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Ramanujan's lost notebook is the manuscript in which the Indian mathematician Srinivasa Ramanujan recorded the mathematical discoveries of the last year (1919–1920) of his life. Its whereabouts were unknown to all but a few mathematicians until it was rediscovered by George Andrews in 1976, in a box of effects of G. N. Watson stored at the ...
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 ...
Ramanujan's Lost Notebook: Part V, George E. Andrews, Bruce C. Berndt (Springer, 2018, ISBN 978-3-319-77834-1) Number Theory in the Spirit of Ramanujan by Bruce C. Berndt (American Mathematical Society, 2006, ISBN 0-8218-4178-5 )
The second notebook is a revised enlargement of the first and was probably composed during the nine months that Ramanujan held a scholarship at the University of Madras prior to his departure from England. This notebook contains 21 chapters, comprising 256 pages, followed by 100 pages of miscellaneous material.
Ramanujan–Nagell equation; Ramanujan–Peterssen conjecture; Ramanujan–Soldner constant; Ramanujan summation; Ramanujan theta function; Ramanujan graph; Ramanujan's tau function; Ramanujan's ternary quadratic form; Ramanujan prime; Ramanujan's constant; Ramanujan's lost notebook; Ramanujan's master theorem; Ramanujan's sum; Rogers ...
Ramanujan mentioned four order-3 mock theta functions in his letter to Hardy, and listed a further three in his lost notebook, which were rediscovered by G. N. Watson. [5] The latter proved the relations between them stated by Ramanujan and also found their transformations under elements of the modular group by expressing them as Appell–Lerch ...
In an encore “20/20” airing Dec. 27 at 9 p.m. ET, the show, which originally aired in 2023, tells the story of Julie Jensen, the mother of two who was found dead in her bed in 1998.
Ramanujan Mathematical Society; Ramanujan prime; Ramanujan summation; Ramanujan tau function; Ramanujan theta function; Ramanujan–Nagell equation; Ramanujan–Petersson conjecture; Ramanujan–Sato series; Ramanujan–Soldner constant; Ramanujan's congruences; Ramanujan's lost notebook; Ramanujan's master theorem; Ramanujan's sum; Ramanujan's ...