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Srinivasa Ramanujan Aiyangar [a] (22 December 1887 – 26 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 contributions to mathematical analysis, number theory, infinite series, and continued fractions, including solutions to mathematical problems then ...
Hardy almost immediately recognised Ramanujan's extraordinary albeit untutored brilliance, and Hardy and Ramanujan became close collaborators. [6] In an interview by Paul Erdős, when Hardy was asked what his greatest contribution to mathematics was, Hardy unhesitatingly replied that it was the discovery of Ramanujan. [7]
In mathematics, the Hardy–Ramanujan–Littlewood circle method is a technique of analytic number theory. It is named for G. H. Hardy , S. Ramanujan , and J. E. Littlewood , who developed it in a series of papers on Waring's problem .
At the turn of the twentieth century, Srinivasa Ramanujan is a struggling and indigent citizen in the city of Madras in India working at menial jobs at the edge of poverty. . While performing his menial labour, his employers notice that he seems to have exceptional skills in mathematics and they begin to make use of him for rudimentary accounting tas
Ramanujan summation is a technique invented by the mathematician Srinivasa Ramanujan for assigning a value to divergent infinite series.Although the Ramanujan summation of a divergent series is not a sum in the traditional sense, it has properties that make it mathematically useful in the study of divergent infinite series, for which conventional summation is undefined.
Srinivasa Ramanujan. Indian mathematicians have made a number of contributions to mathematics that have significantly influenced scientists and mathematicians in the modern era. One of such works is Hindu numeral system which is predominantly used today and is likely to be used in the future.
The nth Ramanujan prime is the least integer R n for which () (/), for all x ≥ R n. [2] In other words: Ramanujan primes are the least integers R n for which there are at least n primes between x and x/2 for all x ≥ R n. The first five Ramanujan primes are thus 2, 11, 17, 29, and 41.
In mathematics, particularly q-analog theory, the Ramanujan theta function generalizes the form of the Jacobi theta functions, while capturing their general properties. In particular, the Jacobi triple product takes on a particularly elegant form when written in terms of the Ramanujan theta. The function is named after mathematician Srinivasa ...