Search results
Results from the WOW.Com Content Network
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 ...
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.
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 ...
The Ramanujan Journal; Ramanujan Math Park; 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 ...
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 )
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 ...
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 ...
Recent work by Bruce C. Berndt and his coauthors argued that Ramanujan knew about the crank, although not in the form that Andrews and Garvan have defined. In a systematic study of the Lost Notebook of Ramanujan, Berndt and his coauthors have given substantial evidence that Ramanujan knew about the dissections of the crank generating function ...