Certainty
发表于 2025-3-23 12:23:07
Highly Composite Numbers,s it is, is not complete.” Fortunately, the large remaining portion of the paper was not discarded. It was first set into print by Jean-Louis Nicolas and Guy Robin in the first volume of the ., for which they provided useful comments. This chapter contains that formerly unpublished completion of Ramanujan’s paper as well as updated annotations.
咯咯笑
发表于 2025-3-23 16:58:29
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expository
发表于 2025-3-23 21:34:52
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WATER
发表于 2025-3-24 01:30:57
Ranks and Cranks, Part I,o two of the entries from the Lost Notebook presented in this chapter. We follow closely the work of Frank Garvan, who first realized all of the above and who laid the groundwork for the discovery of the crank (which was finally presented by Andrews and Garvan in .).
飞来飞去真休
发表于 2025-3-24 05:23:49
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CHIDE
发表于 2025-3-24 07:16:43
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不自然
发表于 2025-3-24 13:29:50
,Ramanujan’s Unpublished Manuscript on the Partition and Tau Functions,form along with the lost notebook. Late in the twentieth century and early in the twenty-first century, Ramanujan’s ideas stimulated important research by Ken Ono on congruences satisfied by .(.), and this was followed by further work by Scott Ahlgren, Kathrin Bringmann, and others, much of which wa
synovitis
发表于 2025-3-24 18:17:39
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招待
发表于 2025-3-24 19:29:40
Book 2012 highly composite numbers, and sums of powers of theta functions..Reviewfrom the second volume:."Fans of Ramanujan‘s mathematics are sure to be delighted by this book. While some of the content is taken directly from published papers, most chapters contain new material and some previously published
Cognizance
发表于 2025-3-25 01:04:13
George E. Andrews,Bruce C. Berndtart III has also been expanded through the addition of four new appendices. From "asset pricing models" to "risk management," the Encyclopedia of Finance, Second Edition, serves as an essential resource for academics, educators, and students.978-1-4614-5360-4