John J., and Edmund F. Robertson. "C. P. Ramanujam". MacTutor History of Mathematics archive.
K. G. Ramanathan C. P. Ramanujam, A tribute, Collected Publications of C. P. Ramanujam and Papers in his memory, Tata Institute of Fundamental Research, Studies in Mathematics 8, ISBN 0-387-08770-2. Springer-Verlag, Berlin-New York, 1978. ISBN 3-540-08770-2
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The Hasse-Minkowski theorem states that the local-global principle holds for quadratic forms over the rational numbers (which is Minkowski's result); and more generally over any number field (as proved by Hasse), when one uses all the appropriate local field necessary conditions.
The 'large number of variables' results depend on the Hardy-Littlewood circle method, which was extended to all number fields by C.
According to an idea of Manin, the obstructions to the Hasse principle holding for cubic forms can be tied into the theory of the Brauer group; it is only recently that it has been shown that this setting isn't the complete story (Alexei Skorobogatov, 1999).
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