朴素
发表于 2025-3-23 10:35:28
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最小
发表于 2025-3-23 16:42:47
o prove it. Not only are the results fascinating, but, for the most part, Ramanujan‘s methods remaina mystery. Much work still needs to be done. We hope readers will strive to discover Ramanujan‘s thoughts and further develop his beautiful ideas.978-1-4612-8865-7978-1-4612-4530-8
bile648
发表于 2025-3-23 21:05:00
Infinite Series,l results in Chapter 14, as well as many others as well, aries from a general transformation formula for a large class of analytic Eisenstein series. It should be emphasized, however, that Chapter 14 also contains many other types of results.
Anonymous
发表于 2025-3-23 22:31:31
his results were already in the literature, more were not. Almost a decade after Ramanujan‘s death in 1920, G.N. Watson and B.M. Wilson began to edit his notebooks but never completed the task. A photostat edition, with no editing, was published by the Tata Institute of Fundamental Research in Bomba
背书
发表于 2025-3-24 03:30:20
Hypergeometric Series, I,rresponds to Chapter 10 of the second notebook, is connected primarily with hypergeometric series. It should be emphasized that Hardy gave only a brief survey of Chapter 12; this chapter contains many interesting results not mentioned by Hardy, and Chapter 10 of the second notebook possesses materia
Console
发表于 2025-3-24 10:13:34
Continued Fractions,ely; I had never seen anything in the least like them before. A single look at them is enough to show that they could only be written down by a mathematician of the highest class. They must be true because, if they were not true, no one would have had the imagination to invent them.” These comments
fetter
发表于 2025-3-24 12:07:47
Integrals and Asymptotic Expansions,sive.” Later he added that Ramanujan’s definite integral formulae “are still interesting and will repay a careful analysis” . Indeed, a dismissal of Ramanujan’s contributions to intergration would have beed decidedly premature. First, we might recall that this first letter contained sever
身心疲惫
发表于 2025-3-24 17:32:15
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Antarctic
发表于 2025-3-24 19:39:36
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BROTH
发表于 2025-3-25 01:06:22
Book 1989s were already in the literature, more were not. Almost a decade after Ramanujan‘s death in 1920, G.N. Watson and B.M. Wilson began to edit his notebooks but never completed the task. A photostat edition, with no editing, was published by the Tata Institute of Fundamental Research in Bombay in 1957.