怪物 发表于 2025-3-23 11:04:34
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Ramanujan: An Estimationty and hardships. Ramanujan’s accomplishments are compared with those of certain mathematical luminaries who in their own way faced tremendous difficulties in life, yet made revolutionary contributions.听写 发表于 2025-3-23 20:50:45
Ramanujan: The Second Centurythematicians of subsequent generations. This article describes how Ramanujan’s results and ideas will continue to influence research in the century following his centenary in areas such as mock theta functions, congruences for partition functions and coefficients of modular forms, .-hypergeometric i生来 发表于 2025-3-24 00:46:02
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P.A. MacMahon: Ramanujan’s Distinguished Contemporaryicance of the Rogers–Ramanujan identities that neither Rogers nor Ramanujan emphasized. This article describes MacMahon’s life as a Major in the British Army stationed in India and later as an assistant to G.H. Hardy of Cambridge University. MacMahon’s mathematical connections with Ramanujan are not步兵 发表于 2025-3-24 06:31:01
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J.J. Sylvester: Ramanujan’s Illustrious Predecessor the subject, and J.J. Sylvester, who in the latter part of the nineteenth century, systematically improved Euler’s results on partitions by a combinatorial approach. After describing the unusual life of Sylvester first at Cambridge University, England and later at Johns Hopkins University, USA, thedura-mater 发表于 2025-3-24 14:57:17
Erdös and Ramanujan: Legends of Twentieth Century Mathematicses the unusual itinerant life of Erdös, his idiosyncrasies, and his life’s mission to spot budding young mathematicians and encourage them. Erdös was inspired by Ramanujan’s work on prime numbers and arithmetical functions. The origins of probabilistic number theory founded by Erdös and Marc Kac inEsophagus 发表于 2025-3-24 19:32:29
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